 # Use MatLab to plot the amplitude and phase of the following Gaussia...

## Question

Use MatLab to plot the amplitude and phase of the following Gaussian modes at the beamwaist. (a) TEM00 (HG00); (b) HG01; (c) HG11; (d) LG01; (e) LG11.

2. Computer Project: Use MatLab to plot the following field distributions (amplitude) at the beamwaist. (a) HG10 polarized at x direction; (b) HG01 polarized at y direction; (c) What happens if you add (a) and (b) together? Plot the intensity distribution and comment on the polarization of the combined beam; (d) Instead, if you add HG10 polarized at -y direction with HG01 polarized at x direction (we simply switched the polarization!), what would be the amplitude distribution and what happens to the polarization? (e) What if you add HG10 polarized in x direction with HG01 polarized in x direction as well, What would be the polarization of the superposed beam?”

## Solution Preview

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% preapring mesh grid
stepG = 0.2;
sizeG = 2;
x = -sizeG : stepG : sizeG;
y = -sizeG : stepG : sizeG;
[xx,yy] = meshgrid(x,y);

% Amplitude
% using eq (2.2) from gbmonograpgh
% taking A=1, w =1 for the amplitude
ampl = hermiteH(0,xx*sqrt(2)).*hermiteH(1,yy*sqrt(2)).*exp(-xx.^2-yy.^2)...

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