73 lines
3.3 KiB
Matlab
73 lines
3.3 KiB
Matlab
function plotInitialVeloctiySamplingVsAngle(obj, MOTObj, NumberOfBins)
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n = obj.NumberOfAtoms;
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VelocitySamples = obj.initialVelocitySampling(MOTObj);
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Speeds = zeros(length(VelocitySamples),1);
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Angles = zeros(length(VelocitySamples),1);
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for i=1:length(VelocitySamples)
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Speeds(i) = sqrt(VelocitySamples(i,1)^2+VelocitySamples(i,2)^2+VelocitySamples(i,3)^2);
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Angles(i) = acos(VelocitySamples(i,1)/Speeds(i));
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end
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SpeedsArray = linspace(0,obj.VelocityCutoff,5000);
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SpeedBinSize = obj.VelocityCutoff / NumberOfBins;
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VelocityDistribution = @(velocity) sqrt(2 / pi) * sqrt(Helper.PhysicsConstants.Dy164Mass/(Helper.PhysicsConstants.BoltzmannConstant * obj.OvenTemperatureinKelvin))^3 ...
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* velocity.^3 .* exp(-velocity.^2 .* (Helper.PhysicsConstants.Dy164Mass / (2 * Helper.PhysicsConstants.BoltzmannConstant ...
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* obj.OvenTemperatureinKelvin)));
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c = integral(VelocityDistribution, 0, obj.VelocityCutoff);
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AnglesArray = linspace(0, obj.ExitDivergence,1000);
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AngleBinSize = obj.ExitDivergence / NumberOfBins;
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dtheta = AnglesArray(2)-AnglesArray(1);
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AngularDistribution = zeros(1,length(AnglesArray));
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d = 0;
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for i = 1:length(AnglesArray)
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AngularDistribution(i) = obj.angularDistributionFunction(AnglesArray(i));
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d = d + (2 * pi * AngularDistribution(i) * sin(AnglesArray(i)) * dtheta);
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end
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AngularDistribution = AngularDistribution .* (2 * pi .* sin(AnglesArray));
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f_h = Helper.getFigureByTag('Velocity Sampling');
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set(groot,'CurrentFigure',f_h);
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a_h = get(f_h, 'CurrentAxes');
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if ~isempty(get(a_h, 'Children'))
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clf(f_h);
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end
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f_h.Name = 'Velocity Sampling';
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f_h.Units = 'pixels';
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set(0,'units','pixels');
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screensize = get(0,'ScreenSize');
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f_h.Position = [[screensize(3)/10 screensize(4)/4] 1570,600];
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subplot(1,2,1)
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h_1 = histogram(Speeds, NumberOfBins,'FaceAlpha',0.4, 'EdgeAlpha',0.4);
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hold on
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plot(SpeedsArray, n/c * SpeedBinSize .* VelocityDistribution(SpeedsArray),'--', 'Linewidth',1.5)
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xline(obj.VelocityCutoff, 'k--', 'Linewidth', 1.5);
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text((obj.VelocityCutoff - 0.2 * obj.VelocityCutoff), max(h_1.Values) + 0.01 * max(h_1.Values), 'Cut-Off ---------->');
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hXLabel_1 = xlabel('|v| (m/s)');
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hYLabel_1 = ylabel('Counts');
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hold off
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subplot(1,2,2)
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histogram(Angles .* 1e+03, NumberOfBins,'FaceAlpha',0.4, 'EdgeAlpha',0.4)
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hold on
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plot(AnglesArray .* 1e+03, (n/d * AngleBinSize .* AngularDistribution),'--', 'Linewidth',1.5)
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xline(obj.ExitDivergence.* 1e+03, 'k--', 'Linewidth', 1.5);
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text((obj.ExitDivergence - 0.5 * obj.ExitDivergence).* 1e+03, max(h_1.Values) - 0.45 * max(h_1.Values), 'Maximum Allowed Divergence ----------->');
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hXLabel_2 = xlabel('\theta (mrad)');
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hYLabel_2 = ylabel('Counts');
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hold off
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hTitle = sgtitle('Sampled Velocities');
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set([hXLabel_1, hXLabel_2, hYLabel_1, hYLabel_2] , ...
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'FontSize' , 14 );
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set( hTitle , ...
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'FontSize' , 18 );
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Helper.bringFiguresWithTagInForeground();
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end
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