NollMatrix

MATLAB

ZernikeCov = NollMatrix(N)

Description

Computes covariance matrix of Zernike polynomials with N >= 2 for propagation through Kolmogorov turbulence (no anisoplanatism). Diagonal elements are the modal variance of each atmospheric Zernike mode.

Parameters

Parameters	Description
N [scalar]	Maximum Zernike order (Noll's ordering)

Return Values

Return Values	Description
ZernikeCov [matrix]	Covariance matrix for Zernike polynomials 2:N normalized to $(D/r_0)^{5/3}$

References

R. J. Noll, Zernike Polynomials and Atmospheric Turbulence, J. Opt. Soc. Am., vol. 66, pp. 207-211, 1976.