Title

Zernike Expansions For Non-Kolmogorov Turbulence

Keywords

Adaptive optics; Atmospheric turbulence; Non-Kolmogorov; Zernike polynomials

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 wave-front 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 Kármán spectrum is used to compute the variances numerically 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. © 1996 Optical Society of America.

Publication Date

1-1-1996

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

13

Issue

3

Number of Pages

517-522

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.13.000517

Socpus ID

0001204136 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0001204136

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