Plane wave DFG
Simulation of DFG for plane waves.
Contents
Initialize
close all; % Close all figures clear all; % Clear all variabels clc; % Clear command window tic
Parameters
Tolerance.Abs = 1e-4; % Absolute tolerence Tolerance.Rel = 1e-5; % Relative tolerence Area = pi*(40e-6)^2; Signal.P0 = 1e6*Area; % Signal peak power Idler.P0 = Signal.P0; % Idler peak power Pump.P0 = linspace(0.1,60,100).*1e3; % Pump peak power zsteps = 5000; % Number of z-steps zlength = 60e-3; %Length of nonlinear crystal in [m] plotindex = 7; % Pump.P0(n) to plot in fig 3+4 QPM = 1; % Use QPM or effective QPM QPMtype = 'eff'; % Type of QPM: domain og eff.
Allocate memory
Signal.P = zeros(size(Pump.P0,2),zsteps); Idler.P = zeros(size(Pump.P0,2),zsteps); Pump.P = zeros(size(Pump.P0,2),zsteps); Total.P = zeros(size(Pump.P0,2),zsteps); Signal.N = zeros(size(Pump.P0,2),zsteps); Idler.N = zeros(size(Pump.P0,2),zsteps); Pump.N = zeros(size(Pump.P0,2),zsteps); Total.N = zeros(size(Pump.P0,2),zsteps);
Run simulation
progressbar; % Initialize processbar for nn=1:size(Pump.P0,2) % Run a 'ScalarDFG' simulation [z, output1, output2, output3, output4, output5, output6, output7, ... output8] = ScalarDFG(Tolerance.Abs, Tolerance.Rel, Signal.P0, ... Idler.P0, Pump.P0(nn),zsteps,zlength,QPM,QPMtype); % Save the calculated powers for signal and pump. Signal.P(nn,:) = output1; Idler.P(nn,:) = output2; Pump.P(nn,:) = output3; Total.P(nn,:) = output4; Signal.N(nn,:) = output5; Idler.N(nn,:) = output6; Pump.N(nn,:) = output7; Total.N(nn,:) = output8; % Update processbar progressbar( nn/size(Pump.P0,2) ); end toc
Elapsed time is 23.956542 seconds.
Find efficiency and ignore the multiple depletion cycles
Efficiency.values = Signal.P(:,:) ./repmat(Pump.P(:,1),1,size(Signal.P,2)); Efficiency.values( floor(size(Efficiency.values,1)/2):end ... ,floor(size(Efficiency.values,2)*2/3):end) ... = 0; [Efficiency.max.value, Efficiency.max.location] = max(Efficiency.values,[],2); %test = sub2ind(size(Efficiency.values),1:size(Signal.P,1),transpose(Efficiency.max.location)); %Efficiency.max.plot = Efficiency.values(test);
Save workspace
%save(['Workspace-PowerPlaneWave',datestr(now, 'yyyy-mm-dd-HH-MM-SS')]);
Plots
FontSize = 18; % waterfall plots of the pump at the different pump powers figure(1) w1 = waterfall(z(1:10:zsteps), Pump.P0.*1e-3, Signal.P(:,1:10:zsteps)./Area .*1e-9 ); title('Signal','Interpreter','latex','FontSize',FontSize+6); xlabel('$z~[mm]$','Interpreter','latex','FontSize',FontSize); ylabel('$P_p~[kW]$','Interpreter','latex','FontSize',FontSize); zlabel('$I_p~[GW/m^2]$','Interpreter','latex','FontSize',FontSize); set(w1,'edgecolor','k'); view([-40 50]); set(gca, 'Units', 'normalized','Position', [0.13 0.22 0.8 0.65]); set(gca, 'Color', 'none'); % Sets axes background export_fig PlaneWavePropagationSignal -pdf -transparent; % waterfall plots of the signal at the different pump powers figure(2) w2 = waterfall(z(1:10:zsteps), Pump.P0.*1e-3, Pump.P(:,1:10:zsteps)./Area .*1e-9); title('Pump','Interpreter','latex','FontSize',FontSize+6); xlabel('$z~[mm]$','Interpreter','latex','FontSize',FontSize); ylabel('$P_p~[kW]$','Interpreter','latex','FontSize',FontSize); zlabel('$I_p~[GW/m^2]$','Interpreter','latex','FontSize',FontSize); set(w2,'edgecolor','k'); view([-40 50]); set(gca, 'Units', 'normalized','Position', [0.13 0.22 0.8 0.65]); set(gca, 'Color', 'none'); % Sets axes background export_fig PlaneWavePropagationPump -pdf -transparent; % Plots the number of photons figure(3) h3 = plot( ... z,Signal.N(plotindex,:)./Total.N(plotindex,1).*100,'-r', ... z,Idler.N(plotindex,:)./Total.N(plotindex,1).*100,'--g', ... z,Pump.N(plotindex,:)./Total.N(plotindex,1).*100,'-b', ... z,( Signal.N(plotindex,:) + Idler.N(plotindex,:) ... + Pump.N(plotindex,:) )./Total.N(plotindex,1).*100,'-k'); set(h3,'LineWidth',1.5); l3 = legend('$N_{signal}$','$N_{idler}$','$N_{pump}$','$N_{tot}$', ... 'Orientation','horizontal','Location','NorthOutside'); set(l3,'Interpreter','latex') axis([z(1) z(end) 0 210]); PlotSetAxisLabels('z [mm]','N [\%]',18); PlotSetFigureDimensions(1,5,16,10,0,0,0,0); PlotSetAxisProperties(5,3,20); set(gca, 'Units', 'normalized','Position', [0.15 0.22 0.8 0.55]); set(gca, 'Color', 'none'); % Sets axes background export_fig PlaneWavePropagationPhoton -pdf -transparent; % Plots the relative power figure(4) h4 = plot( ... z,Signal.P(plotindex,:)./Total.P(plotindex,1).*100,'-r', ... z,Idler.P(plotindex,:)./Total.P(plotindex,1).*100,'-g', ... z,Pump.P(plotindex,:)./Total.P(plotindex,1).*100,'-b', ... z,( Signal.P(plotindex,:) + Idler.P(plotindex,:) ... + Pump.P(plotindex,:) )./Total.P(plotindex,1).*100,'-k'); set(h4,'LineWidth',1.5); l4 = legend('$I_{signal}$','$I_{idler}$','$I_{pump}$','$I_{tot}$', ... 'Orientation','horizontal','Location','NorthOutside'); set(l4,'Interpreter','latex') axis([z(1) z(end) 0 110]); PlotSetAxisLabels('$z~[mm]$','$I~[\%]$',18); PlotSetFigureDimensions(1+16,5,16,10,0,0,0,0); PlotSetAxisProperties(5,3,20); set(gca, 'Units', 'normalized','Position', [0.15 0.22 0.8 0.55]); set(gca, 'Color', 'none'); % Sets axes background export_fig PlaneWavePropagationPowerRelative -pdf -transparent; % Plots the relative power figure(5) h5 = plot( ... z,Signal.P(plotindex,:)./Area .*1e-9,'-r', ... z,Idler.P(plotindex,:)./Area .*1e-9,'-g', ... z,Pump.P(plotindex,:)./Area .*1e-9,'-b', ... z,( Signal.P(plotindex,:) + Idler.P(plotindex,:) ... + Pump.P(plotindex,:) )./Area .*1e-9,'-k'); set(h5,'LineWidth',1.5); l5 = legend('$I_{signal}$','$I_{idler}$','$I_{pump}$','$I_{tot}$', ... 'Orientation','horizontal','Location','NorthOutside'); set(l5,'Interpreter','latex') axis([z(1) z(end) 0 1.1*max(Pump.P(plotindex,:)./Area .*1e-9)]); PlotSetAxisLabels('$z~[mm]$','$I~[GW/m^2]$',18); PlotSetFigureDimensions(1+2*16,5,16,10,0,0,0,0); PlotSetAxisProperties(5,3,20); set(gca, 'Units', 'normalized','Position', [0.2 0.22 0.75 0.55]); set(gca, 'Color', 'none'); % Sets axes background export_fig PlaneWavePropagationIrradiance -pdf -transparent;
Plots the efficiency
figure(6)
h6 = plot( ...
Pump.P0.*1e-3, Signal.P(:,end) ./ Pump.P(:,1));
set(h6,'LineWidth',1.5);
%axis([Pump.P081)*1e-3 Pump.P0(end)*1e-3 0 0.5]);
PlotSetAxisLabels('$P_p~[kW]$','$\gamma~[a.u.]$',18);
PlotSetFigureDimensions(1+16,5,16,10,0,0,0,0);
PlotSetAxisProperties(5,3,20);
set(gca, 'Units', 'normalized','Position', [0.15 0.22 0.8 0.65]);
set(gca, 'Color', 'none'); % Sets axes background
export_fig PlaneWaveEfficiency -pdf -transparent;
% Plots the max efficiency location
figure(7)
h7 = plot(Pump.P0.*1e-3, z(Efficiency.max.location));
set(h7,'LineWidth',1.5);
axis([Pump.P0(1)*1e-3 Pump.P0(end)*1e-3 0 1.1*max(z(Efficiency.max.location))]);
PlotSetAxisLabels('$P_p~[kW]$','$z~[mm]$',18);
PlotSetFigureDimensions(1+16,5,16,10,0,0,0,0);
PlotSetAxisProperties(5,3,20);
set(gca, 'Units', 'normalized','Position', [0.15 0.22 0.8 0.65]);
set(gca, 'Color', 'none'); % Sets axes background
export_fig PlaneWaveEfficiencyLocation -pdf -transparent;
