From 2d68bb84c711de6ff604af5211f72045cfdc831f Mon Sep 17 00:00:00 2001
From: gianlum33 <g.marcozzi@fu-berlin.de>
Date: Thu, 19 Sep 2024 11:03:01 +0200
Subject: [PATCH] Least square fit

---
 ...expData_zech_aStructuralModelFor_qBand.csv | 875 ++++++++++++++++++
 ...expData_zech_aStructuralModelFor_qBand.mat | Bin 0 -> 4320 bytes
 ...expData_zech_aStructuralModelFor_wBand.csv | 811 ++++++++++++++++
 ...expData_zech_aStructuralModelFor_wBand.mat | Bin 0 -> 4413 bytes
 ...expData_zech_aStructuralModelFor_xBand.csv | 561 +++++++++++
 ...expData_zech_aStructuralModelFor_xBand.mat | Bin 0 -> 4192 bytes
 .../zech_p46_oopEseem_expData.csv             |   0
 .../zech_p46_oopEseem_fit.csv                 |   0
 zech_gBroadening_leastSquareFit.asv           | 380 ++++++++
 zech_gBroadening_leastSquareFit.m             | 110 ++-
 10 files changed, 2717 insertions(+), 20 deletions(-)
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_qBand.csv
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_qBand.mat
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_wBand.csv
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_wBand.mat
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_xBand.csv
 create mode 100644 data/digitized/expData_zech_aStructuralModelFor_xBand.mat
 rename data/{extracted => digitized}/zech_p46_oopEseem_expData.csv (100%)
 rename data/{extracted => digitized}/zech_p46_oopEseem_fit.csv (100%)
 create mode 100644 zech_gBroadening_leastSquareFit.asv

diff --git a/data/digitized/expData_zech_aStructuralModelFor_qBand.csv b/data/digitized/expData_zech_aStructuralModelFor_qBand.csv
new file mode 100644
index 0000000..d5557a8
--- /dev/null
+++ b/data/digitized/expData_zech_aStructuralModelFor_qBand.csv
@@ -0,0 +1,875 @@
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diff --git a/data/digitized/expData_zech_aStructuralModelFor_qBand.mat b/data/digitized/expData_zech_aStructuralModelFor_qBand.mat
new file mode 100644
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diff --git a/data/digitized/expData_zech_aStructuralModelFor_wBand.csv b/data/digitized/expData_zech_aStructuralModelFor_wBand.csv
new file mode 100644
index 0000000..7d49716
--- /dev/null
+++ b/data/digitized/expData_zech_aStructuralModelFor_wBand.csv
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diff --git a/data/digitized/expData_zech_aStructuralModelFor_xBand.mat b/data/digitized/expData_zech_aStructuralModelFor_xBand.mat
new file mode 100644
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diff --git a/data/extracted/zech_p46_oopEseem_expData.csv b/data/digitized/zech_p46_oopEseem_expData.csv
similarity index 100%
rename from data/extracted/zech_p46_oopEseem_expData.csv
rename to data/digitized/zech_p46_oopEseem_expData.csv
diff --git a/data/extracted/zech_p46_oopEseem_fit.csv b/data/digitized/zech_p46_oopEseem_fit.csv
similarity index 100%
rename from data/extracted/zech_p46_oopEseem_fit.csv
rename to data/digitized/zech_p46_oopEseem_fit.csv
diff --git a/zech_gBroadening_leastSquareFit.asv b/zech_gBroadening_leastSquareFit.asv
new file mode 100644
index 0000000..eb9a203
--- /dev/null
+++ b/zech_gBroadening_leastSquareFit.asv
@@ -0,0 +1,380 @@
+%
+clearvars
+addpath(genpath('S:\soft\matlab\'))
+addpath(genpath('/net/storage/gianlum33/soft/matlab/'))
+
+%% Easyspin simulation
+
+% Taken from Easyspin example
+Sys.S = [1/2 1/2];
+Sys.g = [2.0030 2.0026 2.0023; ... % P700+
+         2.0062 2.0051 2.0022];    % 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)
+
+%% 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 = 3;
+mySys.A = [0, 0, 0, 9, 9.4, 12.8];  % MHz
+mySys.AFrame = [0 0 0 60 -90 0]*pi/180;
+mySys.lw1 = 3.785;  % mT
+mySys.lw1 = 1.5;  % mT
+mySys.lw2 = 0.323;  % mT
+mySys.lw2 = 0.35;  % mT
+% mySys.mwFreq = mwFreq;
+% mySys.x = fieldAxis;
+mySys.nTheta = 20;
+mySys.nPhi = 10;
+
+% tic
+% [myySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(mySys);
+
+% myySim = mytrepr(mySys);
+% toc
+
+% hold on
+% plot(fieldAxis, myySim)
+
+% FitOpt.maxTime = 0.1;
+FitOpt.TolFun = 1e-4;
+FitOpt.TolEdgeLength = 1e-4;
+FitOpt.CalculateUncertainties = 0;
+
+% load('S:/projects/zech_psi/data/processed/ZePSI-E-007015.mat');
+% % clf
+% % h = ScrollableAxes();
+% % plot(h, x{2}, x{1}, y');
+% xdata = x{2}/10;  % mT
+% ydata = y(500, :);
+% ydata = ydata/max(abs(ydata));
+% 
+% clf
+% plot(ydata)
+% hold on
+% plot(myySim)
+
+%%
+
+pathFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/" + ...
+    "data/digitized/";
+pathX = pathFolder + "expData_zech_aStructuralModelFor_xBand.mat";
+pathQ = pathFolder + "expData_zech_aStructuralModelFor_qBand.mat";
+pathW = pathFolder + "expData_zech_aStructuralModelFor_wBand.mat";
+
+importedData = load(pathX);
+xX = importedData.x;
+yX = importedData.y;
+importedData = load(pathQ);
+xQ = importedData.x;
+yQ = importedData.y;
+importedData = load(pathW);
+xW = importedData.x;
+yW = importedData.y;
+
+
+Vary.lw1 = 1;
+Vary.lw2 = 0.3;
+
+ydata = {yX, yQ};
+mySys.mwFreqX = 9.7;
+mySys.mwFreqQ = 34;
+mySys.xX = fieldAxis;
+mySys.xQ = fieldAxis*mySys.mwFreqQ/mySys.mwFreqQ;
+
+tic
+ySim = mytreprXQW(mySys);
+%Fit = 
+% esfit(ydata, @mytreprXQW, {mySys}, {Vary}, FitOpt);
+toc
+%%
+clf
+plot(ydata)
+hold on
+plot(Fit.fit)
+
+ydata = {yX, yQ};
+
+
+%%
+
+function data = mytreprXQW(Sys)
+Sys.mwFreq = Sys.mwFreqX;
+Sys.x = Sys.xX;
+data{1} = mytrepr(Sys);
+Sys.mwFreq = Sys.mwFreqQ;
+Sys.x = Sys.xQ;
+data{2} = mytrepr(Sys);
+% Sys.mwFreq = Sys.mwFreqW;
+% Sys.x = Sys.xW;
+% data{3} = mytrepr(Sys);
+end
+
+% function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys)
+function ySim = mytrepr(Sys)
+    fieldAxis = Sys.x;
+    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 = w2gFunc(Bmean, lw1);
+    glw2 = w2gFunc(Bmean, lw2);
+    % Spacing between g-values
+    dgax1 = glw1 / 20;
+    dgax2 = glw2 / 20;
+    resLw = min(lw1, lw2)*6e-1*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 = rotatematrix(diag(Sys.g(1, :)), Sys.gFrame(1, :));
+    g1 = sqrt( sum( (g1Tensor*nVers).^2, 1));
+    g2Tensor = rotatematrix(diag(Sys.g(2, :)), Sys.gFrame(2, :));    
+    g2 = sqrt( sum( (g2Tensor*nVers).^2, 1));
+    % Dipolar interaction
+    zD = erot(Sys.eeFrame)*[0, 0, 1]';
+    dd = dipFunc(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));
+
+        %{
+        [gax, gInh1, gInh2] = ...
+            creategaxis(g1(ii), g2(ii), glw1, glw2, dgax2);
+        ngax = numel(gax);
+        % "Probability matrix" of a certain spin interacting with another
+        gaussianFactor = gInh1'*gInh2;
+        gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all');
+        [gaussianFactor, idxs1, idxs2] = restrictgaussianfactor(...
+            gaussianFactor, gInh1, gInh2);
+        gaussianFactor = gaussianFactor(:)';
+
+        gPlus = 1/2*(repmat(gax', [1, ngax]) + repmat(gax, [ngax, 1]));
+        gPlus = gPlus(idxs1, idxs2);
+        gPlus = gPlus(:)';
+        gMinus = 1/2*(repmat(gax', [1, ngax]) - repmat(gax, [ngax, 1]));
+        gMinus = gMinus(idxs1, idxs2);
+        gMinus = gMinus(:)';
+        %}
+       
+        %%{
+        [gax1, gInh1] = creategaxis2(g1(ii), glw1, dgax1);
+        [gax2, gInh2] = creategaxis2(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_ = g2wFunc(fieldAxis', gPlus);
+        deltaw_ = g2wFunc(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__ = gaussianbs(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 freq = g2wFunc(B0, g)
+    % Expected input: B0 in mT
+    % Output: frequency nu in MHz
+    freq = bmagn*B0/planck*g*1e-9;
+end
+
+function g = w2gFunc(B0, freq)
+    % Expected input: B0 in mT
+    % Output: frequency nu in MHz
+    g = planck/bmagn/B0*freq*1e9;
+end
+
+function dd = dipFunc(dip, nVers, zD)
+    % 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
+    dd = dip*((sum(nVers.*zD)).^2 - 1/3);
+end
+
+function [thetas, phis] = createthetaphigrid(nTheta, nPhi)
+    
+    thetas = linspace(0, 180, nTheta + 2)*pi/180;
+    thetas = thetas(2:end - 1);
+    thetas = thetas';
+    phis = linspace(0, 180, nPhi + 1)*pi/180;
+    phis = phis(1:end - 1);
+    
+end
+
+function newMat = rotatematrix(mat, euAngles)
+    % newMat = R*mat*transpose(R)
+    % euAngles are the ones given in the Easyspin convention
+    
+    euMatrix = erot(euAngles)';
+    newMat = euMatrix*mat*transpose(euMatrix);
+    
+end
+
+function [APlus, AMinus] = calculateaplusaminusnohfi(A, AFrame, nVers)
+    % For spin 1
+    Ahfi1Tensor = rotatematrix(diag(A(1, 1:3)), AFrame(1, 1:3));
+    Ahfi1 = squeeze( ...
+        sqrt( sum( (pagemtimes(Ahfi1Tensor', nVers)).^2)));
+    % For spin 2
+    Ahfi2Tensor = rotatematrix(diag(A(1, 4:6)), AFrame(1, 4:6));
+    Ahfi2 = squeeze( ...
+        sqrt( sum( (pagemtimes(Ahfi2Tensor', nVers)).^2)));
+
+    APlus = (Ahfi1 + Ahfi2)/2;  % MHz
+    AMinus = (Ahfi1 - Ahfi2)/2;  % MHz
+end
+
+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);
+end
+
+function [gax, gInh] = creategaxis2(g, glw, dgax)
+    % Here glw1 and glw2 are the lwpp, therefore the variance will be
+    % lwpp*2
+    gax = (g - glw):dgax:(g + glw);
+    
+    % Inhomogeneously broadened gaussian distributions
+    normTerm = sqrt(2/pi)/glw;
+    gInh = normTerm*exp(-2 * (gax - g).^2 ./ glw^2);
+    gInh = gaussian(gax, g, glw);
+
+
+end
+
+function [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2)
+    [~, idxMax1] = max(xx1);
+    [~, idxMax2] = max(xx2);
+    [~, idxFwhm1] = min(abs(matr(:, idxMax2) - max(matr(:))/2));
+    idxDxFwhm1 = abs(idxMax1 - idxFwhm1);
+    [~, idxFwhm2] = min(abs(matr(idxMax1, :) - max(matr(:))/2));
+    idxDxFwhm2 = abs(idxMax2 - idxFwhm2);
+    
+    xxFactor = 2;
+    dx1 = round(xxFactor*idxDxFwhm1);
+    dx2 = round(xxFactor*idxDxFwhm2);
+    idxs1 = max(idxMax1 - dx1, 1):...
+            min(idxMax1 + dx1, numel(xx1));
+    idxs2 = max(idxMax2 - dx2, 1):...
+            min(idxMax2 + dx2, numel(xx1));
+    newMatr = matr(idxs1, idxs2);
+end
+
+function y1 = gaussianbs(wReson, mwFreq, c, mode)
+    arguments
+        wReson
+        mwFreq  
+        c    (1, 1) double     
+        mode string = "lwpp"
+    end    
+
+    normTerm = sqrt(2/pi)/c;
+    y1 = normTerm*exp(-2 * (wReson - mwFreq).^2 ./ c^2);
+
+end
diff --git a/zech_gBroadening_leastSquareFit.m b/zech_gBroadening_leastSquareFit.m
index f3f440b..173851c 100755
--- a/zech_gBroadening_leastSquareFit.m
+++ b/zech_gBroadening_leastSquareFit.m
@@ -17,7 +17,7 @@ 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(343.6, 347.6, 501);  % GHz
+fieldAxis = linspace(343.635, 347.635, 301);  % GHz
 mwFreq = 9.7;  % GHz
 
 Opt.GridSize = [91 0];
@@ -44,25 +44,63 @@ mySys.gFrame = Sys.gFrame;
 mySys.dip = mt2mhz(-0.170);  % MHz
 mySys.J = mt2mhz(1e-3);  % MHz
 mySys.eeFrame = Sys.eeFrame;
-mySys.lw1 = 0.35;  % mT
+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.lw1 = 3.785;  % mT
+mySys.lw1 = 1.5;  % mT
+mySys.lw2 = 0.323;  % mT
 mySys.lw2 = 0.35;  % mT
 mySys.mwFreq = mwFreq;
 mySys.x = fieldAxis;
 mySys.nTheta = 20;
-mySys.nPhi = 20;
+mySys.nPhi = 10;
+
+% tic
+% [myySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(mySys);
 
-tic
 myySim = mytrepr(mySys);
-toc
+% toc
+
+% hold on
+% plot(fieldAxis, myySim)
 
+% FitOpt.maxTime = 0.1;
+FitOpt.TolFun = 1e-4;
+FitOpt.TolEdgeLength = 1e-4;
+FitOpt.CalculateUncertainties = 0;
+
+load('S:/projects/zech_psi/data/processed/ZePSI-E-007015.mat');
+% clf
+% h = ScrollableAxes();
+% plot(h, x{2}, x{1}, y');
+xdata = x{2}/10;  % mT
+ydata = y(500, :);
+ydata = ydata/max(abs(ydata));
+
+clf
+plot(ydata)
 hold on
-plot(fieldAxis, myySim)
+plot(myySim)
 
+%%
+
+Vary.lw1 = 1;
+Vary.lw2 = 0.3;
+
+tic
+% Fit = esfit(ydata, @mytrepr, {mySys}, {Vary}, FitOpt);
+toc
+
+clf
+plot(ydata)
+hold on
+plot(Fit.fit)
 
 %%
 
+% function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys)
 function ySim = mytrepr(Sys)
-
     fieldAxis = Sys.x;
     Bmean = mean(fieldAxis);
     dip = Sys.dip;
@@ -84,9 +122,9 @@ function ySim = mytrepr(Sys)
     glw1 = w2gFunc(Bmean, lw1);
     glw2 = w2gFunc(Bmean, lw2);
     % Spacing between g-values
-    dgax = min(glw1, glw2) / 10;
-    resLw = min(lw1, lw2)*1e-1*1e-3;  % GHz
-
+    dgax1 = glw1 / 20;
+    dgax2 = glw2 / 20;
+    resLw = min(lw1, lw2)*6e-1*1e-3;  % GHz
     
     % Grid
     [thetas, phis] = createthetaphigrid(nTheta, nPhi);
@@ -114,16 +152,17 @@ function ySim = mytrepr(Sys)
     ySim = zeros(numel(fieldAxis), 1);
     parfor ii = 1:nSolidAngle
         nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi));
+
+        %{
         [gax, gInh1, gInh2] = ...
-            creategaxis(g1(ii), g2(ii), glw1, glw2, dgax);
+            creategaxis(g1(ii), g2(ii), glw1, glw2, dgax2);
         ngax = numel(gax);
-
         % "Probability matrix" of a certain spin interacting with another
-        gaussianFactors = gInh1'*gInh2;
-        gaussianFactors = gaussianFactors/sum(gaussianFactors, 'all');
-        [gaussianFactors, idxs1, idxs2] = restrictgaussianfactors(...
-            gaussianFactors, gInh1, gInh2);
-        gaussianFactors = gaussianFactors(:)';
+        gaussianFactor = gInh1'*gInh2;
+        gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all');
+        [gaussianFactor, idxs1, idxs2] = restrictgaussianfactor(...
+            gaussianFactor, gInh1, gInh2);
+        gaussianFactor = gaussianFactor(:)';
 
         gPlus = 1/2*(repmat(gax', [1, ngax]) + repmat(gax, [ngax, 1]));
         gPlus = gPlus(idxs1, idxs2);
@@ -131,6 +170,24 @@ function ySim = mytrepr(Sys)
         gMinus = 1/2*(repmat(gax', [1, ngax]) - repmat(gax, [ngax, 1]));
         gMinus = gMinus(idxs1, idxs2);
         gMinus = gMinus(:)';
+        %}
+       
+        %%{
+        [gax1, gInh1] = creategaxis2(g1(ii), glw1, dgax1);
+        [gax2, gInh2] = creategaxis2(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_ = g2wFunc(fieldAxis', gPlus);
         deltaw_ = g2wFunc(fieldAxis', gMinus);
         sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 );
@@ -159,12 +216,13 @@ function ySim = mytrepr(Sys)
                     (deltaw__.^2)./(Omega__.^2);
                 trSignal__ = gaussianbs(wReson*1e-3, mwFreq, resLw, "lwpp");
                 trSignal__ = intensityReson.*trSignal__*...
-                    pascalFactor(ihfi).*gaussianFactors;
+                    pascalFactor(ihfi).*gaussianFactor;
                 ySim = ySim + sum(trSignal__, 2)*sintheta_;
             end
         end
-
+        %}
     end
+    %}
     ySim = ySim/max(abs(ySim));
 
 end
@@ -237,8 +295,20 @@ function [gax, gInh1, gInh2] = creategaxis(g1, g2, glw1, glw2, dgax)
     gInh2 = gaussian(gax, g2, glw2);
 end
 
+function [gax, gInh] = creategaxis2(g, glw, dgax)
+    % Here glw1 and glw2 are the lwpp, therefore the variance will be
+    % lwpp*2
+    gax = (g - glw):dgax:(g + glw);
+    
+    % Inhomogeneously broadened gaussian distributions
+    normTerm = sqrt(2/pi)/glw;
+    gInh = normTerm*exp(-2 * (gax - g).^2 ./ glw^2);
+    gInh = gaussian(gax, g, glw);
+
+
+end
 
-function [newMatr, idxs1, idxs2] = restrictgaussianfactors(matr, xx1, xx2)
+function [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2)
     [~, idxMax1] = max(xx1);
     [~, idxMax2] = max(xx2);
     [~, idxFwhm1] = min(abs(matr(:, idxMax2) - max(matr(:))/2));
-- 
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