5 February 1996 Zernike expansions for non-Kolmogorov turbulence
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Proceedings Volume 2730, Second Iberoamerican Meeting on Optics; (1996); doi: 10.1117/12.231063
Event: Second Iberoamerican Meeting on Optics, 1995, Guanajuato, Mexico
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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Glenn D. Boreman, Christopher Dainty, "Zernike expansions for non-Kolmogorov turbulence", Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); doi: 10.1117/12.231063; https://doi.org/10.1117/12.231063
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KEYWORDS
Wavefronts

Turbulence

Zernike polynomials

Atmospheric turbulence

Laser optics

Adaptive optics

Electrical engineering

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