Title

Zernike Expansions For Non-Kolmogorov Turbulence

Abstract

We investigate the expression of non-Kolmogorov turbulence in terms of Zernike polynomials. Increasing the power-law exponent of the three-dimensional phase power spectrum from 2 to 4 results in a higher proportion of wavefront energy being contained in the tilt components. Closed-form expressions are given for the variances of the Zernike coefficients in this range. For exponents greater than 4, a von Karman spectrum is used to numerically compute the variances as a function of exponent for different outer-scale lengths. We find in this range that the Zernike-coefficient variances depend more strongly on outer scale than on exponent, and that longer outer-scale lengths lead to more energy in the tilt terms. The scaling of Zernike- coefficient variances with pupil diameter is an explicit function of the exponent.

Publication Date

1-1-1996

Publication Title

Proceedings of SPIE - The International Society for Optical Engineering

Volume

2730

Number of Pages

192-199

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0029777924 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0029777924

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