ZernikeCoefficient

MATLAB

c_out = ZernikeCoefficient(p,c,r,t)

Computes Zernike coefficients for given Zernike modes when provided with the phase screen and radial coordinates.

Parameters	Description
p [matrix]	Phase screen
c [vector]	Zernike modes for which coefficients are to be computed
r [matrix]	Radius values
t [matrix]	Theta values

Return Values	Description
c_out [vector]	Zernike coefficients corresponding to each input mode

>> x = ((1:64)-(64/2+1))*0.01;

>> [y,x] = meshgrid(x,x);

>> rad = sqrt(x.^2+y.^2);

>> theta = atan2(y,x);

>> ApRad = 0.25;

>> mask = (rad<=ApRad);

>> rho = rad./ApRad;

>> z = ZernikePolynomial(5,rho,theta);

>> c = ZernikeCoefficient(z.*mask,[2:11],rho,theta)

Setup a mesh to compute a phase screen using ZernikePolynomial and use this to extract coefficients.