File Exchange

image thumbnail

hermite gaussian beam

version 1.0.0 (5.81 KB) by pratheeb N.P
here you can find hermite gaussian mode

5 Downloads

Updated 24 May 2019

View License

%this is an example script showing a use for the hermiteh function
%this script creates the Hermite-Gaussian 4,4 mode and displays it
w0=1; %2x the standard deviation of the gaussian
x0=linspace(-4,4,501);
[X,Y]=meshgrid(x0,x0); %create a grid of width 4 units x 4 units with 501x501 mesh
E0=exp(-(X.^2+Y.^2)/w0^2); %create the gaussian
A=hermiteH(2,sqrt(2)*X/w0).*hermiteH(0,sqrt(2)*Y/w0).*E0; %create the 16,16 hermite gaussian
%display the absoute value of the result
a=abs(A);
a=a./max(max(a));
imagesc(abs(a).^2);
function a=hermiteH(n,x)
%generate the nth hermite polynomial of x
m=0:floor(n/2);
[q1,q2]=size(m);
s=ndims(x);
[g1,g2]=size(x);
X=repmat(x,[ones(1,s),q1, q2]);
m=permute(repmat(m,[g1,1,g2]),[1,3,2]);
a=factorial(n)*sum((-1).^m./(factorial(m).*factorial(n-2*m)).*(2*X).^(n-2*m),3);
end

Cite As

pratheeb N.P (2021). hermite gaussian beam (https://www.mathworks.com/matlabcentral/fileexchange/71642-hermite-gaussian-beam), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (1)

alic rou

Worked greats after few modifications.

Thank you.

MATLAB Release Compatibility
Created with R2019a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Tags Add Tags
Acknowledgements

Inspired by: XMLTestRunDisplay

Inspired: Laurrenge gaussian modes

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!