104 lines
5.8 KiB
Matlab
104 lines
5.8 KiB
Matlab
function ret = calculateTotalAcceleration(this, PositionVector, VelocityVector)
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CoolingBeamObj = this.Beams{cellfun(@(x) strcmpi(x.Alias, 'Blue'), this.Beams)};
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CoolingBeamDetuning = CoolingBeamObj.Detuning;
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CoolingBeamRadius = CoolingBeamObj.Radius;
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CoolingBeamWaist = CoolingBeamObj.Waist;
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CoolingBeamWaveNumber = CoolingBeamObj.WaveNumber;
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CoolingBeamLinewidth = CoolingBeamObj.Linewidth;
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CoolingBeamSaturationParameter = CoolingBeamObj.SaturationParameter;
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SidebandBeamObj = this.Beams{cellfun(@(x) strcmpi(x.Alias, 'BlueSideband'), this.Beams)};
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SidebandDetuning = SidebandBeamObj.Detuning;
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SidebandBeamRadius = SidebandBeamObj.Radius;
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SidebandBeamWaist = SidebandBeamObj.Waist;
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SidebandSaturationParameter = SidebandBeamObj.SaturationParameter;
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WaveVectorEndPoint = zeros(2,3);
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WaveVectorEndPoint(1,:) = [1,0,1];
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WaveVectorEndPoint(1,:) = WaveVectorEndPoint(1,1:3)/norm(WaveVectorEndPoint(1,:));
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WaveVectorEndPoint(2,:) = [-1,0,1];
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WaveVectorEndPoint(2,:) = WaveVectorEndPoint(2,1:3)/norm(WaveVectorEndPoint(2,:));
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Sigma = [1,-1];
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Origin = [0,0,0];
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% Calculate the Saturation Intensity at the specified point along its Gaussian Profile
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CoolingBeamLocalSaturationIntensity = [this.calculateLocalSaturationIntensity(0.25 * CoolingBeamSaturationParameter, PositionVector, Origin, WaveVectorEndPoint(1,:), CoolingBeamRadius, CoolingBeamWaist), ...
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this.calculateLocalSaturationIntensity(0.25 * CoolingBeamSaturationParameter, PositionVector, Origin, WaveVectorEndPoint(2,:), CoolingBeamRadius, CoolingBeamWaist)];
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SidebandLocalSaturationIntensity = [this.calculateLocalSaturationIntensity(0.25 * SidebandSaturationParameter, PositionVector, Origin, WaveVectorEndPoint(1,:), SidebandBeamRadius, SidebandBeamWaist), ...
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this.calculateLocalSaturationIntensity(0.25 * SidebandSaturationParameter, PositionVector, Origin, WaveVectorEndPoint(2,:), SidebandBeamRadius, SidebandBeamWaist)];
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TotalAcceleration = zeros(1,3);
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Delta_Cooling = [0,0,0,0];
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Delta_Sideband = [0,0,0,0];
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for i = 1:2
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LocalMagneticField = this.magneticFieldForMOT(PositionVector);
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B = sign(dot(LocalMagneticField(1:3), WaveVectorEndPoint(i,:))) * LocalMagneticField(4);
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ZeemanShift = this.LandegFactor * this.MagneticSubLevel * (Helper.PhysicsConstants.BohrMagneton / Helper.PhysicsConstants.PlanckConstantReduced) * B;
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DopplerShift = dot(WaveVectorEndPoint(i,:), VelocityVector) * CoolingBeamWaveNumber;
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Delta_Cooling(i*2-1) = CoolingBeamDetuning + DopplerShift + (ZeemanShift * Sigma(i));
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Delta_Cooling(i*2) = CoolingBeamDetuning - DopplerShift - (ZeemanShift * Sigma(i));
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if this.SidebandBeam
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Delta_Sideband(i*2-1) = SidebandDetuning + DopplerShift + (ZeemanShift * Sigma(i));
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Delta_Sideband(i*2) = SidebandDetuning - DopplerShift - (ZeemanShift * Sigma(i));
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end
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end
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SaturationParameter = [0,0,0,0,0,0,0,0];
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for i = 1:2
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SaturationParameter(2*i-1) = CoolingBeamLocalSaturationIntensity(i) /(1 + 4 * (Delta_Cooling(2*i-1)/CoolingBeamLinewidth)^2);
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SaturationParameter(2*i) = CoolingBeamLocalSaturationIntensity(i) /(1 + 4 * (Delta_Cooling(2*i) /CoolingBeamLinewidth)^2);
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if this.SidebandBeam
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SaturationParameter(2*i-1+4) = SidebandLocalSaturationIntensity(i) /(1 + 4 * (Delta_Sideband(2*i-1)/CoolingBeamLinewidth)^2);
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SaturationParameter(2*i+4) = SidebandLocalSaturationIntensity(i) /(1 + 4 * (Delta_Sideband(2*i)/CoolingBeamLinewidth)^2);
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end
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end
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TotalSaturationParameter = sum(SaturationParameter);
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for i = 1:2
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a_sat = (Helper.PhysicsConstants.PlanckConstantReduced * CoolingBeamWaveNumber * WaveVectorEndPoint(i,1:3)/Helper.PhysicsConstants.Dy164Mass).*(CoolingBeamLinewidth * 0.5);
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a_1 = a_sat .* (SaturationParameter(2*i-1)/(1 + TotalSaturationParameter));
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a_2 = a_sat .* (SaturationParameter(2*i) /(1 + TotalSaturationParameter));
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if this.SpontaneousEmission
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a_scattering = this.accelerationDueToSpontaneousEmissionProcess(SaturationParameter(2*i-1), TotalSaturationParameter, CoolingBeamLinewidth, CoolingBeamWaveNumber) + ...
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this.accelerationDueToSpontaneousEmissionProcess(SaturationParameter(2*i), TotalSaturationParameter, CoolingBeamLinewidth, CoolingBeamWaveNumber);
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else
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a_scattering = [0,0,0];
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end
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if this.SidebandBeam
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a_1 = a_1 + a_sat .* (SaturationParameter(2*i-1+4)/(1 + TotalSaturationParameter));
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a_2 = a_2 + a_sat .* (SaturationParameter(2*i+4) /(1 + TotalSaturationParameter));
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if this.SpontaneousEmission
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a_scattering = a_scattering + ...
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this.accelerationDueToSpontaneousEmissionProcess(SaturationParameter(2*i-1+4), TotalSaturationParameter, CoolingBeamLinewidth, CoolingBeamWaveNumber) + ...
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this.accelerationDueToSpontaneousEmissionProcess(SaturationParameter(2*i+4), TotalSaturationParameter, CoolingBeamLinewidth, CoolingBeamWaveNumber);
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else
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a_scattering = [0,0,0];
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end
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end
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TotalAcceleration = TotalAcceleration + (a_2 - a_1) + a_scattering;
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end
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if this.PushBeam
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TotalAcceleration = TotalAcceleration + this.accelerationDueToPushBeam(PositionVector, VelocityVector);
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end
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ret = TotalAcceleration(1:3);
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end |