Zernike expansions for non-Kolmogorov turbulence

Glenn D. Boreman; Christopher Dainty

doi:10.1117/12.231063

5 February 1996 Zernike expansions for non-Kolmogorov turbulence

Proceedings Volume 2730, Second Iberoamerican Meeting on Optics; (1996) https://doi.org/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.

Citation Download Citation

Glenn D. Boreman and Christopher Dainty "Zernike expansions for non-Kolmogorov turbulence", Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); https://doi.org/10.1117/12.231063

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available