Vortex Lens

[Damian Marek]

Attached is a Matlab program that models a vortex lens. After simulating look at the Phase of the Spatial Signal.

Attachments:

1. Matlab-Vortex-lens.osd
2. vortex.m

[Damian Marek]

Matlab code follows:

OutputPort1 = InputPort1;

m_dRefractiveIndex = 2;
M_PI = pi;
m_dWavelength = 850e-9;
m_dFocus = 1e-3;
m_dVortexParameter = 4;

s = size(OutputPort1.Sampled.Spatial.ModeX.Amplitude);

k = s(1);
l = s(2);

dSpaceX = OutputPort1.Sampled.Spatial.ModeX.DeltaSpaceX;
dSpaceY = OutputPort1.Sampled.Spatial.ModeX.DeltaSpaceY;

dLengthX = k * dSpaceX;
dLengthY = l * dSpaceY;

for m = 1:k
for n = 1:l

dX = (m – 1 )* dSpaceX – dLengthX / 2;
dY = (n – 1 )* dSpaceY – dLengthY / 2;

dRadiusPow = dX * dX + dY * dY;
dAngle = atan2( dX , dY );
dValue = m_dRefractiveIndex * M_PI * dRadiusPow / ( 2 * m_dWavelength * m_dFocus ) + m_dVortexParameter * dAngle;

OutputPort1.Sampled.Spatial.ModeX.Amplitude(m,n) = InputPort1.Sampled.Spatial.ModeX.Amplitude(m,n) * exp( i * dValue );
end
end

%contourf(angle(OutputPort1.Sampled.Spatial.ModeX.Amplitude))

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