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Application of Zernike polynomials to atmospheric propagation problems

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Abstract

Zernike polynomials are used in the study of single- and multiple-circular-aperture optical systems that are affected by atmosphere turbulence. Expressions for mean-square wave-front distortion, correlation functions, Zernike covariance coefficients, and anisoplanatism are derived and calculated for Kolmogorov atmospheric statistics. The mathematical tools provided here, however, can readily be extended to non-Kolmogorov turbulence spectra.

© 1989 Optical Society of America

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