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Proceedings Paper

Zernike expansions for non-Kolmogorov turbulence
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Paper 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.

Paper Details

Date Published: 5 February 1996
PDF: 8 pages
Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); doi: 10.1117/12.231063
Show Author Affiliations
Glenn D. Boreman, CREOL/Univ. of Central Florida (United States)
Christopher Dainty, Imperial College of Science, Technology, and Medicine (United Kingdom)


Published in SPIE Proceedings Vol. 2730:
Second Iberoamerican Meeting on Optics
Daniel Malacara-Hernandez; Sofia E. Acosta-Ortiz; Ramon Rodriguez-Vera; Zacarias Malacara; Arquimedes A. Morales, Editor(s)

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