7 December 1998 Orthogonal expansions of the phase of random wave fields
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Authors analyze a representation of random wave phase in different bases: the orthogonal Karhunen-Loeve-Obukhov (KLO) functions, Zernike polynomials, discrete Walsh functions, and Haar wavelets. To calculate functions of the optimal KLO basis for the Kolmogorov atmospheric turbulence the effective approach developed by the authors is used. The statistical criteria of the optical system performance, as the phase error variance, Shtrehl radio, and others, are calculated in numerical experiment.
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Viktor A. Banakh, Viktor A. Banakh, Yusup N. Isaev, Yusup N. Isaev, Elena V. Zakharova, Elena V. Zakharova, "Orthogonal expansions of the phase of random wave fields", Proc. SPIE 3494, Atmospheric Propagation, Adaptive Systems, and Lidar Techniques for Remote Sensing II, (7 December 1998); doi: 10.1117/12.332412; https://doi.org/10.1117/12.332412

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