From c5f482f3b87921aa892519be4f56d4b4a99ef1ec Mon Sep 17 00:00:00 2001 From: gianlum33 <g.marcozzi@fu-berlin.de> Date: Tue, 29 Oct 2024 10:06:41 +0100 Subject: [PATCH] Transfer to personal computer --- ciss_trEPRstickSpectra.asv | 128 ++ ciss_trEPRstickSpectra.m | 130 ++ .../Template.pptx | Bin 0 -> 647921 bytes ...castle_02_motivationNaamanPSIchirality.jpg | Bin 0 -> 116364 bytes .../castle_03_02_sigAmpTemperaturePSI.png | Bin 0 -> 111544 bytes .../castle_03_and_06_sigAmpTemperaturePSI.m | 237 +++ .../castle_04_01_simulExample.png | Bin 0 -> 119984 bytes .../castle_04_02_simulExample.png | Bin 0 -> 100894 bytes .../castle_04_03_simulExample.png | Bin 0 -> 114657 bytes .../castle_04_04_simulExample.png | Bin 0 -> 127110 bytes .../castle_04_05_cissPowder.png | Bin 0 -> 130093 bytes .../castle_04_simulExample.m | 414 +++++ .../castle_05_01_oneSpc.png | Bin 0 -> 236807 bytes .../castle_05_02_twoSpc.png | Bin 0 -> 298873 bytes .../castle_05_03_threeSpc.png | Bin 0 -> 349337 bytes 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ciss_trEPRstickSpectra.m create mode 100644 reports/20241018_castleMonthlyUpdates/Template.pptx create mode 100755 reports/20241018_castleMonthlyUpdates/castle_02_motivationNaamanPSIchirality.jpg create mode 100644 reports/20241018_castleMonthlyUpdates/castle_03_02_sigAmpTemperaturePSI.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_03_and_06_sigAmpTemperaturePSI.m create mode 100644 reports/20241018_castleMonthlyUpdates/castle_04_01_simulExample.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_04_02_simulExample.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_04_03_simulExample.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_04_04_simulExample.png create mode 100755 reports/20241018_castleMonthlyUpdates/castle_04_05_cissPowder.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_04_simulExample.m create mode 100644 reports/20241018_castleMonthlyUpdates/castle_05_01_oneSpc.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_05_02_twoSpc.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_05_03_threeSpc.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_05_04_fourSpc.png create mode 100644 reports/20241018_castleMonthlyUpdates/castle_05_specShapeTimeAndTemperature.m create mode 100644 reports/20241018_castleMonthlyUpdates/castle_06_01_zoomSigAmpTemperaturePSI.png create mode 100755 reports/20241018_castleMonthlyUpdates/castle_extra_01_naaman.jpg create mode 100755 reports/20241018_castleMonthlyUpdates/castle_extra_02_naaman.jpg create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_example_01.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_example_02.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_example_03.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_example_04.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_01.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_02.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_03.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_04.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_05.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_06.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_07.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_08.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_09.png create mode 100644 reports/20241018_castleMonthlyUpdates/not_used/trEPRsimul_newVsOld_10.png create mode 100644 reports/20241018_castleMonthlyUpdates/trEPRsimul_comparisonOnZechPSI.m create mode 100644 reports/20241018_castleMonthlyUpdates/trEPRsimul_newVsOld.m create mode 100644 reports/20241018_castleMonthlyUpdates/zechPSI_trEPRsigAmp_vsTemperature_01.png create mode 100644 reports/20241018_castleMonthlyUpdates/zechPSI_trEPRsigAmp_vsTemperature_02.png create mode 100755 reports/20241018_castleMonthlyUpdates/zechPSI_trEPRsigAmp_vsTemperature_03.png create mode 100755 util/averageoversolidanglemask.m create mode 100644 util/intensityresonance.m create mode 100644 util/myeigenenergies.m create mode 100644 zech_dPSItrEPR_gInhBroadeningVsUsual.m diff --git a/ciss_trEPRstickSpectra.asv b/ciss_trEPRstickSpectra.asv new file mode 100644 index 0000000..919b9df --- /dev/null +++ b/ciss_trEPRstickSpectra.asv @@ -0,0 +1,128 @@ +% +clearvars + +%% System definition + +Sys0.S = [1/2 1/2]; +Sys0.g = [2.0030 2.0026 2.0023; ... % P700+ + 2.0062 2.0051 2.0022]; % A1- +Sys0.gFrame = [-10 -128 -83; ... + 0 0 0]*pi/180; +Sys0.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- + +Sys.g = Sys0.g; +Sys.gFrame = Sys0.gFrame; +Sys.dip = mt2mhz(-0.170); % MHz +Sys.J = mt2mhz(1e-3); % MHz +Sys.eeFrame = Sys0.eeFrame; +Sys.nNuc = 3; +Sys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz +Sys.AFrame = [0 0 0 60 -90 0]*pi/180; +Sys.trlwpp = 0.35; + +Sys.rho = zeros(4, 4); +% Up-down and down-up +Sys.rho(2, 2) = 1; +Sys.rho(3, 3) = 1; +Sys.rho = 1/2*Sys.rho; +% Singlet +% Sys.rho(2, 2) = 1; +% Sys.rho(2, 3) = -1; +% Sys.rho(3, 2) = -1; +% Sys.rho(3, 3) = 1; +% Sys.rho = 1/2*Sys.rho; + +Sys.mwFreq = 9.6; +Sys.x = linspace(340.5, 344, 301); % mT +Sys.nTheta = 50; +Sys.nPhi = 20; + +%% + +test = treprstickspectrum(Sys); +aa0 = averageoversolidangle(test, Sys.nTheta, Sys.nPhi, 2); +% clf +hold on +box on +plot(Sys.x, aa0/) + +%% +function signal = treprstickspectrum(Sys) + + fieldAxis = Sys.x; + nField = numel(fieldAxis); + dip = Sys.dip; + JJ = Sys.J; + trlwpp = Sys.trlwpp; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + rhoInit = Sys.rho; % This should be in the T+, S, T0, T- basis + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + nSolidAngle = nTheta*nPhi; + + + % Direction of B0 + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + size(nVers) + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + % Hyperfine + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + signal = zeros(nField, nSolidAngle); + for ii = 1:nSolidAngle + disp(floor(ii/nSolidAngle*100)) + gPlus = 1/2*(g1(ii) + g2(ii)); + gMinus = 1/2*(g1(ii) - g2(ii)); + + w0_ = gvalue2freq(fieldAxis, gPlus); + deltaw_ = gvalue2freq(fieldAxis, gMinus); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + pascalFactor = pascalFactor'/sum(pascalFactor); + else + pascalFactor = 1; + end + + for itrans = 1:4 + for ihfi = 1:nHfiLine + w0__ = w0_ + quantNumNuc(ihfi)*APlus(ihfi); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ihfi); + wReson = myeigenenergies(w0__, deltaw__, JJ, dd(ii), itrans); + intensityReson = intensityresonance(rhoInit, nVers(:, ii), deltaw__, JJ, dd(ii), itrans); + signal__ = gaussianresonancebsweep( ... + wReson*1e-3, mwFreq, mt2mhz(trlwpp)*1e-3, "lwpp"); + signal(:, ii) = signal(:, ii) + intensityReson'.*signal__'*pascalFactor(ihfi); + + end + end + end + +end + diff --git a/ciss_trEPRstickSpectra.m b/ciss_trEPRstickSpectra.m new file mode 100755 index 0000000..d4de771 --- /dev/null +++ b/ciss_trEPRstickSpectra.m @@ -0,0 +1,130 @@ +% +clearvars + +%% System definition + +Sys0.S = [1/2 1/2]; +Sys0.g = [2.0030 2.0026 2.0023; ... % P700+ + 2.0062 2.0051 2.0022]; % A1- +Sys0.gFrame = [-10 -128 -83; ... + 0 0 0]*pi/180; +Sys0.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- + +Sys.g = Sys0.g; +Sys.gFrame = Sys0.gFrame; +Sys.dip = mt2mhz(-0.170); % MHz +Sys.J = mt2mhz(1e-3); % MHz +Sys.eeFrame = Sys0.eeFrame; +Sys.nNuc = 3; +Sys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz +Sys.AFrame = [0 0 0 60 -90 0]*pi/180; +Sys.trlwpp = 0.35; + +Sys.rho = zeros(4, 4); +% Up-down and down-up +Sys.rho(2, 2) = 1; +Sys.rho(3, 3) = 1; +Sys.rho = 1/2*Sys.rho; +% Singlet +% Sys.rho(2, 2) = 1; +% Sys.rho(2, 3) = -1; +% Sys.rho(3, 2) = -1; +% Sys.rho(3, 3) = 1; +% Sys.rho = 1/2*Sys.rho; + +Sys.mwFreq = 9.6; +Sys.x = linspace(340.5, 344, 301); % mT +Sys.nTheta = 50; +Sys.nPhi = 20; + +%% + +test = treprstickspectrum(Sys); +aa0 = averageoversolidangle(test, Sys.nTheta, Sys.nPhi, 2); +aa0 = real(aa0); +figure() +clf +hold on +box on +plot(Sys.x, aa0/max(abs(aa0))) + +%% +function signal = treprstickspectrum(Sys) + + fieldAxis = Sys.x; + nField = numel(fieldAxis); + dip = Sys.dip; + JJ = Sys.J; + trlwpp = Sys.trlwpp; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + rhoInit = Sys.rho; % This should be in the T+, S, T0, T- basis + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + nSolidAngle = nTheta*nPhi; + + + % Direction of B0 + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + size(nVers) + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + % Hyperfine + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + signal = zeros(nField, nSolidAngle); + for ii = 1:nSolidAngle + disp(floor(ii/nSolidAngle*100)) + gPlus = 1/2*(g1(ii) + g2(ii)); + gMinus = 1/2*(g1(ii) - g2(ii)); + + w0_ = gvalue2freq(fieldAxis, gPlus); + deltaw_ = gvalue2freq(fieldAxis, gMinus); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + pascalFactor = pascalFactor'/sum(pascalFactor); + else + pascalFactor = 1; + end + + for itrans = 1:4 + for ihfi = 1:nHfiLine + w0__ = w0_ + quantNumNuc(ihfi)*APlus(ihfi); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ihfi); + wReson = myeigenenergies(w0__, deltaw__, JJ, dd(ii), itrans); + intensityReson = intensityresonance(rhoInit, nVers(:, ii), deltaw__, JJ, dd(ii), itrans); + 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"/net/storage/gianlum33/projects/zech_psi/data/processed/"; +loadFileName = loadFolder + "ZePSI-E-011"; + +load(loadFileName) +xx = x; +yOld = y; +yLoad = yOld(1, 1:8); + +loadFileName = loadFolder + "ZePSI-E-011-part2"; +load(loadFileName) + +yLoad(9:12) = y(4:-1:1); % 230 240 250 260 + +nMeas = numel(yLoad); + +%% + +[nt, nB] = size(yLoad{1}); + +y = yLoad; +% for ii = 1:nMeas +% for iB = 1:nB +% y{ii}(:, iB) = datasmooth(yLoad{ii}(:, iB), 20, 'savgol'); +% end +% end + +% Scrollable traces +clf +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +for ii = 1:nMeas + nexttile + h = ScrollableAxes(); + % ii = 8; + if ii < 9 + plot(h, xx{1}, xx{2}, yLoad{ii}); + else + plot(h, x{1}, x{2}, yLoad{ii}); + end + hold on + title(string(60 + ii*20)) + % plot(h, x{1}, x{2}, y{ii}'); +end + +%% + +% temperatures = [80:20:260, 265, 260:-10:220]; +temperatures = [80:20:220, 230:10:260]; +% temperatures = 260:-10:220; + +noiseRange = [min(x{2}), 338.7; 341.5, max(x{2})]; +[iTimeMax, snr0AtMax, snr1AtMax, ppAmpMax, sigAmpMax, ... + noiseLev0AtMax, noiseLev1AtMax, peaksRatio, ... + maxR, maxL] = deal(zeros(size(temperatures))); +for ii = 1:nMeas + iTimeMax_ = 0; + % ppAmpMax_ = 0; + sigAmpMax_ = 0; + snrAtMax_ = 0; + noise1LevAtMax_ = 0; + for it = 1:1200 + % [snr1, ppAmp, noiseLev1] = getSNR(x{2}, y{ii}(it, :), noiseRange); + sigAmp = max(y{ii}(it, :)); + % if ppAmp > ppAmpMax_ + if sigAmp > sigAmpMax_ + iTimeMax_ = it; + sigAmpMax_ = sigAmp; + % [snr1AtMax_, ppAmpMax_, noiseLev1AtMax_] = getSNR( ... + % x{2}, y{ii}(it, :), noiseRange); + if ii < 9 + [~, ~, noiseLev1AtMax_] = getSNR( ... + xx{2}, y{ii}(it, :), noiseRange); + snr1AtMax_ = sigAmpMax_/noiseLev1AtMax_; + [~, ~, noiseLev0AtMax_] = getSNR(... + xx{2}, yLoad{ii}(it, :), noiseRange); + snr0AtMax_ = sigAmpMax_/noiseLev0AtMax_; + else + [~, ~, noiseLev1AtMax_] = getSNR( ... + x{2}, y{ii}(it, :), noiseRange); + snr1AtMax_ = sigAmpMax_/noiseLev1AtMax_; + [~, ~, noiseLev0AtMax_] = getSNR(... + x{2}, yLoad{ii}(it, :), noiseRange); + snr0AtMax_ = sigAmpMax_/noiseLev0AtMax_; + end + end + end + + iTimeMax(ii) = iTimeMax_; + snr1AtMax(ii) = snr1AtMax_; + snr0AtMax(ii) = snr0AtMax_; + % ppAmpMax(ii) = ppAmpMax_; + sigAmpMax(ii) = sigAmpMax_; + noiseLev1AtMax(ii) = noiseLev1AtMax_; + noiseLev0AtMax(ii) = noiseLev0AtMax_; + maxR(ii) = max(y{ii}(iTimeMax(ii), :)); + maxL(ii) = max(y{ii}(iTimeMax(ii), 100)); % iLeftPeak = 100 + peaksRatio(ii) = maxR/maxL; + +end +% facMult = sigAmpMax(8)/0.52/sigAmpMax(end); + +% Adjust for factor between days +for ii = 1:nMeas + + % if ii >= 12 + % sigAmpMax(ii) = sigAmpMax(ii)*1.1; + % snr1AtMax(ii) = snr1AtMax(ii)*1.1; + % snr0AtMax(ii) = snr0AtMax(ii)*1.1; + % See ZePSI_011_02_factorBetweenDays.m + if ii >= 5 && ii < 9 %&& strcmp(loadFileName, "../data/processed/ZePSI-E-011") + % ppAmpMax(ii) = ppAmpMax(ii)/0.52; + sigAmpMax(ii) = sigAmpMax(ii)/0.52; + snr1AtMax(ii) = snr1AtMax(ii)/0.52; + snr0AtMax(ii) = snr0AtMax(ii)/0.52; + end + if ii >= 9 + % ppAmpMax(ii) = ppAmpMax(ii)/2.56; + sigAmpMax(ii) = sigAmpMax(ii)/1.1; + snr1AtMax(ii) = snr1AtMax(ii)/1.1; + snr0AtMax(ii) = snr0AtMax(ii)/1.1; + end +end + +figure(4) +xTicks = temperatures; +% xTicks = flip(temperatures); + +clf +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +nexttile(1, [2, 4]) +cmap = viridis(nMeas); +for ii = 1:nMeas + % yplot = y{ii}(4000, :); + if ii < 9 + xplot = xx; + yplot = rescaledata(y{ii}(400, :), 'maxabs'); + else + xplot = x; + yplot = rescaledata(y{ii}(200, :), 'maxabs'); + end + plot(xplot{2}, yplot, ... + 'DisplayName', string(temperatures(ii)) + " K", ... + 'Color', cmap(ii, :)) + hold on +end +legend() +xlim(setaxlim(x{2}, 1)) +xline(x{2}(100), 'DisplayName', 'Position of shoulder') + +nexttile +plot(temperatures, snr1AtMax, 'o-') % Filtered ppAmp / filtered noise +yyaxis right +% plot(temperatures, snr0AtMax, 'o-') % Filtered ppAmp / non-filtered noise +xlim(setaxlim(temperatures, 1.05)) +% xticks(xTicks) +title('SNR at max') +legend('Smooth', 'No filter', 'Location', 'southwest') +% +nexttile +plot(temperatures, noiseLev1AtMax, 'o-') % Filtered noise +yyaxis right +% plot(temperatures, noiseLev0AtMax, 'o-') % Non-filtered noise +xlim(setaxlim(temperatures, 1.05)) +% xticks(xTicks) +title('noiseLev at max') +% +nexttile +errorbar(temperatures, sigAmpMax, 2*noiseLev0AtMax, 'o-') +xline(140) +xline(220) +xlim(setaxlim(temperatures, 1.05)) +% xticks(xTicks) +% title('ppAmp max') +title('max of signal') +% +nexttile +% errbar from non-filtered data. Also possible: hypot(1./maxR, 1./maxL) +errbar = peaksRatio.*noiseLev0AtMax.*(1./maxR + 1./maxL); +errorbar(temperatures, peaksRatio, errbar, 'o-') +hold on +xlim(setaxlim(temperatures, 1.05)) +ylim(setaxlim(peaksRatio, 1.5)) +xticks(xTicks) +title('peaks ratio at max') + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE castle_03_02_sigAmpTemperaturePSI +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% figure() +clf +errorbar(temperatures, sigAmpMax/max(sigAmpMax), 5*noiseLev0AtMax/max(sigAmpMax), 'o-k') +ax0 = gca; + +xlim(setaxlim(temperatures, 1.1)) +ylim(setaxlim(sigAmpMax/max(sigAmpMax), 1.125)) +xticks(100:40:260) +yticks(0:0.5:1) + +set(gca, 'Xdir', 'reverse') +labelaxesfig(gca, 'Temperature / K', 'trEPR amplitude norm. / a.u.') + +saveFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; + +savePath = fullfile(saveFolder, "castle_03_02_sigAmpTemperaturePSI.png"); +% exportgraphics(gcf, savePath, 'Resolution', 600) + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE castle_06_01_zoomSigAmpTemperaturePSI +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Create a new pair of axes inside current figure +ax1 = axes('Position', [.475 .25 .4 .4]); +box on + +iPlot = 6:12; +xplot = temperatures(iPlot); +yplot = sigAmpMax(iPlot)/max(sigAmpMax); +errBar = 5*noiseLev0AtMax(iPlot)/max(sigAmpMax); + +errorbar(xplot, yplot, errBar, 'o-k') + +xticks(ax1, 200:10:260) +yticks(ax1, 0:0.5:1) +xlim(setaxlim([200, 260], 1.075)) +ylim([-0.05 1]) +% coordPos = [0.15, 0.175, 0.275, 0.6]; +% annotation('rectangle', coordPos) +% annotation("arrow", [coordPos(1) + coordPos(3), 0.6 ) +set(gca, 'Xdir', 'reverse') + +savePath = fullfile(saveFolder, "castle_06_01_zoomSigAmpTemperaturePSI.png"); +% exportgraphics(gcf, savePath, 'Resolution', 600) \ No newline at end of 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zUHu!hgZJ{~;^*h){`>du;K75|<?mjU?0P6sU0v<&?yjz`?(Tm4;$nBu0;uobzn2#l wI*P+11u^Cbw}64+K#&b=za)|<!@ukQneClUt#Y04@H0r<)78&qol`;+0QW9V6951J literal 0 HcmV?d00001 diff --git a/reports/20241018_castleMonthlyUpdates/castle_04_simulExample.m b/reports/20241018_castleMonthlyUpdates/castle_04_simulExample.m new file mode 100644 index 0000000..b3b20e5 --- /dev/null +++ b/reports/20241018_castleMonthlyUpdates/castle_04_simulExample.m @@ -0,0 +1,414 @@ +% +saveFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; +load('plotColors.mat') + +FLAG_CALCULATE_INH_BROAD = 0; +FLAG_SAVE_FIG = 1; + +g1 = 2.006; +g2 = 2.002; +bfieldg1 = mhz2mt(9.7, g1)*1e3; +bfieldg2 = mhz2mt(9.7, g2)*1e3; + +d0 = mhz2mt(-5); % mT +J = 0; + +nPoint = 1500; +bWidth = 2.5; % mT + +gInhLwSmall = 0.1; +gInhLwLarge = 1; +trlwppSmall = gInhLwSmall - 0.01; +trlwppLarge = gInhLwLarge - 0.2; + +gInhLw = gInhLwSmall; +% gInhLw = gInhLwLarge; +trlwpp = trlwppSmall; +% trlwpp = trlwppLarge; + +bCenter = 1/2*(bfieldg2 + bfieldg1); +bDiff = 1/2*(bfieldg2 - bfieldg1); + +Omega = hypot(bDiff, (J + d0/2))'; % mT +bMin = bCenter - bWidth/2; +bMax = bCenter + bWidth/2; +xx = linspace(bMin, bMax, nPoint); + +% Find bres1 and bres2 in xx +[~, ires1] = min(abs(xx - bfieldg1)); +[~, ires2] = min(abs(xx - bfieldg2)); + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 1 +% castle_04_01_simulExample.png +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +fig = figure(1); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +ann1 = "g_{eff} = " + string(g1); +xann1 = 344.8; +xann2 = 346.25; +yann = -0.13; +text(xann1, yann, ann1, 'FontSize', 14) +ann2 = "g_{eff} = " + string(g2); +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "castle_04_01_simulExample.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 2 +% castle_04_02_simulExample +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +bres1 = bCenter - (J - d0) - Omega; +bres2 = bCenter + (J - d0) - Omega; +bres3 = bCenter - (J - d0) + Omega; +bres4 = bCenter + (J - d0) + Omega; + +fig = figure(2); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +yline(0, 'HandleVisibility', 'off') +xline([bres1, bres2, bres3, bres4], '--', 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +ax = gca; +axCenter = ax.Position(1) + ax.Position(3)/2; +xOmega = [-1, 1]*Omega/bWidth*ax.Position(3) + axCenter; +xDiff1 = [-1, 1]*d0/bWidth*ax.Position(3) + xOmega(1); +xDiff2 = [-1, 1]*d0/bWidth*ax.Position(3) + xOmega(2); +annotation('doublearrow', xOmega, [.45, .45]) +annotation('doublearrow', xDiff1, [.7, .7]) +annotation('doublearrow', xDiff2, [.7, .7]) + +xlim(setaxlim(xx)) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "castle_04_02_simulExample.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 3 +% castle_04_03_simulExample +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +scale = 0.75; +yspc1 = scale*gaussian(xx, bres1, trlwpp)/max(gaussian(xx, bres1, trlwpp)); +yspc2 = scale*gaussian(xx, bres2, trlwpp)/max(gaussian(xx, bres2, trlwpp)); +yspc3 = scale*gaussian(xx, bres3, trlwpp)/max(gaussian(xx, bres3, trlwpp)); +yspc4 = scale*gaussian(xx, bres4, trlwpp)/max(gaussian(xx, bres4, trlwpp)); +yspc = (yspc1 - yspc2 + yspc3 - yspc4); +fig = figure(3); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +% plot(0, 0, 'HandleVisibility', 'off') % Chaotic way to skip one color +% plot(xx, yspc1, 'DisplayName', 'Reson. 1') +% plot(xx, -yspc2, 'DisplayName', 'Reson. 2') +% plot(xx, yspc3, 'DisplayName', 'Reson. 3') +% plot(xx, -yspc4, 'DisplayName', 'Reson. 4') +plot(xx, yspc, 'Color', plotColors(2, :), 'DisplayName', 'No CISS') +% yline(0, 'HandleVisibility', 'off') +xline([bres1, bres2, bres3, bres4], '--', 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "castle_04_03_simulExample.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 4 +% castle_04_04_simulExample +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +scale = 0.75; +yspc1 = 5/4*scale*gaussian(xx, bres1, trlwpp)/max(gaussian(xx, bres1, trlwpp)); +yspc2 = 5/4*scale*gaussian(xx, bres2, trlwpp)/max(gaussian(xx, bres2, trlwpp)); +yspc3 = 3/4*scale*gaussian(xx, bres3, trlwpp)/max(gaussian(xx, bres3, trlwpp)); +yspc4 = 3/4*scale*gaussian(xx, bres4, trlwpp)/max(gaussian(xx, bres4, trlwpp)); +yspcCISS = (yspc1 - yspc2 + yspc3 - yspc4); +fig = figure(4); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +% plot(0, 0, 'HandleVisibility', 'off') % Chaotic way to skip one color +% plot(xx, yspc1, 'DisplayName', 'Reson. 1') +% plot(xx, -yspc2, 'DisplayName', 'Reson. 2') +% plot(xx, yspc3, 'DisplayName', 'Reson. 3') +% plot(xx, -yspc4, 'DisplayName', 'Reson. 4') +plot(xx, yspc, 'Color', plotColors(2, :), 'DisplayName', 'No CISS') +hold on +plot(xx, yspcCISS, 'Color', plotColors(6, :), 'DisplayName', 'CISS') + +% yline(0, 'HandleVisibility', 'off') +xline([bres1, bres2, bres3, bres4], '--', 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "castle_04_04_simulExample.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%% +%{ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 4 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + scale = 0.75; + +fig = figure(4); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspc, 'k', 'DisplayName', 'Method 1') +% yline(0, 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_example_04.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 5 AND FIGURE 9 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +bgInh1 = gaussian(xx, bfieldg1, gInhLw); +bgInh1 = bgInh1/max(bgInh1)*0.5; +bgInh2 = gaussian(xx, bfieldg2, gInhLw); +bgInh2 = bgInh2/max(bgInh2)*0.5; + +fig = figure(5); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, bgInh1, '--', 'Color', plotColors(2, :), 'DisplayName', 'g-value distr.') +plot(xx, bgInh2, '--', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +text(xann1, yann, ann1, 'FontSize', 14) +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +if FLAG_SAVE_FIG + if gInhLw == gInhLwSmall + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_05.png"); + % exportgraphics(fig, savePath, 'Resolution', 600) + elseif gInhLw == gInhLwLarge + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_09.png"); + % exportgraphics(fig, savePath, 'Resolution', 600) + end +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 6 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +iCut = bgInh1 > 0.045; +bgInh1o = bgInh1(iCut); +xx1o = xx(iCut); +iCut = 1:2:numel(xx1o); +bgInh1o = bgInh1o(iCut); +xx1o = xx1o(iCut); +iCut = 1:5:numel(bgInh1o); +bgInh1oPlot = bgInh1o(iCut); +xx1oPlot = xx1o(iCut); + +iCut = bgInh2 > 0.045; +bgInh2o = bgInh2(iCut); +xx2o = xx(iCut); +iCut = 1:2:numel(xx2o); +bgInh2o = bgInh2o(iCut); +xx2o = xx2o(iCut); +iCut = 1:5:numel(bgInh2o); +bgInh2oPlot = bgInh2o(iCut); +xx2oPlot = xx2o(iCut); + +fig = figure(6); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, bgInh1, '--', 'Color', plotColors(2, :), 'DisplayName', 'g-value distr.') +plot(xx, bgInh2, '--', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +plot(xx1oPlot, bgInh1oPlot, 'o', 'Color', plotColors(2, :), 'DisplayName', 'g-value sampling') +plot(xx2oPlot, bgInh2oPlot, 'o', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +text(xann1, yann, ann1, 'FontSize', 14) +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + % savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_06.png"); + % exportgraphics(fig, savePath, 'Resolution', 600) +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 7 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +if gInhLw == gInhLwSmall + smallLw = gInhLw/5; +else + smallLw = gInhLw/10; +end +gaussianFac = bgInh1o'*bgInh2o; +if FLAG_CALCULATE_INH_BROAD + yspcInh = zeros(size(yspc)); + for ii = 1:1 + for jj = 1:1 + bCenter_ = 1/2*(xx1o(ii) + xx2o(jj)); + bDiff_ = 1/2*(xx1o(ii) - xx2o(jj)); + + Omega_ = hypot(bDiff_, (J + d0/2))'; % mT + + bres1_ = bCenter_ - (J - d0) - Omega_; + bres2_ = bCenter_ + (J - d0) - Omega_; + bres3_ = bCenter_ - (J - d0) + Omega_; + bres4_ = bCenter_ + (J - d0) + Omega_; + + yspc_ = gaussian(xx, bres1_, smallLw)/max(gaussian(xx, bres1_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres2_, smallLw)/max(gaussian(xx, bres2_, smallLw)); + yspc_ = yspc_ + gaussian(xx, bres3_, smallLw)/max(gaussian(xx, bres3_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres4_, smallLw)/max(gaussian(xx, bres4_, smallLw)); + yspcInh = yspc_*gaussianFac(ii, jj); + + end + end +end + +fig = figure(7); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspcInh/max(yspcInh)*scale, 'Color', plotColors(2, :)) +xline([bres1_, bres2_, bres3_, bres4_], '--', 'HandleVisibility', 'off') + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + % savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_07.png"); + % exportgraphics(fig, savePath, 'Resolution', 600) +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 8 AND 10 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +fig = figure(8); + +clf +gaussianFac = bgInh1o'*bgInh2o; +if FLAG_CALCULATE_INH_BROAD + yspcInh = zeros(size(yspc)); + for ii = 1:numel(xx1o) + for jj = 1:numel(xx2o) + bCenter_ = 1/2*(xx1o(ii) + xx2o(jj)); + bDiff_ = 1/2*(xx1o(ii) - xx2o(jj)); + + Omega_ = hypot(bDiff_, (J + d0/2))'; % mT + + bres1_ = bCenter_ - (J - d0) - Omega_; + bres2_ = bCenter_ + (J - d0) - Omega_; + bres3_ = bCenter_ - (J - d0) + Omega_; + bres4_ = bCenter_ + (J - d0) + Omega_; + + yspc_ = gaussian(xx, bres1_, smallLw)/max(gaussian(xx, bres1_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres2_, smallLw)/max(gaussian(xx, bres2_, smallLw)); + yspc_ = yspc_ + gaussian(xx, bres3_, smallLw)/max(gaussian(xx, bres3_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres4_, smallLw)/max(gaussian(xx, bres4_, smallLw)); + yspcInh = yspcInh+yspc_*gaussianFac(ii, jj); + end + end +end + +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspcInh/max(yspcInh)*scale, 'k', 'DisplayName', 'Method 1') +plot(xx, yspc/max(yspc)*scale, 'Color', plotColors(2, :), 'DisplayName', 'Method 2') + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / 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+ "ZePSI-E-011"; + +load(loadFileName) +xx = x; +yOld = y; +yLoad = yOld(1, 1:8); + +loadFileName = loadFolder + "ZePSI-E-011-part2"; +load(loadFileName) + +yLoad(9:12) = y(4:-1:1); % 230 240 250 260 + +nMeas = numel(yLoad); + +%% + +[nt, nB] = size(yLoad{1}); + +y = yLoad; +% for ii = 1:nMeas +% for iB = 1:nB +% y{ii}(:, iB) = datasmooth(yLoad{ii}(:, iB), 20, 'savgol'); +% end +% end + +% Scrollable traces +clf +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +for ii = 1:nMeas + nexttile + h = ScrollableAxes(); + % ii = 8; + if ii < 9 + plot(h, xx{1}, xx{2}, yLoad{ii}); + else + plot(h, x{1}, x{2}, yLoad{ii}); + end + hold on + title(string(60 + ii*20)) + % plot(h, x{1}, x{2}, y{ii}'); +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURES castle_05_0x_{oneSpec|twoSpec|threeSpec|fourSpec}.png +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +temperOld = [80:20:260, 265]; +iTemps = [4, 8, 9, 10]; +iTimes = [500, 1500, 2000, 3000]; +cmap = inferno(numel(iTemps) + 1); +fig = figure(3); +fig.Position = [680 578 1.75*560 3/2*420]; +clf +tL = tiledlayout('flow', 'TileSpacing', 'none', 'Padding', 'compact'); +for ii = 1:numel(iTemps) + iTemp_ = iTemps(ii); + for it = 1:numel(iTimes) + ax(it) = nexttile(it); + it_ = iTimes(it); + + if ii ~= 4 || it == 1 + yplot = rescaledata(yOld{iTemp_}(it_, :), 'maxabs'); + xplot = xx{2}; + % yplot = y{ii}(it, :); + else + yplot = datasmooth(yLoad{end}(floor(it_/2), :), 4, 'savgol'); + yplot = rescaledata(yplot, 'maxabs'); + xplot = x{2}; + end + plot(xplot, yplot, ... + 'DisplayName', string(temperOld(iTemp_)) + " K", ... + 'Color', cmap(ii, :)) + + xlim(setaxlim(xx{2}, 1)) + ylim(setaxlim(... + [rescaledata(yOld{iTemps(1)}(it_, :), 'maxabs'), ... + rescaledata(yOld{iTemps(2)}(it_, :), 'maxabs'), ... + rescaledata(yOld{iTemps(3)}(it_, :), 'maxabs'), ... + rescaledata(yOld{iTemps(4)}(it_, :), 'maxabs')] , 1.05)) + + xticks(339:342) + yticks(-1:1) + ylim(setaxlim([-1, 1], 1.05)) + switch it + case 1 + xticklabels('') + case 2 + xticklabels('') + yticklabels('') + case 3 + % + case 4 + yticklabels('') + end + + hold on + if ii == 1 + text(341.5, 0.8, "t = " + string(round(xx{1}(it_)/1e3)) + " us", ... + 'FontSize', 14) + end + end + + + % rescaledata(yLoad{end}(floor(it_/2), :), 'maxabs') + % Get space above the plots + lgd1 = legend(ax(2), 'Location', 'northoutside', 'NumColumns', ii); + % Actual legend + % lgd1.Position(1) = 0.1; + % lgd = legend(ax(2), 'Location', 'northoutside', ... + % 'Position', lgd1.Position, 'NumColumns', ii); + + labelaxesfig(tL, 'Magnetic field / mT', 'trEPR signal norm. / a.u.') + + saveFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; + saveStrEnd = {"oneSpc", "twoSpc", "threeSpc", "fourSpc"}; + savePath = fullfile(saveFolder, ... + "castle_05_0" + string(ii) + "_" + saveStrEnd{ii} + ".png"); + exportgraphics(gcf, savePath, 'Resolution', 600) +end 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z)}E@Gnm=!DZf@t5UiJa9yo-SWHebeI(|$DzbUcTqrly{r*-W2J>qKQ_=1iC{Vak*% z+w<ci#i71<a28rPJec|F_3QJXo4)SsT(xS|t5;dwM<4w#HI?#BNqKUhk=eap&bHuz z!*P8MkOvqT7!JWSik?aPywrR8tbhBD9Xs~=`uh8ODub5>-Q7`mIBoM?Q+WY_3roGl z=lWfTlwjZ9-L<x`n9(~6YK%q?G@PLP2ESFXwJ}f;h6Db;<3Ddav2aJ`l!G8KPgg&e IbxsLQ0E>%eQ2+n{ literal 0 HcmV?d00001 diff --git a/reports/20241018_castleMonthlyUpdates/trEPRsimul_comparisonOnZechPSI.m b/reports/20241018_castleMonthlyUpdates/trEPRsimul_comparisonOnZechPSI.m new file mode 100644 index 0000000..06ca75a --- /dev/null +++ b/reports/20241018_castleMonthlyUpdates/trEPRsimul_comparisonOnZechPSI.m @@ -0,0 +1,430 @@ +% +% clearvars + +%% Easyspin simulation + +Sys.S = [1/2 1/2]; +Sys.g = [2.00308 2.00264 2.00226; ... % P700+ + 2.00622 2.00507 2.00218]; % A1- +Sys.gFrame = [-10 -128 -83; ... + 0 0 0]*pi/180; +Sys.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- + +Sys.J = (-1/2)*unitconvert(1e-3,'mT->MHz'); % MHz +Sys.dip = unitconvert(0.170,'mT->MHz')/1.5; % MHz +Sys.initState = 'singlet'; + +fieldAxis = linspace(343.635, 347.635, 301); % GHz +mwFreq = 9.7; % GHz + +Opt.GridSize = [91 0]; +Opt.GridSymmetry = ''; + +% Field sweep +Exp.CenterSweep = [mean(fieldAxis), max(fieldAxis) - min(fieldAxis)]; +Exp.mwFreq = mwFreq; +Exp.Harmonic = 0; +Exp.nPoints = numel(fieldAxis); + +Sys.lwpp = 0.35; % mT + +ySim = pepper(Sys, Exp, Opt); +ySim = ySim/max(abs(ySim)); + +clf +plot(fieldAxis, ySim) + +%% + +% pathFolder = "/net/storage/gianlum33/"; +pathFolder = "S:\"; +pathFolder = pathFolder + "projects/zech_psi/data/processed/"; +fileName = "ZePSI-E-011.mat"; + +iTime = 1000; +importedData = load(fullfile(pathFolder, fileName)); +xdata = importedData.x{2}; +ydata = importedData.y{4}(iTime, :); +ydata = ydata/max(abs(ydata)); +% figure() +% clf +hold on +plot(xdatareal, ydata) +hold on +legend() + +%% My powder average (only for equivalent nuclei) + +mySys.calculategInhBroadening = 1; +mySys.g = Sys.g; +mySys.gFrame = Sys.gFrame; +mySys.dip = mt2mhz(-0.170); % MHz +mySys.J = mt2mhz(1e-3); % MHz +mySys.eeFrame = Sys.eeFrame; +mySys.nNuc = 3; +mySys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz +mySys.AFrame = [0 0 0 60 -90 0]*pi/180; + +mySys.rho = zeros(4, 4); +% Up-down and down-up +% mySys.rho(2, 2) = 1; +% mySys.rho(3, 3) = 1; +% Singlet +mySys.rho(2, 2) = 1; +mySys.rho(2, 3) = -1; +mySys.rho(3, 2) = -1; +mySys.rho(3, 3) = 1; +mySys.rho = 1/2*mySys.rho; + +mySys.mwFreq = 9.6; +mySys.x = xdata; +mySys.nTheta = 40; +mySys.nPhi = 20; +mySys.nSamplegInh1 = 20; +mySys.nSamplegInh2 = 20; +mySys.coeffResLw = 0.2; + +mySys.lw1 = 0.67; % mT +% mySys.lw1 = 0.1; % mT +% mySys.lw2 = 0.25; % mT +mySys.lw2 = 0.39; % mT +% mySys.trlwpp1 = 0.75; +% mySys.trlwpp2 = 0.32; +mySys.xshift = 1.89; +mySys.trlwpp1 = 0.7; +mySys.trlwpp2 = 0.3; + +% Vary = struct( ... +% 'lw1', mySys.lw1 - 0.005, ... +% 'lw2', mySys.lw2 - 0.005, ... +% 'xshift', 3); +Vary = struct( ... + 'trlwpp1', mySys.trlwpp1 - 0.005, ... + 'trlwpp2', mySys.trlwpp2 - 0.005, ... + 'xshift', 3); + +% FitOpt.maxTime = 0.1; +FitOpt.TolFun = 1e-4; +FitOpt.TolEdgeLength = 1e-4; +FitOpt.CalculateUncertainties = 1; +FitOpt.Method = 'levmar'; +FitOpt.Gradient = 1e-4; +FitOpt.TolStep = 1e-6; +FitOpt.AutoScale = 'lsq'; + +% tic +% ySimSing = treprstickspectrum(mySys); +% FitSing = esfit(ydata, @treprstickspectrum, {mySys}, {Vary}, FitOpt); +% toc + +% mySys.rho = zeros(4, 4); +% % (sigmaUpDown + sigmaDownUp)/2 +% mySys.rho(2, 2) = 1; +% mySys.rho(3, 3) = 1; +% mySys.rho = mySys.rho/2; + +tic +% [ySimCiss, signalCiss] = treprstickspectrum(mySys); +Fit = esfit(ydata, @treprstickspectrum, {mySys}, {Vary}, FitOpt); +toc + +xdatareal = xdata + FitSing.pfit(3); +% figure() +clf +% tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +% nexttile +plot(xdatareal, ydata) +hold on +plot(xdatareal, FitSing.fit) +plot(xdatareal, rescaledata(ySimCiss, ydata, 'lsq')) +% for ii = 1:20 +% plot(xdatareal, rescaledata(signalCiss(:, ii), ydata, 'lsq')) +% end +% plot(xdatareal, rescaledata(ySim1 + ySim2, ydata, 'lsq')) +% plot(xdatareal, Fit.fit) +xlim(setaxlim(xdatareal)) + +%% +[thetas__, phis__] = createthetaphigrid(mySys.nTheta, mySys.nPhi); +nVers__ = ang2vec(ones(mySys.nTheta, 1)*phis__, thetas__*ones(1, mySys.nPhi)); + +clf +plot(nVers__(3, 1:mySys.nTheta)) + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE castle_03_02_expDataFit160K.png +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +load("plotColors.mat") +xplot = xdatareal; +yplot = rescaledata(importedData.y{5}(1000, :), 'maxabs'); + +% figure() +clf +plot(xplot, yplot, 'k') +hold on +box on +plot(xplot, FitSing.fit, 'Color', plotColors(2, :)) + +xlim(setaxlim(xplot, 1)) +ylim(setaxlim([yplot, FitSing.fit'], 1.05)) +xticks(340:344) +yticks(-1:1) + +labelaxesfig(gca, 'Magnetic Field / mT', 'trEPR signal norm. / a.u.') +legend("Exp. data", "Best-fit simul.") + +saveFolder = "S:\projects\oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; +savePath = fullfile(saveFolder, "castle_03_02_expDataFit160K.png"); +% exportgraphics(gcf, savePath, 'Resolution', 600) + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE castle_04_05_cissPowder.png +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +load("plotColors.mat") +xplot = xdatareal; +fitfitplot = rescaledata(FitSing.fit, 'maxabs'); +% figure() +clf +plot(xdatareal, fitfitplot, 'Color', plotColors(2, :)) +hold on +box on +plot(xplot, rescaledata(ySimCiss, 'maxabs'), ... + 'Color', plotColors(6, :)) + +xlim(setaxlim(xplot, 1)) +ylim(setaxlim([fitfitplot', rescaledata(ySimCiss, ydata, 'lsq')'], 1.05)) +xticks(340:344) +yticks(-1:1) + +labelaxesfig(gca, 'Magnetic Field / mT', 'trEPR signal norm. / a.u.') +legend("Simul. no CISS", "Simul. 100% CISS") + +saveFolder = "S:\projects\oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; +savePath = fullfile(saveFolder, "castle_04_05_cissPowder.png"); +% exportgraphics(gcf, savePath, 'Resolution', 600) + +%% + +function data = mytreprmf(Sys) + + nSpc = numel(Sys.mwFreq_MF); + fields = fieldnames(Sys); + for ispc = 1:nspc + for ifield = 1:numel(fields) + f = fields{ifield}; + if endsWith(f, '_MF') + f_ = f(1:end - 3); + Sys.(f_) = Sys.(f){ispc}; + end + end + data{ispc} = mytrepr(Sys); + end +end + +% function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys) +function ySim = mytrepr(Sys) + fieldAxis = Sys.x + Sys.xshift; + Bmean = mean(fieldAxis); + dip = Sys.dip; + JJ = Sys.J; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Parameters for g broadening + lw1 = mt2mhz(Sys.lw1); + lw2 = mt2mhz(Sys.lw2); + % The g-factor linewidth + glw1 = freq2gvalue(Bmean, lw1); + glw2 = freq2gvalue(Bmean, lw2); + % Spacing between g-values + dgax1 = glw1 / Sys.nSamplegInh1; + dgax2 = glw2 / Sys.nSamplegInh2; + resLw = min(lw1, lw2)*Sys.coeffResLw*1e-3; % GHz + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + nSolidAngle = nTheta*nPhi; + + % Direction of B0 + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + ySim = zeros(numel(fieldAxis), 1); + for ii = 1 % :nSolidAngle + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + + [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); + [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); + ngax1 = numel(gax1); + ngax2 = numel(gax2); + + gaussianFactor = gInh1'*gInh2; + gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); + gaussianFactor = gaussianFactor(:)'; + + gPlus = 1/2*(repmat(gax1', [1, ngax2]) + repmat(gax2, [ngax1, 1])); + gPlus = gPlus(:)'; + gMinus = 1/2*(repmat(gax1', [1, ngax2]) - repmat(gax2, [ngax1, 1])); + gMinus = gMinus(:)'; + %} + + w0_ = gvalue2freq(fieldAxis', gPlus); + deltaw_ = gvalue2freq(fieldAxis', gMinus); + sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); + + quantNumNuc = -nNuc/2:1:nNuc/2; + signJmd = [-1, 1, -1, 1]; + signOmega = [-1, -1, 1, 1]; + signIntens = [1, -1, 1, -1]; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + else + pascalFactor = 1; + end + + for itrans = 1:4 + for ihfi = 1:nHfiLine + w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); + Omega__ = hypot(deltaw__, JJ + dd(ii)/2); + wReson = w0__ + signJmd(itrans)*(JJ - dd(ii)) + ... + signOmega(itrans)*Omega__; + + intensityReson = signIntens(itrans)*1/8*... + (deltaw__.^2)./(Omega__.^2); + trSignal__ = gaussianresonancebsweep(... + wReson*1e-3, mwFreq, resLw, "lwpp"); + trSignal__ = intensityReson.*trSignal__*... + pascalFactor(ihfi).*gaussianFactor; + ySim = ySim + sum(trSignal__, 2)*sintheta_; + end + end + %} + end + %} +% ySim = ySim/max(abs(ySim)); + +end + +% function [ySim, signal] = treprstickspectrum(Sys) +function ySim = treprstickspectrum(Sys) + + fieldAxis = Sys.x + Sys.xshift; + nField = numel(fieldAxis); + dip = Sys.dip; + JJ = Sys.J; + trlwpp1 = Sys.trlwpp1; + trlwpp2 = Sys.trlwpp2; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + rhoInit = Sys.rho; + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + longPhis = ones(nTheta, 1)*phis; + longThetas = thetas*ones(1, nPhi); + nSolidAngle = nTheta*nPhi; + + + % Direction of B0 + nVers = ang2vec(longPhis, longThetas); + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + % Hyperfine + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + signal = zeros(nField, nSolidAngle); + parfor ii = 1:nSolidAngle + % disp(floor(ii/nSolidAngle*100)) + gPlus = 1/2*(g1(ii) + g2(ii)); + gMinus = 1/2*(g1(ii) - g2(ii)); + + w0_ = gvalue2freq(fieldAxis, gPlus); + deltaw_ = gvalue2freq(fieldAxis, gMinus); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + pascalFactor = pascalFactor'/sum(pascalFactor); + else + pascalFactor = 1; + end + + + for itrans = 1:4 + + for ihfi = 1:nHfiLine + w0__ = w0_ + quantNumNuc(ihfi)*APlus(ihfi); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ihfi); + Omega__ = hypot(deltaw__, JJ + dd(ii)/2); + pChar = mean(0.5*(1 + deltaw__./Omega__)); + if itrans == 3 || itrans == 4 + trlwpp = pChar*trlwpp1 + (1. - pChar)*trlwpp2; + else + trlwpp = pChar*trlwpp2 + (1. - pChar)*trlwpp1; + end + wReson = myeigenenergies(w0__, deltaw__, JJ, dd(ii), itrans); + + intensityReson = intensityresonance(rhoInit, nVers(:, ii), deltaw__, JJ, dd(ii), itrans); + signal__ = gaussianresonancebsweep( ... + wReson*1e-3, mwFreq, mt2mhz(trlwpp)*1e-3, "lwpp"); + signal(:, ii) = signal(:, ii) + intensityReson'.*signal__'*pascalFactor(ihfi); + + end + end + end + ySim = averageoversolidangle(signal, nTheta, nPhi, 2); + ySim = real(ySim); +end + + diff --git a/reports/20241018_castleMonthlyUpdates/trEPRsimul_newVsOld.m b/reports/20241018_castleMonthlyUpdates/trEPRsimul_newVsOld.m new file mode 100644 index 0000000..b4eddd2 --- /dev/null +++ b/reports/20241018_castleMonthlyUpdates/trEPRsimul_newVsOld.m @@ -0,0 +1,362 @@ +% +saveFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/reports/20241018_castleMonthlyUpdates"; +load('plotColors.mat') + +FLAG_CALCULATE_INH_BROAD = 1; +FLAG_SAVE_FIG = 1; + +g1 = 2.006; +g2 = 2.002; +bfieldg1 = mhz2mt(9.7, g1)*1e3; +bfieldg2 = mhz2mt(9.7, g2)*1e3; + +d0 = mhz2mt(-10); % mT +J = 0; + +nPoint = 1500; +bWidth = 4.5; % mT + +gInhLwSmall = 0.1; +gInhLwLarge = 1; +trlwppSmall = gInhLwSmall - 0.01; +trlwppLarge = gInhLwLarge - 0.2; + +gInhLw = gInhLwSmall; +% gInhLw = gInhLwLarge; +trlwpp = trlwppSmall; +% trlwpp = trlwppLarge; + +bCenter = 1/2*(bfieldg2 + bfieldg1); +bDiff = 1/2*(bfieldg2 - bfieldg1); + +Omega = hypot(bDiff, (J + d0/2))'; % mT +bMin = bCenter - bWidth/2; +bMax = bCenter + bWidth/2; +xx = linspace(bMin, bMax, nPoint); + +% Find bres1 and bres2 in xx +[~, ires1] = min(abs(xx - bfieldg1)); +[~, ires2] = min(abs(xx - bfieldg2)); + + +fig = figure(1); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +ann1 = "g = " + string(g1); +xann1 = 344.6; +xann2 = 346.25; +yann = -0.1; +text(xann1, yann, ann1, 'FontSize', 14) +ann2 = "g = " + string(g2); +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_01.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 2 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +bres1 = bCenter - (J - d0) - Omega; +bres2 = bCenter + (J - d0) - Omega; +bres3 = bCenter - (J - d0) + Omega; +bres4 = bCenter + (J - d0) + Omega; + +fig = figure(2); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +yline(0, 'HandleVisibility', 'off') +xline([bres1, bres2, bres3, bres4], '--', 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +ax = gca; +axCenter = ax.Position(1) + ax.Position(3)/2; +xOmega = [-1, 1]*Omega/bWidth*ax.Position(3) + axCenter; +xDiff1 = [-1, 1]*d0/bWidth*ax.Position(3) + xOmega(1); +xDiff2 = [-1, 1]*d0/bWidth*ax.Position(3) + xOmega(2); +annotation('doublearrow', xOmega, [.45, .45]) +annotation('doublearrow', xDiff1, [.7, .7]) +annotation('doublearrow', xDiff2, [.7, .7]) + +xlim(setaxlim(xx)) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_02.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 3 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +scale = 0.75; +yspc1 = scale*gaussian(xx, bres1, trlwpp)/max(gaussian(xx, bres1, trlwpp)); +yspc2 = scale*gaussian(xx, bres2, trlwpp)/max(gaussian(xx, bres2, trlwpp)); +yspc3 = scale*gaussian(xx, bres3, trlwpp)/max(gaussian(xx, bres3, trlwpp)); +yspc4 = scale*gaussian(xx, bres4, trlwpp)/max(gaussian(xx, bres4, trlwpp)); +yspc = (yspc1 - yspc2 + yspc3 - yspc4); +fig = figure(3); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(0, 0, 'HandleVisibility', 'off') % Chaotic way to skip one color +plot(xx, yspc1, 'DisplayName', 'Reson. 1') +plot(xx, -yspc2, 'DisplayName', 'Reson. 2') +plot(xx, yspc3, 'DisplayName', 'Reson. 3') +plot(xx, -yspc4, 'DisplayName', 'Reson. 4') +plot(xx, yspc, 'k', 'DisplayName', 'Sum') +% yline(0, 'HandleVisibility', 'off') +xline([bres1, bres2, bres3, bres4], '--', 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_03.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 4 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + scale = 0.75; + +fig = figure(4); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspc, 'k', 'DisplayName', 'Method 1') +% yline(0, 'HandleVisibility', 'off') + +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_04.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 5 AND FIGURE 9 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +bgInh1 = gaussian(xx, bfieldg1, gInhLw); +bgInh1 = bgInh1/max(bgInh1)*0.5; +bgInh2 = gaussian(xx, bfieldg2, gInhLw); +bgInh2 = bgInh2/max(bgInh2)*0.5; + +fig = figure(5); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, bgInh1, '--', 'Color', plotColors(2, :), 'DisplayName', 'g-value distr.') +plot(xx, bgInh2, '--', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +text(xann1, yann, ann1, 'FontSize', 14) +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +if FLAG_SAVE_FIG + if gInhLw == gInhLwSmall + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_05.png"); + exportgraphics(fig, savePath, 'Resolution', 600) + elseif gInhLw == gInhLwLarge + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_09.png"); + exportgraphics(fig, savePath, 'Resolution', 600) + end +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 6 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +iCut = bgInh1 > 0.045; +bgInh1o = bgInh1(iCut); +xx1o = xx(iCut); +iCut = 1:2:numel(xx1o); +bgInh1o = bgInh1o(iCut); +xx1o = xx1o(iCut); +iCut = 1:5:numel(bgInh1o); +bgInh1oPlot = bgInh1o(iCut); +xx1oPlot = xx1o(iCut); + +iCut = bgInh2 > 0.045; +bgInh2o = bgInh2(iCut); +xx2o = xx(iCut); +iCut = 1:2:numel(xx2o); +bgInh2o = bgInh2o(iCut); +xx2o = xx2o(iCut); +iCut = 1:5:numel(bgInh2o); +bgInh2oPlot = bgInh2o(iCut); +xx2oPlot = xx2o(iCut); + +fig = figure(6); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, bgInh1, '--', 'Color', plotColors(2, :), 'DisplayName', 'g-value distr.') +plot(xx, bgInh2, '--', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +plot(xx1oPlot, bgInh1oPlot, 'o', 'Color', plotColors(2, :), 'DisplayName', 'g-value sampling') +plot(xx2oPlot, bgInh2oPlot, 'o', 'Color', plotColors(2, :), 'HandleVisibility', 'off') +yline(0, 'HandleVisibility', 'off') +xline([bfieldg1, bfieldg2], ':', 'HandleVisibility', 'off') + +text(xann1, yann, ann1, 'FontSize', 14) +text(xann2, yann, ann2, 'FontSize', 14) + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') +legend() + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_06.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 7 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +if gInhLw == gInhLwSmall + smallLw = gInhLw/5; +else + smallLw = gInhLw/10; +end +gaussianFac = bgInh1o'*bgInh2o; +if FLAG_CALCULATE_INH_BROAD + yspcInh = zeros(size(yspc)); + for ii = 1:1 + for jj = 1:1 + bCenter_ = 1/2*(xx1o(ii) + xx2o(jj)); + bDiff_ = 1/2*(xx1o(ii) - xx2o(jj)); + + Omega_ = hypot(bDiff_, (J + d0/2))'; % mT + + bres1_ = bCenter_ - (J - d0) - Omega_; + bres2_ = bCenter_ + (J - d0) - Omega_; + bres3_ = bCenter_ - (J - d0) + Omega_; + bres4_ = bCenter_ + (J - d0) + Omega_; + + yspc_ = gaussian(xx, bres1_, smallLw)/max(gaussian(xx, bres1_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres2_, smallLw)/max(gaussian(xx, bres2_, smallLw)); + yspc_ = yspc_ + gaussian(xx, bres3_, smallLw)/max(gaussian(xx, bres3_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres4_, smallLw)/max(gaussian(xx, bres4_, smallLw)); + yspcInh = yspc_*gaussianFac(ii, jj); + + end + end +end + +fig = figure(7); +clf +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspcInh/max(yspcInh)*scale, 'Color', plotColors(2, :)) +xline([bres1_, bres2_, bres3_, bres4_], '--', 'HandleVisibility', 'off') + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 'trEPR intensity / a.u.') + +if gInhLw == gInhLwSmall && FLAG_SAVE_FIG + savePath = fullfile(saveFolder, "trEPRsimul_newVsOld_07.png"); + exportgraphics(fig, savePath, 'Resolution', 600) +end + +%% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% FIGURE 8 AND 10 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +fig = figure(8); + +clf +gaussianFac = bgInh1o'*bgInh2o; +if FLAG_CALCULATE_INH_BROAD + yspcInh = zeros(size(yspc)); + for ii = 1:numel(xx1o) + for jj = 1:numel(xx2o) + bCenter_ = 1/2*(xx1o(ii) + xx2o(jj)); + bDiff_ = 1/2*(xx1o(ii) - xx2o(jj)); + + Omega_ = hypot(bDiff_, (J + d0/2))'; % mT + + bres1_ = bCenter_ - (J - d0) - Omega_; + bres2_ = bCenter_ + (J - d0) - Omega_; + bres3_ = bCenter_ - (J - d0) + Omega_; + bres4_ = bCenter_ + (J - d0) + Omega_; + + yspc_ = gaussian(xx, bres1_, smallLw)/max(gaussian(xx, bres1_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres2_, smallLw)/max(gaussian(xx, bres2_, smallLw)); + yspc_ = yspc_ + gaussian(xx, bres3_, smallLw)/max(gaussian(xx, bres3_, smallLw)); + yspc_ = yspc_ - gaussian(xx, bres4_, smallLw)/max(gaussian(xx, bres4_, smallLw)); + yspcInh = yspcInh+yspc_*gaussianFac(ii, jj); + end + end +end + +plot([xx(ires1), xx(ires2)], [0, 0], 'xk', 'HandleVisibility', 'off') +box on +hold on +plot(xx, yspcInh/max(yspcInh)*scale, 'k', 'DisplayName', 'Method 1') +plot(xx, yspc/max(yspc)*scale, 'Color', plotColors(2, :), 'DisplayName', 'Method 2') + +xlim(setaxlim(xx)) +ylim([-1, 1]) +xticks(343:1:350) +yticks(-1:0.5:1) +labelaxesfig(gca, 'Magnetic field / mT', 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zoSczcvp}~=#jU@d<_<M9Zvl81nPI`@mnEX2qPMr_+gE;CQWbq8XPag5voo{J&u5sd z+RhDC?F!ABKjPER&%3*``1!$R_NjB*jPvg7c=P7Xlqn)rlc6gAH9<O>2f}y8th;pS z(qwgiIs3Xjix(f>>v|@wI438ks;Vk0D=Q#i!X`;@c4uG+fG%oc(A3q{<>lp-ul*8O zUH$v%>FK+7?W(G((u?2srfBE7qbzJ}Y~TxwS=ib6Wv#wc-~WB@#l^*k4;^~p1vTo2 rJ|tT~UBmDp)Vu<6=p9Vt$DIHCp%dnwXS<;h021?b^>bP0l+XkKl-o8V literal 0 HcmV?d00001 diff --git a/util/averageoversolidangle.m b/util/averageoversolidangle.m index 8562386..f54ea0c 100644 --- a/util/averageoversolidangle.m +++ b/util/averageoversolidangle.m @@ -1,4 +1,10 @@ function outV = averageoversolidangle(inV, nTheta, nPhi, dim) +arguments + inV + nTheta + nPhi + dim +end [thetas, ~] = createthetaphigrid(nTheta, nPhi); diff --git a/util/averageoversolidanglemask.m b/util/averageoversolidanglemask.m new file mode 100755 index 0000000..312d4b1 --- /dev/null +++ b/util/averageoversolidanglemask.m @@ -0,0 +1,73 @@ +function outV = averageoversolidanglemask(inV, nTheta, nPhi, dim, mask) +arguments + inV + nTheta + nPhi + dim + mask = [] +end + +mask = checkparams(inV, nTheta, nPhi, dim, mask); +sizeV = size(inV); +[thetas, ~] = createthetaphigrid(nTheta, nPhi); + +if numel(dim) == 1 + % Put dim as first dimension + idxNonAvg = [1:(dim - 1), (dim + 1):numel(sizeV)]; + inV = permute(inV, [dim, idxNonAvg]); % Size is (nTheta*nPhi, ...) + + % Create logical mask + logicMask = zeros(1, nTheta*nPhi); + logicMask(mask) = 1; + logicMask = boolean(logicMask); + + % Create weight + thetas = repmat(thetas, [nPhi, 1]); + weight = sin(thetas); % Size is (nTheta*nPhi, 1) + weight = weight(logicMask)/sum(weight(logicMask)); + + % Average + outV = sum(weight.*inV(logicMask, :), 1); + + % Reshape + if numel(size(outV)) > 2 + outV = reshape(outV, sizeV(idxNonAvg)); + end +else +% weight = sin(thetas)/sum(sin(thetas)*ones(1, nPhi), 'all'); +% +% weight = reshape(weight, [ones(1, min(dim(1) - 1, 1)), nTheta]); +% outV = sum(weight(mask).*inV(mask), dim); +% outV = squeeze(outV); + error('Still needs to be implemented') +end +end + +function mask = checkparams(inV, nTheta, nPhi, dim, mask) + +% Check numel(dim) +switch numel(dim) + case 1 + if size(inV, dim) ~= nTheta*nPhi + error("size(inV, dim) must equal nTheta*nPhi.") + end + case 2 + if size(inV, dim(1)) ~= nTheta + error("size(inV, dim(1)) must equal nTheta.") + elseif size(inV, dim(2)) ~= nPhi + error("size(inV, dim(2)) must equal nPhi.") + end + otherwise + error("numel(dim) must be equal to 1 or 2.") +end + +% Check mask +if isempty(mask) + if numel(dim) == 1 + mask = boolean(ones(1, nTheta*nPhi)); + else + mask = boolean(ones(nTheta, nPhi)); + end +end + +end \ No newline at end of file diff --git a/util/gaussianresonancebsweep.m b/util/gaussianresonancebsweep.m index 43a73da..e242575 100755 --- a/util/gaussianresonancebsweep.m +++ b/util/gaussianresonancebsweep.m @@ -2,7 +2,7 @@ function y1 = gaussianresonancebsweep(wReson, mwFreq, c, mode) arguments wReson mwFreq - c (1, 1) double + c mode string = "lwpp" end diff --git a/util/intensityresonance.m b/util/intensityresonance.m new file mode 100644 index 0000000..7f3bb43 --- /dev/null +++ b/util/intensityresonance.m @@ -0,0 +1,98 @@ +function intensityResonance = intensityresonance(rhoInit, nVers, deltaw, J, d, itrans) + + % Rotate rhoInit depending on theta, phi + rho0 = rotatezfirstysecond(rhoInit, nVers); + + % rho should be in the product basis + rho1 = rotateproduct2coupled(rho0); + % rho0 = rhoInit; + + alpha = 1/2*atan(deltaw./(J + d/2)); + + transProb = [sin(alpha).^2/2; ... % 1 to 2 + cos(alpha).^2/2; ... ss % 3 to 4 + cos(alpha).^2/2; ... % 1 to 3 + sin(alpha).^2/2]; % 2 to 4 + + UMatrix = diagonalizingmatrix(alpha); + rho = pagemtimes(UMatrix, pagemtimes(rho1, pagetranspose(UMatrix))); + populs = mydiag3d(rho); + populDiff = [populs(1, :) - populs(2, :); ... + populs(3, :) - populs(4, :); ... + populs(1, :) - populs(3, :); ... + populs(2, :) - populs(4, :)]; + + if abs(nVers(3)) < 0.1 && itrans == 1 +% nVers +% rho0 +% rho1 +% trace(rho(:, :, 1)) +% populDiff(:, 1) + end + intensityResonance = -populDiff(itrans, :).*transProb(itrans, :); +end + +function rho = rotatezfirstysecond(rhoInit, nVers) + + theta = atan(hypot(nVers(1), nVers(2))/nVers(3)); + phi = atan(nVers(2)/nVers(1)); + + szapszb = 1/2*diag([1, 0, 0, -1]); + + %%%%%%%%%%%%%%%%%%%%%%%%%% + % syapsyb = + % 0 -i/2 -i/2 0 + % i/2 0 0 -i/2 + % i/2 0 0 -i/2 + % 0 i/2 i/2 0 + %%%%%%%%%%%%%%%%%%%%%%%%%%%%% + syapsyb = zeros(4, 4); + syapsyb(1, 2:3) = [-1, -1]; + syapsyb(2, [1, 4]) = [1, -1]; + syapsyb(3, [1, 4]) = [1, -1]; + syapsyb(4, 2:3) = [1, 1]; + syapsyb = syapsyb*1i/2; + + rotz = expm(1i*szapszb*(-phi)); % Rot 1: around z of minus phi (phi!) + rotzT = expm(-1i*szapszb*(-phi)); + roty = expm(1i*syapsyb*(-theta)); % Rot 2: around y of minus theta + rotyT = expm(-1i*syapsyb*(-theta)); + + rho = rotzT*rhoInit*rotz; + rho = rotyT*rho*roty; + +end + +function rho = rotateproduct2coupled(rhoInit) + % Transform rho to the T+, S, T0, T- basis + rotProd2Coupled = diag([1, 1/sqrt(2), 1/sqrt(2), 1]); + rotProd2Coupled(2, 3) = 1/sqrt(2); + rotProd2Coupled(3, 2) = -1/sqrt(2); + + rho = rotProd2Coupled'*rhoInit*rotProd2Coupled; +end + +function U = diagonalizingmatrix(alpha) + + % U = [1 0 0 0; + % 0 cos(alpha) sin(alpha) 0; + % 0 -sin(alpha) cos(alpha) 0; + % 0 0 0 1]; + + U = zeros(4, 4, numel(alpha)); + U(1, 1, :) = 1; + U(2, 2, :) = cos(alpha); + U(2, 3, :) = sin(alpha); + U(3, 2, :) = -sin(alpha); + U(3, 3, :) = cos(alpha); + U(4, 4, :) = 1; + +end + +function diag = mydiag3d(matr) + + diag = squeeze(matr(1, :, :)); + for ii = 1:4 % 4 = first and second dimension of matr + diag(ii, :) = matr(ii, ii, :); + end +end \ No newline at end of file diff --git a/util/myeigenenergies.m b/util/myeigenenergies.m new file mode 100644 index 0000000..e85383e --- /dev/null +++ b/util/myeigenenergies.m @@ -0,0 +1,9 @@ +function energ = myeigenenergies(w0, deltaw, J, d, itrans) + + signJmd = [-1, 1, -1, 1]; + signOmega = [-1, -1, 1, 1]; + + Omega = hypot(deltaw, J + d/2); + energ = w0 + signJmd(itrans)*(J - d) + signOmega(itrans)*Omega; +end + diff --git a/zech_dPSItrEPR_gInhBroadeningVsUsual.m b/zech_dPSItrEPR_gInhBroadeningVsUsual.m new file mode 100644 index 0000000..6bd33ac --- /dev/null +++ b/zech_dPSItrEPR_gInhBroadeningVsUsual.m @@ -0,0 +1,278 @@ +% +clearvars + +%% Easyspin simulation + +% Taken from Easyspin example +Sys.S = [1/2 1/2]; +Sys.g = [2.00308 2.00264 2.00226; ... % P700+ + 2.00622 2.00507 2.00218]; % A1- +Sys.gFrame = [-10 -128 -83; ... + 0 0 0]*pi/180; +Sys.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- + +Sys.J = (-1/2)*unitconvert(1e-3,'mT->MHz'); % MHz +Sys.dip = unitconvert(0.170,'mT->MHz')/1.5; % MHz +Sys.initState = 'singlet'; + +fieldAxis = linspace(343.635, 347.635, 301); % GHz +mwFreq = 9.7; % GHz + +Opt.GridSize = [91 0]; +Opt.GridSymmetry = ''; + +% Field sweep +Exp.CenterSweep = [mean(fieldAxis), max(fieldAxis) - min(fieldAxis)]; +Exp.mwFreq = mwFreq; +Exp.Harmonic = 0; +Exp.nPoints = numel(fieldAxis); + +Sys.lwpp = 0.35; % mT + +ySim = pepper(Sys, Exp, Opt); +ySim = ySim/max(abs(ySim)); + +clf +plot(fieldAxis, ySim) + +%% + +% pathFolder = "/net/storage/gianlum33/"; +pathFolder = "S:\"; +pathFolder = pathFolder + "projects/oop_ciss_calculations/data/digitized/"; +pathX = pathFolder + "expData_zech_aStructuralModelFor_xBandDeut.mat"; +pathQ = pathFolder + "expData_zech_aStructuralModelFor_qBandDeut.mat"; +pathW = pathFolder + "expData_zech_aStructuralModelFor_wBandDeut.mat"; + +importedData = load(pathX); +xdataXdeut = importedData.x; +ydataXdeut = importedData.y; +ydataXdeut = ydataXdeut - (ydataXdeut(1) + ydataXdeut(end))/2; +importedData = load(pathQ); +xdataQdeut = importedData.x; +ydataQdeut = importedData.y; +ydataQdeut = ydataQdeut - (ydataQdeut(1) + ydataQdeut(end))/2; +importedData = load(pathW); +xdataWdeut = importedData.x; +ydataWdeut = importedData.y; + +importedData = load('S:\projects\zech_psi\data\processed\ZePSI-E-007015.mat'); +% clf +% h = ScrollableAxes(); +% plot(h, x{2}, x{1}, y'); +xdataX = importedData.x{2}'/10; % mT +ydataX = importedData.y(815, :); +ydataX = ydataX/max(abs(ydataX)); +pathQ2 = pathFolder + "expData_zech_aStructuralModelFor_qBand.mat"; +importedData = load(pathQ2); +xdataQ = importedData.x; +ydataQ = importedData.y; + +%% My powder average (only for equivalent nuclei) + +mySys.g = Sys.g; +mySys.gFrame = Sys.gFrame; +mySys.dip = mt2mhz(-0.170); % MHz +mySys.J = mt2mhz(1e-3); % MHz +mySys.eeFrame = Sys.eeFrame; +mySys.nNuc = 0; +mySys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz +mySys.AFrame = [0 0 0 60 -90 0]*pi/180; +mySys.lw1 = 0.3; % mT +% mySys.lw1 = 0.7499; % mT +% mySys.lw2 = 0.25; % mT +mySys.lw2 = 0.3; % mT + +% FitOpt.maxTime = 0.1; +FitOpt.TolFun = 1e-4; +FitOpt.TolEdgeLength = 1e-4; +FitOpt.CalculateUncertainties = 0; +FitOpt.Method = 'levmar'; +FitOpt.Gradient = 1e-3; +FitOpt.AutoScale = 'lsq'; + +Vary.lw1 = mySys.lw1 - 0.005; +Vary.lw2 = mySys.lw2 - 0.005; +Vary.xshift = 0.1; + +ydata = {ydataXdeut, ydataQdeut, ydataWdeut}; +mySys.mwFreq_MF = {9.7, 34, 94.11}; + % xdataX + 5.5, xdataQ, xdataW + 3.5 +mySys.xshift = -0.0245; +mySys.x_MF = {xdataXdeut - 1, xdataQdeut, xdataWdeut + 0.}; +mySys.nTheta_MF = {40, 20, 50}; % {40, 40, 20}; %, 50}; +mySys.nPhi_MF = {20, 10, 30}; % {20, 20, 20}; %, 20}; +mySys.nSamplegInh1_MF = {40, 20, 20}; +mySys.nSamplegInh2_MF = {40, 20, 20}; +mySys.coeffResLw_MF = {0.05, 0.1, 0.1}; + +nSim = 15; +xshifts = linspace(-0.04, 0.04, nSim); +wb = waitbar(0, 'Simulting'); +ydata = {ydataXdeut}; +for ii = 1 + waitbar(ii/nSim, wb, ... + "Simulation " + string(ii) + " out of " + string(nSim) + "...") + mySys.xshift = -0.0245; + tic + ySim = mytreprmf(mySys); + Fit = esfit(ydata, @mytreprmf, {mySys}, {Vary}, FitOpt); + toc + + figure() + clf + tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') + for ifig = 1 + x_ = mySys.x_MF{ifig}; + nexttile + plot(x_, ydata{ifig}) + hold on + plot(x_ + mySys.xshift, Fit.fit) + plot(x_ + mySys.xshift, rescaledata(ySim{ifig}, ydata{ifig}, 'lsq')) +% xlim(setaxlim(mySys.x_MF{ii})) +% xlim(setaxlim(1:numel(ydata{ii}))) +% ylim(setaxlim(ydata{ii}, 1.05)) + title(string(xshifts(ii)) + " : " + ... + string(Fit.pfit(1)) + " " + string(Fit.pfit(2))) + + end +end +close(wb); clear('wbar') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(1))*1e3, 'r') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(3))*1e3, 'r') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(5))*1e3, 'r') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(2))*1e3, 'b') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(4))*1e3, 'b') +% xline(mhz2mt(mySys.mwFreq_MF{3}, mySys.g(6))*1e3, 'b') +% tic +% ydata = {yX, yQ, yW}; +% Fit = esfit(ydata, @mytreprmf, {mySys}, {Vary}, FitOpt); + +%% +ySim0 = mytreprmf(mySys); +%% + +function data = mytreprmf(Sys) + + nSpc = numel(Sys.mwFreq_MF); + fields = fieldnames(Sys); + for ispc = 1 + for ifield = 1:numel(fields) + f = fields{ifield}; + if endsWith(f, '_MF') + f_ = f(1:end - 3); + Sys.(f_) = Sys.(f){ispc}; + end + end + data{ispc} = mytrepr(Sys); + end +end + +% function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys) +function ySim = mytrepr(Sys) + fieldAxis = Sys.x + Sys.xshift; + Bmean = mean(fieldAxis); + dip = Sys.dip; + JJ = Sys.J; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Parameters for g broadening + lw1 = mt2mhz(Sys.lw1); + lw2 = mt2mhz(Sys.lw2); + % The g-factor linewidth + glw1 = freq2gvalue(Bmean, lw1); + glw2 = freq2gvalue(Bmean, lw2); + % Spacing between g-values + dgax1 = glw1 / Sys.nSamplegInh1; + dgax2 = glw2 / Sys.nSamplegInh2; + resLw = min(lw1, lw2)*Sys.coeffResLw*1e-3; % GHz + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + nSolidAngle = nTheta*nPhi; + + % Direction of B0 + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + ySim = zeros(numel(fieldAxis), 1); + parfor ii = 1:nSolidAngle + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + + [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); + [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); + ngax1 = numel(gax1); + ngax2 = numel(gax2); + + gaussianFactor = gInh1'*gInh2; + gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); + gaussianFactor = gaussianFactor(:)'; + + gPlus = 1/2*(repmat(gax1', [1, ngax2]) + repmat(gax2, [ngax1, 1])); + gPlus = gPlus(:)'; + gMinus = 1/2*(repmat(gax1', [1, ngax2]) - repmat(gax2, [ngax1, 1])); + gMinus = gMinus(:)'; + %} + + w0_ = gvalue2freq(fieldAxis', gPlus); + deltaw_ = gvalue2freq(fieldAxis', gMinus); + sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); + + quantNumNuc = -nNuc/2:1:nNuc/2; + signJmd = [-1, 1, -1, 1]; + signOmega = [-1, -1, 1, 1]; + signIntens = [1, -1, 1, -1]; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + else + pascalFactor = 1; + end + + for itrans = 1:4 + for ihfi = 1:nHfiLine + w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); + Omega__ = hypot(deltaw__, JJ+dd(ii)/2); + wReson = w0__ + signJmd(itrans)*(JJ - dd(ii)) + ... + signOmega(itrans)*Omega__; + + intensityReson = signIntens(itrans)*1/8*... + (deltaw__.^2)./(Omega__.^2); + trSignal__ = gaussianresonancebsweep(... + wReson*1e-3, mwFreq, resLw, "lwpp"); + trSignal__ = intensityReson.*trSignal__*... + pascalFactor(ihfi).*gaussianFactor; + ySim = ySim + sum(trSignal__, 2)*sintheta_; + end + end + %} + end + %} +% ySim = ySim/max(abs(ySim)); + +end diff --git a/zech_gBroadening_leastSquareFit.m b/zech_gBroadening_leastSquareFit.m index 92b4f22..9a33fbb 100755 --- a/zech_gBroadening_leastSquareFit.m +++ b/zech_gBroadening_leastSquareFit.m @@ -1,7 +1,6 @@ % clearvars -addpath(genpath('S:\soft\matlab\')) -addpath(genpath('/net/storage/gianlum33/soft/matlab/')) + addpath('S:\projects\oop_ciss_calculations\util\') %% Easyspin simulation diff --git a/zech_psiOopEseem_powderAverage_inhBroadening.m b/zech_psiOopEseem_powderAverage_inhBroadening.m index 91557d4..f3d69ae 100755 --- a/zech_psiOopEseem_powderAverage_inhBroadening.m +++ b/zech_psiOopEseem_powderAverage_inhBroadening.m @@ -1,7 +1,5 @@ % clearvars -addpath(genpath('S:\soft\matlab\')) -addpath(genpath('/net/storage/gianlum33/soft/matlab/')) addpath(genpath('/net/storage/gianlum33/projects/oop_ciss_calculations/util/')) addpath(genpath('S:\projects/oop_ciss_calculations/util/')) @@ -15,9 +13,12 @@ fitName = 'data/digitized/zech_p46_oopEseem_fit.csv'; importedData = readtable(expName); x = importedData{:, 1}*pi/180; y = importedData{:, 2}; +y = rescaledata(y, 'maxabs'); + importedData = readtable(fitName); xx = importedData{:, 1}*pi/180; yy = importedData{:, 2}; +yy = rescaledata(yy, 'maxabs'); crystalEseemZech = @(p, beta) -( ... 0.5*sin(2*beta) .* sin(2*p).^4 + ... @@ -32,9 +33,9 @@ p0B = pi/2 - 2*p0Z; % xi_Bittl = pi/2 - 2*alpha_Zech initFit2 = rescaledata(crystalEseem(p0B, xx), 'maxabs'); clf -plot(x*180/pi, rescaledata(y, 'maxabs'), 'o-') +plot(x*180/pi, y, 'o-') hold on -plot(xx*180/pi, rescaledata(yy, 'maxabs')) +plot(xx*180/pi, yy) plot(xx*180/pi, initFit) plot(xx*180/pi, initFit2) plot(xx*180/pi, expectFit) @@ -49,14 +50,6 @@ Sys0.gFrame = [-10 -128 -83; ... 0 0 0]*pi/180; Sys0.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- -% tau = 0.; % us - -% Assume finite bandwidth of the excitation pulse -% pulseBw = 0.5e-3; % T -% gPulseBw = planck*mwFreq/bmagn*(pulseBw/B0/B0); -% gPulsePosition = planck*mwFreq/bmagn/B0; -% excitRange = [-1/2, +1/2]*gPulseBw + gPulsePosition; - Sys.g = Sys0.g; Sys.gFrame = Sys0.gFrame; Sys.dip = mt2mhz(-0.170); % MHz @@ -68,7 +61,7 @@ Sys.AFrame = [0 0 0 60 -90 0]*pi/180; Sys.mwFreq = 9.7; Sys.x = linspace(344.5, 347, 301); % mT -Sys.turningAngleAxis = xx; +Sys.firstPulseTurningAngles = xx; Sys.nTheta = 90; %, 50}; Sys.nPhi = 45; %, 20}; Sys.lw1 = 0.5; % mT @@ -78,260 +71,230 @@ Sys.nSamplegInh2 = 100; %% -[a0, b0] = oopEseemVsBeta(Sys, 0); -tic -[a1, b1] = oopEseemVsBeta(Sys, 1); -toc +[a0, b0] = oopeseemvsbeta(Sys, 0); tic -[a2, b2] = oopEseemVsBeta(Sys, 2); +[a2, b2] = oopeseemvsbeta(Sys, 1); toc %% aa0 = averageoversolidangle(a0, Sys.nTheta, Sys.nPhi, 2); aa1 = averageoversolidangle(a1, Sys.nTheta, Sys.nPhi, 2); -aa2 = averageoversolidangle(a2, Sys.nTheta, Sys.nPhi, 2); +% aa2 = averageoversolidangle(a2, Sys.nTheta, Sys.nPhi, 2); bb0 = averageoversolidangle(abs(b0), Sys.nTheta, Sys.nPhi, 2); bb1 = averageoversolidangle(abs(b1), Sys.nTheta, Sys.nPhi, 2); -bb2 = averageoversolidangle(abs(b2), Sys.nTheta, Sys.nPhi, 2); +% bb2 = averageoversolidangle(abs(b2), Sys.nTheta, Sys.nPhi, 2); % sum(abs(a1(:) - a2(:))) % sum(abs(b1 - b2)) clf plot(xx*180/pi, rescaledata(aa0, 'maxabs')) hold on plot(xx*180/pi, rescaledata(aa1, 'maxabs'), 'o') -plot(xx*180/pi, rescaledata(aa2, 'maxabs'), 'x') +% plot(xx*180/pi, rescaledata(aa2, 'maxabs'), 'x') disp("xiMean0 = " + string(bb0*180/pi) + newline + ... - "xiMean1 = " + string(bb1*180/pi) + newline + ... - "xiMean2 = " + string(bb2*180/pi)) + "xiMean1 = " + string(bb1*180/pi) + newline);% + ... +% "xiMean2 = " + string(bb2*180/pi)) %% -xplot = linspace(0, 13, 1000); -% tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') -% nexxtile - -clf -plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(1))), 'o') -hold on -plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(2))), 'o') -% plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(3))), 'o') -% plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(4))), 'o') -clf -disp("nTheta = " + string(Sys.nTheta)) -for ith = 3 %1:Sys.nTheta - plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(ith)))*180/pi, 'o') - hold on - switch ith - case 1 - color = 'k'; - case 2 - color = 'b'; - end - for ihfi = 1:(Sys.nNuc + 1) - switch ihfi - case 1 - lstyle = '--'; - case 2 - lstyle = '-'; - case 3 - lstyle = '-.'; - end - xline(abs(domeg(ith, ihfi)), ... - 'Color', color, 'LineStyle', lstyle) - yline(abs(mixinganglexi(domeg(ith, ihfi), Sys.J, ddd(ith)))*180/pi, ... - 'Color', color, 'LineStyle', lstyle) - end - disp("xi central = " + string(xiii(ith, 2)*180/pi) + ... - ", xi mean = " + string(mean(abs(xiii(ith, :)))*180/pi)) +wb = waitbar(0, 'Hi', 'Name', string(datetime)); +nSim = 1001; +Sys.nTheta = 40; +Sys.nPhi = 20; +samplings = linspace(10, 1000, nSim); +samplings = round(samplings); +tic +clear oop xi oopPowder xiPlot +xiMean = zeros(1, nSim); +for isim = 1:nSim + waitbar(isim/nSim, wb, sprintf('%d out of %d', isim, nSim)) + Sys.nSamplegInh1 = samplings(isim); + Sys.nSamplegInh2 = samplings(isim); + [oop{isim}, xi{isim}] = oopeseemvsbeta(Sys); + xiMean(isim) = averageoversolidangle(... + abs(xi{isim}), Sys.nTheta, Sys.nPhi, 2); + oopPowder{isim} = averageoversolidangle(... + oop{isim}, Sys.nTheta, Sys.nPhi, 2); + xiPlot{isim} = reshape(xi{isim}, [Sys.nTheta, Sys.nPhi])*180/pi; +% if isim == 1 % Pre-allocation +% oop = repmat(oop, 1, nSim); +% xi = repmat(xi, 1, nSim); +% oopPowder = repmat(oopPowder, 1, nSim); +% xiPlot = repmat(xiPlot, 1, nSim); +% end end +toc +delete(wb); clear('wb'); -% Sys.nNuc = 0; -% [oopNoLw, xiNoLw] = oopEseemVsBeta(Sys); -% xiMeanNoLw = averageoversolidangle(abs(xiNoLw), Sys.nTheta, Sys.nPhi, 2); -% oopPowderNoLw = averageoversolidangle(oopNoLw, Sys.nTheta, Sys.nPhi, 2); -% xiNoLwPlot = reshape(xiNoLw, [Sys.nTheta, Sys.nPhi])*180/pi; - %% -Sys.lw1 = 0.01; % mT -Sys.lw2 = 0.01; % mT -Sys.nSamplegInh1 = 10; -Sys.nSamplegInh2 = 10; -Sys.nTheta = 3; -Sys.nPhi = 1; -Sys.nNuc = 0; -[sigsig, xixi] = oopEseemVsBeta(Sys, true); +clf +plot(x*180/pi, y, 'o-') +% plot(nThetas, xiMeana*180/pi, 'o') +hold on +plot(samplings, xiMean*180/pi, 'o') +clf +plot(xx*180/pi, oopPowder{1} - oopPowder{end}) +hold on %% -Sys.nTheta = 90; -Sys.nPhi = 45; -wb = waitbar(0, 'Hi'); -nnNuc = 2000; -nNucs = 1:nnNuc; -for inNuc = 1:nnNuc - waitbar(inNuc/nnNuc, wb, sprintf('%d out of %d', inNuc, nnNuc)) - Sys.nNuc = nNucs(inNuc); - [oopNoLwa{inNuc}, xiNoLwa{inNuc}] = oopEseemVsBeta(Sys); - xiMeanNoLwa(inNuc) = averageoversolidangle(abs(xiNoLwa{inNuc}), Sys.nTheta, Sys.nPhi, 2); - oopPowderNoLwa{inNuc} = averageoversolidangle(oopNoLwa{inNuc}, Sys.nTheta, Sys.nPhi, 2); - xiNoLwPlota{inNuc} = reshape(xiNoLwa{inNuc}, [Sys.nTheta, Sys.nPhi])*180/pi; -end +% tau = 0.; % us -%% +% Assume finite bandwidth of the excitation pulse +pulseBw = 0.50; % mT +pulseFieldPosition = 346.1; % mean(Sys.x); +Sys.excitRange = [-1/2, +1/2]*pulseBw + pulseFieldPosition; + +Sys.nTheta = 40; +Sys.nPhi = 30; +[oop, xixi, g1, g2, idxAngle, idxAngle1, idxAngle2] = oopeseemvsbeta(Sys, 0, 1); -xplot = [0, nNucs(1:222)]; -yplot = [xiMeanNoLw, xiMeanNoLwa]; +figure(1) +g1 = reshape(g1, [Sys.nTheta, Sys.nPhi]); clf -plot(xplot, yplot) +imagesc(g1) +colorbar +colormap(viridis()) +hold on +for ii = 1:numel(idxAngle1) + [xSquare, ySquare] = drawsquaresexcitrange(idxAngle1(ii), Sys.nTheta); + plot(xSquare, ySquare, 'k', 'LineWidth', 2) +end +for ii = 1:numel(idxAngle) + [xSquare, ySquare] = drawsquaresexcitrange(idxAngle(ii), Sys.nTheta); + plot(xSquare, ySquare, 'r', 'LineWidth', 2, 'LineStyle', '--') +end figure(2) -tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') -for ii = 1:9 - nexttile - if ii == 1 - imagesc(abs(xiNoLwPlot)) - colorbar - colormap(viridis()) - else - imagesc(abs(xiNoLwPlota{ii})) - colorbar - colormap(viridis()) - end - title(ii - 1) +g2 = reshape(g2, [Sys.nTheta, Sys.nPhi]); +clf +imagesc(g2) +colorbar +colormap(viridis()) +hold on +for ii = 1:numel(idxAngle2) + [xSquare, ySquare] = drawsquaresexcitrange(idxAngle2(ii), Sys.nTheta); + plot(xSquare, ySquare, 'k', 'LineWidth', 2) +end +for ii = 1:numel(idxAngle) + [xSquare, ySquare] = drawsquaresexcitrange(idxAngle(ii), Sys.nTheta); + plot(xSquare, ySquare, 'r', 'LineWidth', 2, 'LineStyle', '--') end -%% - -cmappa = viridis(10); figure(3) clf -plot(xx*180/pi, rescaledata(oopPowderNoLw, 'maxabs'), 'o', 'DisplayName', '0') +xixiplot = reshape(abs(xixi), [Sys.nTheta, Sys.nPhi]); +imagesc(xixiplot) +colorbar +colormap(viridis()) hold on -imap = 0; -for ii = 101:110 - imap = imap + 1; - if mod(ii, 2) - plot(xx*180/pi, rescaledata(oopPowderNoLwa{ii}, 'maxabs'), ... - 'DisplayName', string(ii), 'Color', cmappa(imap, :)) - else - plot(xx*180/pi, rescaledata(oopPowderNoLwa{ii}, 'maxabs'), '--', ... - 'DisplayName', string(ii), 'Color', cmappa(imap, :)) - end +for ii = 1:numel(idxAngle) + [xSquare, ySquare] = drawsquaresexcitrange(idxAngle(ii), Sys.nTheta); + plot(xSquare, ySquare, 'r', 'LineWidth', 2, 'LineStyle', '--') end -legend() %% -% clf -% tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') -% nexttile -% imagesc(abs(xiNoLwPlot)) -% colorbar -% colormap(viridis()) -% nexttile -% imagesc(abs(xiNoLwPlot2)) -% colorbar -% colormap(viridis()) +xiMeanInfBw = averageoversolidanglemask(abs(xixi), Sys.nTheta, Sys.nPhi, 2, []); +xiMeanBw = averageoversolidanglemask(abs(xixi), Sys.nTheta, Sys.nPhi, 2, idxAngle); -% g inh broadening -Sys.nNuc = 0; -Sys.lw1 = 0.35; % mT -Sys.lw2 = 0.35; % mT -Sys.nSamplegInh1 = 10; -Sys.nSamplegInh2 = 10; +oopInfBw = averageoversolidanglemask(oop, Sys.nTheta, Sys.nPhi, 2, []); +oopBw = averageoversolidanglemask(oop, Sys.nTheta, Sys.nPhi, 2, idxAngle); +figure(4) clf -plot(x*180/pi, rescaledata(y, 'maxabs'), 'o-') +plot(x*180/pi, y, 'o') hold on -plot(xx*180/pi, rescaledata(yy, 'maxabs')) -plot(xx*180/pi, initFit) -plot(xx*180/pi, initFit2) -plot(xx*180/pi, expectFit) -plot(xx*180/pi, rescaledata(oopPowderNoLw, 'maxabs'), 'o') -plot(xx*180/pi, rescaledata(oopPowderNoLw1, 'maxabs'), 'x') -plot(xx*180/pi, rescaledata(oopPowderNoLw2, 'maxabs'), 'Marker', '+', 'LineStyle', 'none') -plot(xx*180/pi, rescaledata(oopPowderNoLw3, 'maxabs'), 'Marker','square', 'LineStyle', 'none') +plot(xx*180/pi, yy, '--') +plot(xx*180/pi, rescaledata(oopInfBw, 'maxabs')) +plot(xx*180/pi, rescaledata(oopBw, 'maxabs')) +yline(0, 'Color', 'yellow') +xline(90, 'Color', 'yellow') + +yyInterp = interp1(xx, yy, x); +oopInterp = interp1(xx, rescaledata(oopBw, 'maxabs'), x); +plot(x*180/pi, yyInterp, 'x') +plot(x*180/pi, oopInterp, 'x') +rmsdZech = sum( (y - yyInterp).^2)/numel(y); +rmsdMe = sum( (y - oopInterp).^2)/numel(y); %% -xplot = nNucs(20:548); -yplot = xiMeanNoLwa(20:548); -model = @(p, x) p(1)*exp(-(x/p(2)).^p(3)) + p(4); -model2 = @(p, x) p(1)*(1./x).^p(2) + p(3); -p0 = [0.1, 20, 0.5, 0.02]; -p02 = [0.1, 0.95, 0.02]; +pulseBw = 10; % mT +pulseFieldPosition = 346.1; % mean(Sys.x); +Sys.excitRange = [-1/2, +1/2]*pulseBw + pulseFieldPosition; +gExcitRange = planck*Sys.mwFreq/bmagn./Sys.excitRange*1e12; +gExcitRange = flip(gExcitRange); -pfit = nlinfit(xplot, yplot, model, p0); -pfit2 = nlinfit(xplot, yplot, model2, p02); -clf -plot(xplot, yplot) -hold on -plot(xplot, model(pfit, xplot)) -yyaxis right -plot(xplot, yplot - model(pfit, xplot)) -yline(0) - -%% - -Sys.nTheta = 2; -Sys.nPhi = 1; -Sys.nSamplegInh1 = 100; -Sys.nSamplegInh2 = 100; -Sys.nNuc = 0; -[g1, y1, g2, y2, gmi, savexi, gfac, xiMultiplicity] = oopEseemVsBeta(Sys, 1); +Sys.nTheta = 40; +Sys.nPhi = 30; +tic +[oopNoLw, xiNoLw, ~] = oopeseemvsbeta(Sys, 0, 0); +toc +tic +[oopLw, xiLw, ~] = oopeseemvsbeta(Sys, 1, 0); +toc +tic +[oopBw, xiBw, idxAngle0] = oopeseemvsbeta(Sys, 0, 1); +toc +tic +[oopLwBw, xiLwBw, ~] = oopeseemvsbeta(Sys, 1, 1); +toc +xiMeanNoLw = averageoversolidanglemask(abs(xiNoLw), Sys.nTheta, Sys.nPhi, 2, []); +xiMeanLw = averageoversolidanglemask(abs(xiLw), Sys.nTheta, Sys.nPhi, 2, []); +xiMeanBw = averageoversolidanglemask(abs(xiBw), Sys.nTheta, Sys.nPhi, 2, idxAngle0); +xiMeanLwBw = averageoversolidanglemask(abs(xiLwBw), Sys.nTheta, Sys.nPhi, 2, []); +oopPowderNoLw = averageoversolidanglemask(oopNoLw, Sys.nTheta, Sys.nPhi, 2, []); +oopPowderLw = averageoversolidanglemask(oopBw, Sys.nTheta, Sys.nPhi, 2, idxAngle); +oopPowderBw = averageoversolidanglemask(oopLw, Sys.nTheta, Sys.nPhi, 2, []); +oopPowderLwBw = averageoversolidanglemask(oopLwBw, Sys.nTheta, Sys.nPhi, 2, idxAngle); + +xiNoLw = reshape(xiNoLw, [Sys.nTheta, Sys.nPhi]); +xiBw = reshape(xiBw, [Sys.nTheta, Sys.nPhi]); +xiLw = reshape(xiLw, [Sys.nTheta, Sys.nPhi]); +xiLwBw = reshape(xiLwBw, [Sys.nTheta, Sys.nPhi]); figure(1) -clf -tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +tiledlayout(2, 2, 'TileSpacing', 'compact', 'Padding', 'compact') nexttile -plot(g1, y1, 'o', g2, y2, 'o') -nexttile -imagesc(y1'*y2/sum(y1'*y2, 'all')) -colorbar -colormap(gca, viridis()) -nexttile -imagesc(gmi) -colorbar -colormap(gca, crameri('vik', 'pivot', 0)) -nexttile -xiplot = reshape(savexi, [1 + 2*Sys.nSamplegInh1, 1 + 2*Sys.nSamplegInh2]); -imagesc(xiplot) -colorbar -colormap(gca, crameri('vik', 'pivot', 0)) - -sum(abs(savexi.*gfac), 'all') - -[g1, y1, g2, y2, gmi, savexi, gfac, xiMultiplicity] = oopEseemVsBeta(Sys, 2); - -figure(2) -clf -tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') -nexttile -plot(g1, y1, 'o', g2, y2, 'o') +imagesc(abs(xiNoLw)); colorbar; colormap(viridis()) +title('xiNoLw') nexttile -imagesc(y1'*y2/sum(y1'*y2, 'all')) -colorbar -colormap(gca, viridis()) +imagesc(abs(xiBw)); colorbar; colormap(viridis()) +title('xiBw') nexttile -plot(gmi) +imagesc(abs(xiLw)); colorbar; colormap(viridis()) +title('xiLw') nexttile -plot(gmi, savexi, 'o') - -sum(abs(savexi.*xiMultiplicity)) +imagesc(abs(xiLwBw)); colorbar; colormap(viridis()) +title('xiBwLw') %% + % function [gax1, gInh1, gax2, gInh2, gMinusAx, savexi, gaussianFactor, xiMultiplicity] = oopEseemVsBeta(Sys, isInhBroadening) -function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) +% function [signal, xi, gax1, gax2, spinPairInRange, gaussianFactor, xiMultiplicity, xiMultiplicity2, gMinusAx] = oopeseemvsbeta(Sys, isInhBroadening, isFiniteExcitBw) +function [signal, xi, idxAngleInExcit] = oopeseemvsbeta(Sys, isInhBroadening, isFiniteExcitBw) arguments Sys isInhBroadening = 0 + isFiniteExcitBw = 0 end + Sys.isInhBroadening = isInhBroadening; + Sys.isFiniteExcitBw = isFiniteExcitBw; + idxAngleInExcit = []; + idxAngleInExcit1 = []; + idxAngleInExcit2 = []; + + errorMsg = checkfieldssys(Sys); + if ~isempty(errorMsg) + error(errorMsg) + end + fieldAxis = Sys.x; Bmean = mean(fieldAxis); - turningAngleAxis = Sys.turningAngleAxis; + firstPulseTurningAngles = Sys.firstPulseTurningAngles; dip = Sys.dip; JJ = Sys.J; mwFreq = Sys.mwFreq; @@ -343,6 +306,10 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) nNuc = 0; end nHfiLine = nNuc + 1; + if isFiniteExcitBw + gExcitRange = planck*mwFreq/bmagn./Sys.excitRange*1e12; + gExcitRange = flip(gExcitRange); % Increasing value + end % Parameters for g broadening lw1 = mt2mhz(Sys.lw1); @@ -378,11 +345,27 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) AMinus = zeros(nSolidAngle, 1); end - signal = zeros(numel(turningAngleAxis), nSolidAngle); + signal = zeros(numel(firstPulseTurningAngles), nSolidAngle); xi = zeros(1, nSolidAngle); if ~isInhBroadening for ii = 1:nSolidAngle + if isFiniteExcitBw + g1flag = isginexcitrange(g1(ii), gExcitRange); + g2flag = isginexcitrange(g2(ii), gExcitRange); + if g1flag + idxAngleInExcit1(end + 1) = ii; + end + if g2flag + idxAngleInExcit2(end + 1) = ii; + end +% if ~g1flag || ~g2flag +% continue +% end + if g1flag && g2flag + idxAngleInExcit(end + 1) = ii; + end + end gPlus = 1/2*(g1(ii) + g2(ii)); gMinus = 1/2*(g1(ii) - g2(ii)); @@ -399,7 +382,7 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) pascalFactor = 1; end - signal__ = zeros(numel(turningAngleAxis), nHfiLine); + signal__ = zeros(numel(firstPulseTurningAngles), nHfiLine); xi__ = zeros(1, nHfiLine); for ihfi = 1:nHfiLine % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); @@ -409,70 +392,15 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) xi__(ihfi) = mixinganglexi(deltaw__, JJ, dd(ii)); % savexi(ii, ihfi) = xi__(ihfi); signal__(:, ihfi) = ... - crystalEseem(xi__(ihfi), turningAngleAxis); + crystalEseem(xi__(ihfi), firstPulseTurningAngles); end % Average over hfi probability xi(ii) = xi__*pascalFactor; signal(:, ii) = signal__*pascalFactor; end - elseif isInhBroadening == 1 - parfor ii = 1:nSolidAngle - nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); - - [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); - [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); - ngax1 = numel(gax1); - ngax2 = numel(gax2); - - gaussianFactor = gInh1'*gInh2; - gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); - gaussianFactor = gaussianFactor(:)'; - - gPlus = ... - 1/2*(repmat(gax1', [1, ngax2]) + repmat(gax2, [ngax1, 1])); - gPlus = gPlus(:)'; - gMinus = ... - 1/2*(repmat(gax1', [1, ngax2]) - repmat(gax2, [ngax1, 1])); - gMinusAx = gMinus; - gMinus = gMinus(:)'; - %} - - w0_ = gvalue2freq(Bmean, gPlus); - deltaw_ = gvalue2freq(Bmean, gMinus); - % sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); - - quantNumNuc = -nNuc/2:1:nNuc/2; - if nNuc > 0 - pascalMatrix = pascal(nHfiLine); - % Antidiag - pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); - else - pascalFactor = 1; - end - - signal__ = zeros(numel(turningAngleAxis), nHfiLine, numel(gaussianFactor)); - xi__ = zeros(1, nHfiLine, numel(gaussianFactor)); - for ihfi = 1:nHfiLine - % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); - deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); - - xi__(1, ihfi, :) = mixinganglexi(deltaw__, JJ, dd(ii)); - savexi = xi__(ihfi, :); - signal__(:, ihfi, :) = ... - crystalEseem(xi__(1, ihfi, :), turningAngleAxis); - end - xi(ii) = squeeze(sum(... - xi__.*reshape(gaussianFactor, [1, size(gaussianFactor)]), ... - 3 ... - ))*pascalFactor; - signal(:, ii) = squeeze(sum(... - signal__.*reshape(gaussianFactor, [1, size(gaussianFactor)]), ... - 3 ... - ))*pascalFactor; - end - elseif isInhBroadening == 2 - parfor ii = 1:nSolidAngle + else + for ii = 1:nSolidAngle nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); @@ -492,10 +420,19 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) gaussianFactor = gInh1'*gInh2; gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); + + if isFiniteExcitBw + flag1 = isginexcitrange(gax1, gExcitRange); + flag2 = isginexcitrange(gax2, gExcitRange); + spinPairInRange = flag1'*flag2; + else + spinPairInRange = ones(ngax1, ngax2); + end diagsToExtract = -(ngax1 - 1):(ngax2 - 1); % All the diagonals xiMultiplicity = sum(spdiags(... - gaussianFactor, diagsToExtract), 1); - + gaussianFactor.*spinPairInRange, diagsToExtract), 1); + xiMultiplici + quantNumNuc = -nNuc/2:1:nNuc/2; if nNuc > 0 pascalMatrix = pascal(nHfiLine); @@ -505,7 +442,7 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) pascalFactor = 1; end - signal__ = zeros(numel(turningAngleAxis), nHfiLine, ngMinusAx); + signal__ = zeros(numel(firstPulseTurningAngles), nHfiLine, ngMinusAx); xi__ = zeros(1, nHfiLine, ngMinusAx); for ihfi = 1:nHfiLine % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); @@ -514,7 +451,7 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) xi__(1, ihfi, :) = mixinganglexi(deltaw__, JJ, dd(ii)); % savexi = xi__(ihfi, :); signal__(:, ihfi, :) = ... - crystalEseem(xi__(1, ihfi, :), turningAngleAxis); + crystalEseem(xi__(1, ihfi, :), firstPulseTurningAngles); end xi(ii) = squeeze(sum(... xi__.*reshape(xiMultiplicity, [1, 1, ngMinusAx]), ... @@ -528,976 +465,55 @@ function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) end end - function signal = crystalEseem(p, beta) % p = xi = 2alpha % beta = xx is the turning angle axis signal = - (1/2 * sin(2*beta) .* cos(p).^4 + ... 1/4 * sin(beta) .* sin(2*p).^2); end -%{ - -% Temporal prefactor sin(2*(dd - JJ)*tau) -if tau ~= 0 - timePrefac = sin(2*(dd - JJ)*tau); - timePrefac = insertDimensionPos1(timePrefac, 1); -else - timePrefac = ones(1, nTheta, nPhi); -end -signalNoLw = signalNoLw.*timePrefac; - -toc - -%% - -%% Optimized for loop - -lwArray = linspace(0.1, 1, 10); -% for ilw = 5:9 -for ilw = 1:numel(lwArray) -% ilw = 2; -lw1 = mt2mhz(lwArray(ilw)); % MHz -lw2 = mt2mhz(lwArray(ilw)); % MHz -% The g-factor linewidth -glw1 = w2gFunc(B0, lw1); -glw2 = w2gFunc(B0, lw2); - -% Spacing between g-values -dgax = 1e-6; -% dgaxInterp = 5e-6; - -signal = zeros(numel(xx), nTheta*nPhi); -asignal = zeros(numel(xx), nTheta*nPhi); -xi = zeros(1, nTheta*nPhi); -alpha = zeros(1, nTheta*nPhi); - -computTimes = zeros(nTheta, 1); - -% clear('xiPhi_', 'signalPhi_', 'alphaPhi_', 'asignalPhi_') -tic -parfor ii = 1:nTheta*nPhi -% tic -% % Update waitbar and message -% if ~exist('wbarTh', 'var') -% wbarTh = waitbar(0, '1', 'Name', 'Theta'); -% end -% waitbar(ith/nTheta, wbarTh, sprintf('%d out of %d', ith, nTheta)) - -% theta_ = thetas(ith); - -% signalPhi_ = zeros(numel(xx), nPhi); -% asignalPhi_ = zeros(numel(xx), nPhi); -% xiPhi_ = zeros(1, nPhi); -% alphaPhi_ = zeros(1, nPhi); -% ddPhi_ = dd(ith, :); -% g1Phi_ = g1(ith, :); -% g2Phi_ = g2(ith, :); -% phi_ = phis(iph); - - % Finite pulse bandwidth: no signal from spins outside excitRange - %{ - if g1(ith, iph) < excitRange(1) || ... - g1(ith, iph) > excitRange(2) || ... - g2(ith, iph) < excitRange(1) || ... - g2(ith, iph) > excitRange(2) - continue - end - %} - - % Consider inhomogenous broadening - % Create g-axis in order to 'sample' the inh. broadened g-values - [gax, gInh1, gInh2] = ... - creategaxis(g1(ii), g2(ii), glw1, glw2, dgax); - deltags = gax - gax(1); - % "Probability matrix" of a certain spin interacting with another - gaussianFactors = gInh1'*gInh2; - - % Calculate inh signal multiplicity using the fact that the signal - % is symmetric for xi -> -xi (hence sum the values of the - % non-central (meaning g1 - g2 != 0) multiplicity values) - diagsToExtract = -(numel(gInh1) - 1):(numel(gInh1) - 1); -% xiMultiplicity = spdiags(gaussianFactors, diagsToExtract); - xiMultiplicity = sum(spdiags(gaussianFactors, diagsToExtract), 1); - xiMultiplicity = xiMultiplicity(end/2 + 0.5:end) + ... - xiMultiplicity(end/2 + 0.5:-1:1); -% xiMultiplicity(1) = xiMultiplicity(1)/2; - - % Interpolate -% deltagsInterp = deltags; - - % [gaxInterp, ~, ~] = ... -% creategaxis(g1(ii), g2(ii), glw1, glw2, dgaxInterp); -% deltagsInterp = gaxInterp - gaxInterp(1); -% xiMultiplicity(1) = xiMultiplicity(1)*2; -% xiMultiplicityInterp = ... -% interp1(deltags, xiMultiplicity, deltagsInterp, ... -% 'linear', 'extrap'); -% xiMultiplicityInterp = ... -% xiMultiplicityInterp/sum(xiMultiplicityInterp); - % xiMultiplicity2(1) = 1/2*xiMultiplicity2(1); - - % Mixing angles - xi_ = atan( (dd(ii) + 2*JJ)*1e6 * ... - planck/(bmagn*B0*1e-3) ./ deltags); -% planck/(bmagn*B0*1e-3) ./ deltagsInterp ); -% alpha_ = 1/2*atan( (bmagn*B0*1e-3)/planck.*(deltagsInterp)/2 ./ ... -% ((JJ + dd(ii)/2)*1e6)); - % Average over inh. broadening - xiWeight = xiMultiplicity/sum(xiMultiplicity); % Interp)/ - xi(ii) = sum(abs(xi_).*xiWeight); -% alpha(ii) = sum(abs(alpha_).*xiMultiplicityInterp)/... -% sum(xiMultiplicityInterp); - % Signal - signalInh = crystalEseem(xi_, xx); -% asignalInh = crystalEseemZech(xi_, xx); - % Average over inh. broadening - signal(:, ii) = sum(signalInh.*xiWeight, 2); -% asignal(:, ii) = sum(asignalInh.*xiMultiplicityInterp, 2)/ ... -% sum(xiMultiplicityInterp); - - -% ngaxLarge = numel(gaxLarge); -% ngax = numel(gaussianFactors(1, :)); - -% gaxIdxs = round(ngaxLarge/2 - ngax/2):round(ngaxLarge/2 + ngax/2); -% gax = gaxLarge(gaxIdxs); -% gInh1 = gInh1Large(gaxIdxs); -% gInh2 = gInh2Large(gaxIdxs); -% xi_ = atan( (ddPhi_(iph) + 2*JJ)*1e6 * ... -% planck/(2*pi*(bmagn*B0)) ./ deltags ); - - - -end - % Store -% signal(:, ith, :) = signalPhi_; -% asignal(:, ith, :) = asignalPhi_; -% xi(ith, :) = xiPhi_; -% alpha(ith, :) = alphaPhi_; -% computTimes(ith) = toc; -% computTimes(ith) -% end - -% Average over solid angle -solidAngleWeight = sin(thetas)/sum(sin(thetas)*ones(1, nPhi), 'all'); -xi = reshape(xi, [nTheta, nPhi]); -alpha = reshape(alpha, [nTheta, nPhi]); -signal = reshape(signal, [numel(xx), nTheta, nPhi]); -asignal = reshape(asignal, [numel(xx), nTheta, nPhi]); -xiMean = sum(solidAngleWeight.*abs(xi), 'all'); -signalPowder = sum(squeeze(sum(solidAngleWeight'.*signal, 3)), 2); -alphaMean = sum(solidAngleWeight.*abs(alpha), 'all'); -asignalPowder = sum(squeeze(sum(solidAngleWeight'.*asignal, 3)), 2); -timeDuration = toc; -disp(append(newline, ... - 'Lwpp = ', string(lwArray(ilw)), ' mT', newline, ... - 'xiMean = ', string(xiMean*180/pi), ' deg', newline, ... - 'Time duration = ', string(timeDuration/60), ' min')) -% disp(xiMean*180/pi) - -end -%% -clf -imagesc(abs(xi)*180/pi) -colorbar -colormap(viridis()) - -%% - -for ii = 1:12 -% disp((abs(xiNoLw(ii)) - xi(ii))*180/pi) -end -mean(((xi(1:12) - abs(xiNoLw(1:12))))*180/pi) -%% -ii = 1; -% Consider inhomogenous broadening - % Create g-axis in order to 'sample' the inh. broadened g-values - [gax, gInh1, gInh2] = ... - creategaxis(g1(ii), g2(ii), glw1, glw2, dgax); - deltags = gax - gax(1); - % "Probability matrix" of a certain spin interacting with another - gaussianFactors = sparse(gInh1'*gInh2); - - % Calculate inh signal multiplicity using the fact that the signal - % is symmetric for xi -> -xi (hence sum the values of the - % non-central (meaning g1 - g2 != 0) multiplicity values) - diagsToExtract = -(numel(gInh1) - 1):(numel(gInh1) - 1); - % xiMultiplicity = spdiags(gaussianFactors, diagsToExtract); - xiMultiplicity = sum(spdiags(gaussianFactors, diagsToExtract), 1); - xiMultiplicity = xiMultiplicity(end/2 + 0.5:end) + ... - xiMultiplicity(end/2 + 0.5:-1:1); - % xiMultiplicity(1) = xiMultiplicity(1)/2; - - % Interpolate - [gaxInterp, ~, ~] = ... - creategaxis(g1(ii), g2(ii), glw1, glw2, dgaxInterp); - deltagsInterp = gaxInterp - gaxInterp(1); - % xiMultiplicity(1) = xiMultiplicity(1)*2; - xiMultiplicityInterp = ... - interp1(deltags, xiMultiplicity, deltagsInterp, ... - 'linear', 'extrap'); - xiMultiplicityInterp = ... - xiMultiplicityInterp/sum(xiMultiplicityInterp); - % xiMultiplicity2(1) = 1/2*xiMultiplicity2(1); - - % Mixing angles - xi_ = atan( (dd(ii) + 2*JJ)*1e6 * ... - planck/(bmagn*B0*1e-3) ./ deltagsInterp ); - alpha_ = 1/2*atan( (bmagn*B0*1e-3)/planck.*(deltagsInterp)/2 ./ ... - ((JJ + dd(ii)/2)*1e6)); - % Average over inh. broadening - xi(ii) = sum(abs(xi_).*xiMultiplicityInterp); - alpha(ii) = sum(abs(alpha_).*xiMultiplicityInterp); - % Signal - signalInh = crystalEseem(xi_, xx); - asignalInh = crystalEseemZech(xi_, xx); - % Average over inh. broadening - signal(:, ii) = sum(signalInh.*xiMultiplicityInterp, 2)/ ... - sum(xiMultiplicityInterp); - asignal(:, ii) = sum(asignalInh.*xiMultiplicityInterp, 2)/ ... - sum(xiMultiplicityInterp); - -clf -plot(deltags, xiMultiplicity, 'o') -yyaxis right -plot(deltags, xi_) - -% figure(1) -% clf -% imagesc(gaussianFactors) -% colorbar -% [~, idx1] = max(gaussianFactors(:, 100)); -% [~, idx2] = max(gaussianFactors(100, :)); -% xline(idx2, 'r') -% yline(idx1, 'r') -% figure(2) -% clf -% plot(gax, gaussianFactors(idx1, :)/max(gaussianFactors(idx1, :))) -% hold on -% plot(gax, gInh2/max(gInh2), 'o') -%% -% savePath = append("powderAverage_inhBroadening_glw_0", string(ilw), ".mat"); -% save(savePath, 'xi', 'signal', 'xiMean', 'signalPowder') - -% delete(wbarTh) -% clear('wbarTh') -% end - -% clf -% plot(xx, signal_{ith, iph}) -% hold on -% plot(xx, signalNoLw_{ith, iph}) - -% max(signal_{ith, iph}) - -%{ -%% Optimized for loop - -% lwArray = logspace(-1, 2, 10); -% for ilw = 5:9 - lw1 = mt2mhz(0.35); % MHz - lw2 = mt2mhz(0.35); % MHz - % The g-factor linewidth - glw1 = w2gFunc(B0, lw1); - glw2 = w2gFunc(B0, lw2); - - % Spacing between g-values - dgax = 1e-5; - dgaxInterp = 1e-7; - - signal = zeros(numel(xx), nTheta, nPhi); - asignal = zeros(numel(xx), nTheta, nPhi); - xi = zeros(nTheta, nPhi); - alpha = zeros(nTheta, nPhi); - - computTimes = zeros(nTheta, 1); - - clear('xiPhi_', 'signalPhi_', 'alphaPhi_', 'asignalPhi_') - % tic - for ith = 1:nTheta - tic - % Update waitbar and message - if ~exist('wbarTh', 'var') - wbarTh = waitbar(0, '1', 'Name', 'Theta'); - end - waitbar(ith/nTheta, wbarTh, sprintf('%d out of %d', ith, nTheta)) - - theta_ = thetas(ith); - - signalPhi_ = zeros(numel(xx), nPhi); - asignalPhi_ = zeros(numel(xx), nPhi); - xiPhi_ = zeros(1, nPhi); - alphaPhi_ = zeros(1, nPhi); - ddPhi_ = dd(ith, :); - g1Phi_ = g1(ith, :); - g2Phi_ = g2(ith, :); - parfor iph = 1:nPhi - phi_ = phis(iph); - - % Finite pulse bandwidth: no signal from spins outside excitRange - %{ - if g1(ith, iph) < excitRange(1) || ... - g1(ith, iph) > excitRange(2) || ... - g2(ith, iph) < excitRange(1) || ... - g2(ith, iph) > excitRange(2) - continue - end - %} - - % Consider inhomogenous broadening - % Create g-axis in order to 'sample' the inh. broadened g-values - [gax, gInh1, gInh2] = ... - creategaxis(g1Phi_(iph), g2Phi_(iph), glw1, glw2, dgax); - deltags = gax - gax(1); - % "Probability matrix" of a certain spin interacting with another - gaussianFactors = gInh1'*gInh2; - - % Calculate inh signal multiplicity using the fact that the signal - % is symmetric for xi -> -xi (hence sum the values of the - % non-central (meaning g1 - g2 != 0) multiplicity values) - diagsToExtract = -(numel(gInh1) - 1):(numel(gInh1) - 1); - % xiMultiplicity = spdiags(gaussianFactors, diagsToExtract); - xiMultiplicity = sum(spdiags(gaussianFactors, diagsToExtract), 1); - xiMultiplicity = xiMultiplicity(end/2 + 0.5:end) + ... - xiMultiplicity(end/2 + 0.5:-1:1); - % xiMultiplicity(1) = xiMultiplicity(1)/2; - - % Interpolate - [gaxInterp, ~, ~] = ... - creategaxis(g1Phi_(iph), g2Phi_(iph), glw1, glw2, dgaxInterp); - deltagsInterp = gaxInterp - gaxInterp(1); - % xiMultiplicity(1) = xiMultiplicity(1)*2; - xiMultiplicityInterp = ... - interp1(deltags, xiMultiplicity, deltagsInterp, ... - 'linear', 'extrap'); - xiMultiplicityInterp = ... - xiMultiplicityInterp/sum(xiMultiplicityInterp); - % xiMultiplicity2(1) = 1/2*xiMultiplicity2(1); - - % Mixing angles - xi_ = atan( (ddPhi_(iph) + 2*JJ)*1e6 * ... - planck/(bmagn*B0) ./ deltagsInterp ); - alpha_ = 1/2*atan( (bmagn*B0)/planck.*(deltagsInterp)/2 ./ ... - ((JJ + ddPhi_(iph)/2)*1e6)); - % Average over inh. broadening - xiPhi_(iph) = sum(abs(xi_).*xiMultiplicityInterp)/... - sum(xiMultiplicityInterp); - alphaPhi_(iph) = sum(abs(alpha_).*xiMultiplicityInterp)/... - sum(xiMultiplicityInterp); - % Signal - signalInh = crystalEseem(xi_, xx); - asignalInh = crystalEseemZech(xi_, xx); - % Average over inh. broadening - signalPhi_(:, iph) = sum(signalInh.*xiMultiplicityInterp, 2)/ ... - sum(xiMultiplicityInterp); - asignalPhi_(:, iph) = sum(asignalInh.*xiMultiplicityInterp, 2)/ ... - sum(xiMultiplicityInterp); - - - % ngaxLarge = numel(gaxLarge); - % ngax = numel(gaussianFactors(1, :)); - - % gaxIdxs = round(ngaxLarge/2 - ngax/2):round(ngaxLarge/2 + ngax/2); - % gax = gaxLarge(gaxIdxs); - % gInh1 = gInh1Large(gaxIdxs); - % gInh2 = gInh2Large(gaxIdxs); - % xi_ = atan( (ddPhi_(iph) + 2*JJ)*1e6 * ... - % planck/(2*pi*(bmagn*B0)) ./ deltags ); - - +function errorMsg = checkfieldssys(Sys) + +% excitRange +errorMsgContent = "excitRange should be a vector of " + ... + "two elements of increasing value."; +errorMsg = ''; +if Sys.isFiniteExcitBw + if isempty(Sys.excitRange) + errorMsg = errorMsgContent; + elseif ~isa(Sys.excitRange, 'double') + errorMsg = errorMsgContent; + else + if size(Sys.excitRange) ~= 2 + errorMsg = errorMsgContent; + elseif Sys.excitRange(1) >= Sys.excitRange(2) + errorMsg = errorMsgContent; end - % Store - signal(:, ith, :) = signalPhi_; - asignal(:, ith, :) = asignalPhi_; - xi(ith, :) = xiPhi_; - alpha(ith, :) = alphaPhi_; - computTimes(ith) = toc; -% computTimes(ith) end - % toc - - % Average over solid angle - xiMean = sum(sin(thetas').*abs(xi), 'all')/ ... - sum(sin(thetas')*ones(1, nPhi), 'all'); - signalPowder = sum(squeeze(sum(sin(thetas).*signal, 3)), 2)/ ... - sum(sin(thetas')*ones(1, nPhi), 'all'); - alphaMean = sum(sin(thetas').*abs(alpha), 'all')/ ... - sum(sin(thetas')*ones(1, nPhi), 'all'); - asignalPowder = sum(squeeze(sum(sin(thetas).*asignal, 3)), 2)/ ... - sum(sin(thetas')*ones(1, nPhi), 'all'); - -% savePath = append("powderAverage_inhBroadening_glw_0", string(ilw), ".mat"); -% save(savePath, 'xi', 'signal', 'xiMean', 'signalPowder') - - delete(wbarTh) - clear('wbarTh') -% end - -% clf -% plot(xx, signal_{ith, iph}) -% hold on -% plot(xx, signalNoLw_{ith, iph}) - -% max(signal_{ith, iph}) -%} -%% - -%{ -%% Check if it is the same to use xi or alpha - -dip = unitconvert(-0.177,'mT->MHz'); % MHz, -4.9 MHz -JJ = unitconvert(1e-3,'mT->MHz'); % MHz - -% Expected input: B0 in mT -% Output: frequency nu in GHz -g2wFunc = @(B0, g) bmagn*B0/planck*g*1e-12; -% Expected input: deltaw in GHz, J in MHz, d in MHz -% Output: Omega in GHz -OmegaFunc = @(deltaw, J, d) sqrt(deltaw.^2 + (J*1e-3 + d/2*1e-3).^2); -% Dipolar interaction -% Makes use of the fact that cos(thetaD) = dotProduct(B0, zD) -% Expected input: -% dip: 1 x 1 -% nVers: 3 x nTheta x nPhi -% zD: 3 x 1 -dipFunc = @(dip, nVers, zD) dip*((sum(nVers.*zD)).^2 - 1/3); -% Input vec of dimensions a1 x a2 x a3 x ... and return vec of dimensions -% n x a1 x a2 x a3 x ... with vec(i, :, :, ...) = vec(j, :, :, ...) for -% every i and j -insertDimensionPos1 = @(vec, n) ... - repmat(reshape(vec, [1, size(vec)]), [n, ones(1, numel(size(vec)))]); - -% Mixing angle, p = [dd, JJ, deltaw] in [MHz, MHz, GHz] -xiFunc = @(dd, JJ, deltaw) atan( (dd/2 + JJ).*1e-3 ./ deltaw); -alphaFunc = @(dd, JJ, deltaw) 1/2*atan( deltaw ./ ((JJ + dd/2)*1e-3)); - -tau = 0.; % us - -% Assume finite bandwidth of the excitation pulse -pulseBw = 0.5e-3; % T -gPulseBw = planck*mwFreq/bmagn*(pulseBw/B0/B0); -gPulsePosition = planck*mwFreq/bmagn/B0; -excitRange = [-1/2, +1/2]*gPulseBw + gPulsePosition; - -% Theta and phi grid -thetas = (0:3:180)*pi/180; -nTheta = numel(thetas); -phis = (0:3:360)*pi/180; -nPhi = numel(phis); - -tic - -clear('dd', 'nVers', 'nVersInFrame1', 'g1', 'g2', 'xiNoLw', 'xiNoLw3D', ... - 'alphaNoLw', 'alphaNoLw3D', .... - 'signalNoLw', 'signalPowderNoLw', 'asignalNoLw', 'asignalPowderNoLw') - -% Direction of B0 -clear('nVers') -nVers(1, :, :) = sin(thetas')*cos(phis); -nVers(2, :, :) = sin(thetas')*sin(phis); -nVers(3, :, :) = cos(thetas')*ones(1, nPhi); -% Effective g-values -g2 = squeeze(sqrt( sum( (Sys.g(2, :)'.*nVers).^2))); -euMatrixg1 = erot(Sys.gFrame(1, :)); -g1TensorInFrame2 = euMatrixg1'*diag(Sys.g(1, :))*euMatrixg1; -g1 = squeeze(sqrt( sum( (pagemtimes(g1TensorInFrame2, nVers)).^2))); -% Dipolar interaction -zD = erot(Sys.eeFrame)*[0, 0, 1]'; -dd = squeeze(dipFunc(dip, nVers, zD)); - -deltaw = g2wFunc(B0, (g1 - g2)/2); % GHz - -% -% Mixing angles -% -alphaNoLw = alphaFunc(dd, JJ, deltaw); -xiNoLw = xiFunc(dd, JJ, deltaw); -% Average over all the solid angles with proper normalization -solidAngleWeight = sin(thetas')/sum(sin(thetas')*ones(1, nPhi), 'all'); -alphaMeanNoLw = sum(solidAngleWeight.*abs(alphaNoLw), 'all'); -xiMeanNoLw = sum(solidAngleWeight.*abs(xiNoLw), 'all'); - -% -% Signal -% -asignalNoLw = crystalEseemZech(insertDimensionPos1(alphaNoLw, 1), xx); -signalNoLw = crystalEseem(insertDimensionPos1(xiNoLw, 1), xx); - -% Temporal prefactor sin(2*(dd - JJ)*tau) -if tau ~= 0 - timePrefac = sin(2*(dd - JJ)*tau); - timePrefac = insertDimensionPos1(timePrefac, 1); -else - timePrefac = ones(1, nTheta, nPhi); end -asignalNoLw = asignalNoLw.*timePrefac; -signalNoLw = signalNoLw.*timePrefac; - -% Sum every angular contribution to the signal -asignalPowderNoLw = sum(squeeze(sum(solidAngleWeight'.*asignalNoLw, 3)), 2); -signalPowderNoLw = sum(squeeze(sum(solidAngleWeight'.*signalNoLw, 3)), 2); - -toc -%} - -%% - -% Fit to determine the best mixing angle if it were a crystal -fitModel = @(p) p(1)*crystalEseem(p(2), xx); -p0 = [2, 6.9*pi/180]; -vary = [2, 40*pi/180]; -FitOpt.x = xx; - -ydata = rescaledata(signalPowderNoLw, 'maxabs'); -Fit = esfit(ydata, fitModel, p0, vary, FitOpt); - -clf -plot(xx, ydata, xx, Fit.fit); -yline(0, '--') -yyaxis right -plot(xx, Fit.residuals) -yline(0, '--') - -Fit.pfit(2)*180/pi % Best fit crystal mixing angle - -%{ -%% - - -figure(6) -mySignal = rescaledata(signalPowderNoLw, 'maxabs'); -testManualFit = rescaledata(crystalEseem(6.18*pi/180, xx), 'maxabs'); -crystalMean = rescaledata(crystalEseem(xiNoLwMean, xx), 'maxabs'); - -clf -% tL = tiledlayout(2, 1, 'TileSpacing', 'compact', 'Padding', 'Compact'); -% nexttile -plot(x*180/pi, rescaledata(y, 'maxabs'), 'o-', 'DisplayName', 'Zech exp. data') -hold on -plot(xx*180/pi, rescaledata(yy, 'maxabs'), 'DisplayName', 'Zech Fit') -% plot(xx*180/pi, initFit) -% plot(xx*180/pi, initFit2) -plot(xx*180/pi, mySignal, 'DisplayName', 'Gianluca powder') -plot(xx*180/pi, expectFit, 'k', 'DisplayName', '8 degrees') -plot(xx*180/pi, testManualFit, 'r--', 'DisplayName', '6.18 deg test') -plot(xx*180/pi, crystalMean, 'DisplayName', 'X-tal of avg xi (4deg)') -xlim(setaxlim(xx*180/pi, 1)) - -% nexttile -% plot(xx*180/pi, mySignal - expectFit) -legend('Location', 'northwest') -labelaxesfig(gca, 'Flip angle beta', 'ESEEM intensity') - -% [temp01, temp1] = min(abs(expectFit(5:end - 1))); -% temp1 = 4 + temp1; -% xx(temp1)*180/pi -% mySignal(temp1) -%% -% TODO maybe set same colorbar extremes for both -figure(1) -clf -tL = tiledlayout(1, 2); -nexttile -% imagesc(phis, thetas, g1) -imagesc(g1) -colorbar -title('g1') -nexttile -% imagesc(phis, thetas, g2) -imagesc(g2) -colorbar -labelaxesfig(tL, 'Phi', 'Theta') -title('g2') - -figure(2) -clf -% imagesc(dip*(valueOfCosThetaD.^2 - 1/3)) -% imagesc(thetas, phis, dd) -% imagesc(phis, thetas, dd) -imagesc(dd) -labelaxesfig(gca, 'Phi', 'Theta') -% imagesc(thetas, phis, xiNoLw) -cbar = colorbar; -% set(cbar, 'YDir', 'reverse'); -title('Dipolar interaction dd') - - -figure(3) -clf -% imagesc(phis, thetas, g1 - g2) -imagesc(g1 - g2) -labelaxesfig(gca, 'Phi', 'Theta') -cbar = colorbar; -title('g1 minus g2') - -figure(4) -clf -% imagesc(dip*(valueOfCosThetaD.^2 - 1/3)) -% imagesc(phis, thetas, xiNoLw) -imagesc(xiNoLw) -cbar = colorbar; -labelaxesfig(gca, 'Phi', 'Theta') -% set(cbar, 'YDir', 'reverse'); -title('xiNoLw') - -% -figure(5) -clf -plot(xx, signalNoLw_{22, 200}, 'DisplayName', string(xiNoLw(22, 200)*180/pi) + " deg") -hold on -plot(xx, signalNoLw_{45, 100}, 'DisplayName', string(xiNoLw(45, 100)*180/pi) + " deg") -plot(xx, signalNoLw_{46, 200}, 'DisplayName', string(xiNoLw(46, 200)*180/pi) + " deg") -plot(xx, signalNoLw_{43, 200}, 'DisplayName', string(xiNoLw(43, 200)*180/pi) + " deg") -plot(xx, signalNoLw_{335, 540}, 'DisplayName', string(xiNoLw(335, 540)*180/pi) + " deg") -legend() - -%} - - -%% - -lwArrayTest = linspace(0.1, 50, 100); -ith = 15; -iph = 15; -% ith = 342; -% iph = 357; -% for ilw = 1:100 -% lw1 = lwArrayTest(ilw)*1e6; % Hz -% lw2 = lwArrayTest(ilw)*1e6; % Hz - lw1 = 5e6; - lw2 = 5e6; - glw1 = planck/bmagn/B0*lw1; - glw2 = planck/bmagn/B0*lw2; - signalPhi_ = zeros(numel(xx), nPhi); - dgax = 1e-5; - dgaxInterp = 1e-7; - xiPhi_ = zeros(1, nPhi); - ddPhi_ = dd(ith, :); - g1Phi_ = g1(ith, :); - g2Phi_ = g2(ith, :); - [gax, gInh1, gInh2] = ... - creategaxis(g1Phi_(iph), g2Phi_(iph), glw1, glw2, dgax); - deltags = gax - gax(1); - % "Probability matrix" of a certain spin interacting with another - gaussianFactors = gInh1'*gInh2; - - % Calculate inh signal multiplicity using the fact that the signal - % is symmetric for xi -> -xi (hence sum the values of the - % non-central (meaning g1 - g2 != 0) multiplicity values) - diagsToExtract = -(numel(gInh1) - 1):(numel(gInh1) - 1); - % xiMultiplicity = spdiags(gaussianFactors, diagsToExtract); - xiMultiplicity = sum(spdiags(gaussianFactors, diagsToExtract), 1); - xiMultiplicity = xiMultiplicity(end/2 + 0.5:end) + ... - xiMultiplicity(end/2 + 0.5:-1:1); -% xiMultiplicity(1) = xiMultiplicity(1)/2; - - % Interpolate - [gaxInterp, ~, ~] = ... - creategaxis(g1Phi_(iph), g2Phi_(iph), glw1, glw2, dgaxInterp); - deltagsInterp = gaxInterp - gaxInterp(1); -% xiMultiplicity(1) = xiMultiplicity(1)*2; - xiMultiplicityInterp = ... - interp1(deltags, xiMultiplicity, deltagsInterp, ... - 'linear', 'extrap'); - % xiMultiplicity2(1) = 1/2*xiMultiplicity2(1); - - % Mixing angles - xi_ = atan( (ddPhi_(iph) + 2*JJ)*1e6 * ... - planck/(bmagn*B0) ./ deltagsInterp ); - % Average over inh. broadening - xiPhi_(iph) = sum(abs(xi_).*xiMultiplicityInterp)/... - sum(xiMultiplicityInterp); - mixingAngle(ilw) = xiPhi_(iph)*180/pi; - [valMax, idxMax] = max(xiMultiplicityInterp); - positionMax(ilw) = deltagsInterp(idxMax); - [~, idxFwhm] = min(abs(valMax/2 - xiMultiplicityInterp)); - xiMultFwhm(ilw) = abs(deltagsInterp(idxFwhm) - positionMax(ilw)); - % Signal - signalInh = crystalEseem(xi_, xx); - % Average over inh. broadening - signalPhi_(:, iph) = sum(signalInh.*xiMultiplicityInterp, 2)/ ... - sum(xiMultiplicityInterp); - -% end -clf -plot(deltags, gInh1, 'o-', deltags, gInh2, 'o-') -plot(deltags, xiMultiplicity, 'o', deltagsInterp, xiMultiplicityInterp) -yyaxis right -plot(deltagsInterp, xi_, 'o') - -%% -%{ -%% Test - -% tempInhMultiplicity = sum(spdiags(gaussianFactors), 1); -% InhMultiplicity = aa1(end/2 + 0.5:end) + aa1(end/2 + 0.5:-1:1); -clf -ngax = numel(gax); -plot(1:2*ngax - 1, xiMultiplicity, 1:ngax, xiMultiplicity) -hold on -plot(1:ngax, gInh1, 1:ngax, gInh2) -plot(1:2*ngax - 1, xiComplete_*1e-4) - -%% Test - -deltagDistr = linspace(0, 1e-4, 2*ngax - 1); -xiDistr = atan( (dd(30, 70) + 2*JJ)*1e6 * ... - planck/(2*pi*(bmagn*B0)) ./ deltagDistr ); -mean(xiDistr)*180/pi -atan( (dd(30, 70) + 2*JJ)*1e6 * ... - planck/(2*pi*(bmagn*B0)) ./ mean(deltagDistr))*180/pi - -%% Test - -ith = 30; -iph = 400; - -gax = creategaxis(g1(ith, iph), g2(ith, iph), glw1, glw2, dgax); -ngax = numel(gax); -% Inhomogeneously broadened gaussian distributions -gInh1 = gaussian(gax, g1(ith, iph), glw1); -gInh2 = gaussian(gax, g2(ith, iph), glw2); -% Normalization (?) -gInh1 = gInh1/sum(gInh1); -gInh2 = gInh2/sum(gInh2); - -diff = zeros(ngax, ngax); -for i1 = 1:ngax - for i2 = 1:ngax - diff(i1, i2) = gInh1(i1) - gInh2(i2); - end -end - -g1(ith, iph) - g2(ith, iph) -mean(abs(diff(:))) - - -clf -imagesc(diff) -colorbar -% clf -% plot(gax, gInh1, gax, gInh2) -% -% nStep = round(2*max(diff(:))/dgax); -% diffDistr = zeros(nStep, 1); -% for i1 = 1:ngax -% for i2 = 1:ngax -% aa = round(diff(i1, i2)/dgax); -% end -% end - -%% - -% size(crystalEseem(xi_(1:10)', xx)) - -%% Some plots - -ith = 1; -iph = 1; -fig = figure(6); -tiledlayout(2, 2, 'TileSpacing', 'compact', 'Padding', 'tight') -nexttile -%contour(xi{ith, iph}) -colorbar - -nexttile -% plot(1:numel(xi{ith, iph}(:, 100)), xi{ith, iph}(:, 100)) -% textStr = sprintf('Max = %.3f, Min = %.3f', ... -% max(xi{ith, iph}(:, 100)), min(xi{ith, iph}(:, 100))); -% text(10, -1.5, textStr) - -nexttile -%% -ith = 30; -iph = 59; -gax = creategaxis(g1(ith, iph), g2(ith, iph), glw1, glw2, dgax); -gInh1 = gaussian(gax, g1(ith, iph), glw1); -gInh2 = gaussian(gax, g2(ith, iph), glw2); -gInh1 = gInh1/sum(gInh1); -gInh2 = gInh2/sum(gInh2); -contour(gInh1'*gInh2) -colorbar - -clf -plot(gax, gInh1, '-o') -hold on -plot(gax, gInh2, '-o') -yyaxis right -plot(gax, gInh1.*gInh2, '-o') - -max(gInh1) -max(gInh2) -max(gInh1.*gInh2) -%{ -nexttile(5, [2, 2]) -plot(x*180/pi, rescaledata(y, 'maxabs'), 'o-') -hold on -plot(xx*180/pi, rescaledata(yy, 'maxabs')) -plot(xx*180/pi, initFit) -plot(xx*180/pi, initFit2) -plot(xx*180/pi, rescaledata(signalPowder, 'maxabs'), 'ko-') -textStr = sprintf('Max = %.3f, Min = %.3f', ... - max(rescaledata(signalPowder, 'maxabs')), ... - min(rescaledata(signalPowder, 'maxabs'))); -text(10, 0.5, textStr) - -textStr = "thetas = 0:0.5:180; phis = 0:0.5:360;" + newline + ... - "dgax = 0.00005; computational time 5.16 h"; -text(110, -0.5, textStr) -%} - -%% - -%{ -% [nTheta, nPhi] = size(xi); -signalPowder = zeros(numel(xx), 1); - -wbarTh = waitbar(0, '1', 'Name', 'signalPowder'); -% wbarPh = waitbar(0, '1', 'Name', 'In the for cycle (Phi)'); -% -for ith = 1:nTheta - % Update waitbar and message - waitbar(ith/nTheta, wbarTh, sprintf('%d out of %d', ith, nTheta)) - - for iph = 1:nPhi -% waitbar(iph/nPhi, wbarPh, sprintf('%d out of %d', iph, nPhi)) - xi_ = xi{ith, iph}; - [ngax, ~] = size(xi_); - signalSummed = zeros(numel(xx), ngax); - for ig1 = 1:ngax - for ig2 = 1:ngax - signalSummed(:, ig1) = signalSummed(:, ig1) + ... - crystalEseem(xi_(ig1, ig2), xx); - end - signal_{ith, iph} = sum(signalSummed, 2); - end - % Solid angle normalization -% theta_ = thetas(ith); -% signal_{ith, iph} = sum(signalSingleSumg2, 2)*sin(theta_); -% signalPowder = signalPowder + signal_{ith, iph}; - end - theta_ = thetas(ith); - signalPowder = signalPowder + signal_{ith, iph}*sin(theta_); end -delete(wbarTh) -% delete(wbarPh) -%} - -% signalPowder = zeros(numel(xx), 1); -% for ith = 1:nTheta -% theta_ = thetas(ith); -% for iph = 1:nPhi -% signalPowder = signalPowder + signal_{ith, iph}*sin(theta_); -% end +function flag = isginexcitrange(g, gExcitRange) +flag = ones(size(g)); +idxOutRange = g < gExcitRange(1) | g > gExcitRange(2); +flag(idxOutRange) = 0; +% if g < gExcitRange(1) || g > gExcitRange(2) +% flag = 0; % g outside the range +% else +% flag = 1; % end - - -% plot(xx*180/pi, -rescaledata(sin(2*xx), y)) - -%% -aa.signalPowder = zeros(numel(xx), 1); - -for ith = 1:nTheta - for iph = 1:nPhi - aa.signalPowder = aa.signalPowder + aa.signal_{ith, iph}; - end end -%% Mean xi - -% for ith = 1:nTheta -% theta_ = thetas(ith); -% xitest(ith, :) = repmat(cos(theta_)^4, 1, nPhi); -% xitest(ith, :) = repmat(1, 1, nPhi); -% end -for ith = 1:nTheta - theta_ = thetas(ith); - xiMean = xiMean + sum(xi(ith, :))*sin(theta_); +function [xSquare, ySquare] = drawsquaresexcitrange(idxAngle, nTheta) +xSquare0 = floor(idxAngle/nTheta) + 0.5; +if rem(idxAngle, nTheta) == 0 + xSquare0 = xSquare0 - 1; end -normTh = pi/2/nTheta; -normPh = 1/nPhi; -normTot = normPh*normTh; -xiMean = xiMean*normTot*180/pi % /nTheta*pi/2 -% xiMean = xiMean/normTh - -%% - -g1_ = g1(1, 1); -g2_ = g2(1, 1); -lw1 = 15e6; % Hz -lw2 = 15e6; % Hz -% The g-factor linewidth for each one is (delta_nu_i = lw_i): -% delta_g_i mu_B B0 = h delta_nu_i -glw1 = planck/bmagn/0.35*lw1; -glw2 = planck/bmagn/0.35*lw2; - -xx = creategaxis(g1_, g2_, glw1, glw2, 0.0001); -% xx = 1.995:0.0001:2.015; - -gd1 = gaussian(xx, g1_, glw1); -gd2 = gaussian(xx, g2_, glw2); - -figure() -plot(xx, gd1, xx, gd2) - -%% - -clf -aa = creategaxis(g1(140, 1), g2(140, 1), glw1, glw2, dgax); -plot(aa, gaussian(aa, g1(140, 1), glw1), ... - aa, gaussian(aa, g2(140, 1), glw2)) -yyaxis right -plot(aa, gaussian(aa, g1(140, 1), glw1) .* gaussian(aa, g2(140, 1), glw2)) - -%% - -%} - -function [gax, gInh1, gInh2] = creategaxis(g1, g2, glw1, glw2, dgax) - % Here glw1 and glw2 are the lwpp, therefore the variance will be - % lwpp*2 - xxFactor = 1; - xmin = min([g1 - xxFactor*glw1, g2 - xxFactor*glw2]); - xmax = max([g1 + xxFactor*glw1, g2 + xxFactor*glw2]); - gax = xmin:dgax:xmax; - - % Inhomogeneously broadened gaussian distributions - gInh1 = gaussian(gax, g1, glw1); - gInh2 = gaussian(gax, g2, glw2); - % Normalization -% gaxForNormaliz1 = ... -% (gax(round(end/2)) - 5*glw1):dgax:(gax(round(end/2)) + 5*glw1); -% gaxForNormaliz2 = ... -% (gax(round(end/2)) - 5*glw2):dgax:(gax(round(end/2)) + 5*glw2); -% normFactorgInh1 = sum(gaussian(gaxForNormaliz1, g1, glw1)); -% normFactorgInh2 = sum(gaussian(gaxForNormaliz2, g2, glw2)); -% gInh1 = gInh1/normFactorgInh1; -% gInh2 = gInh2/normFactorgInh2; +ySquare0 = mod(idxAngle, nTheta) - 0.5; +if ySquare0 == -0.5 + ySquare0 = ySquare0 + nTheta; end - -% function centeredMatrix = createcenteredmatrix(gInh1, gInh2) -% nPoints = numel(gInh1); -% multipl = gInh1'*gInh2; -% [~, idxMax1] = max(multipl(:, round(nPoints))); -% [~, idxMax2] = max(multipl(round(nPoints), :)); -% halfWidthFin = min([idxMax1, idxMax2]) - 2; -% -% centeredMatrix = ... -% multipl(idxMax1 - halfWidthFin:idxMax1 + halfWidthFin, ... -% idxMax2 - halfWidthFin:idxMax2 + halfWidthFin); -% end - - - -%} - - - - - - - - +xSquare = [xSquare0, xSquare0, xSquare0 + 1, xSquare0 + 1, xSquare0]; +ySquare = [ySquare0, ySquare0 + 1, ySquare0 + 1, ySquare0, ySquare0]; +end \ No newline at end of file diff --git a/zech_psiOopEseem_trEPRstickSpectra.m b/zech_psiOopEseem_trEPRstickSpectra.m index a768171..0e70ae8 100755 --- a/zech_psiOopEseem_trEPRstickSpectra.m +++ b/zech_psiOopEseem_trEPRstickSpectra.m @@ -69,9 +69,9 @@ FitOpt.maxTime = 0.5; % % % ySimNoHfi = pepper(Sys, Exp); -ySim = pepper(Sys, Exp, Opt); +% ySim = pepper(Sys, Exp, Opt); % yySim = ySim; -ySim = ySim'/max(abs(ySim)); +% ySim = ySim'/max(abs(ySim)); % Ham = ham(Sys, [0, 0, B0]); % [Ham0, mux, muy, muz] = ham(Sys); -- GitLab