ZernikeCovariancePathWeight

MATLAB

W = ZernikeCovariancePathWeight(x,sigma,i,j,ni, nj, mi, mj)

Description

Computes weighting of Cn2 (turbulence strength) over propagation path for covariance of Zernike coefficients for the specified positions x normalized to the path length (0-1), and the accompanying aperture diameter normalized beam separation vector sigma. Path weighting is computed for the covariance of the ith and jth Zernike coefficients.

Parameters

Parameters	Description
x [vector]	Path position normalized to the path length
sigma [vector]	Separation of beam paths at each normalized point x along propagation path, normalized to the Tx/Rx aperture diameter
i..j [scalars]	Noll orders of the Zernike coefficients
ni..nj [scalars]	Radial orders corresponding to ith and jth Noll orders
mi..mj [scalars]	Azimuthal orders corresponding to ith and jth Noll orders

Return Values

Return Values	Description
W [vector]	Path weighting evaluated at normalized positions x.

Examples

>> x = (0.05:0.1:0.95)';

>> s = [linspace(0,1,length(x))' linspace(-0.5,0,length(x))'];

>> i = 2; [ni,mi] = ZernikeOrder(i);

>> j = 3; [nj,mj] = ZernikeOrder(j)

>> W = ZernikeCovariancePathWeight(x,s./1.0,i,j, ni, nj, mi, mj)

Path weighting of cross correlation of the ith and jth Zernike coefficents for separation vector s and Tx/Rx aperture diameter D. Matrix s can be computed using PathDisp and x represents normalized positions along path, i.e., Atm.z./Atm.L.