Zernike Expansions For Non-Kolmogorov Turbulence

    Authors

    G. D. Boreman;C. Dainty

    Comments

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    Abbreviated Journal Title

    J. Opt. Soc. Am. A-Opt. Image Sci. Vis.

    Keywords

    atmospheric turbulence; Zernike polynomials; non-Kolmogorov; adaptive; optics; ATMOSPHERIC-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 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 Karman 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.

    Journal Title

    Journal of the Optical Society of America a-Optics Image Science and Vision

    Volume

    13

    Issue/Number

    3

    Publication Date

    1-1-1996

    Document Type

    Article

    Language

    English

    First Page

    517

    Last Page

    522

    WOS Identifier

    WOS:A1996TV77500014

    ISSN

    0740-3232

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