Vol. 11, issue 05, article # 4

pdf Isaev Yu. N., Zakharova E. V. Synthesis of the optimal basis to reconstruct random wave fields. // Atmospheric and oceanic optics. 1998. V. 11. No. 05. P. 393-396.
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We present algorithms for calculating the transformation matrixes that relate the coefficients of the optimal Karhunen-Loeve-Obukhov basis to those of the Walsh and Haar bases in the series expansions of the optical wave phase. In so doing, we have made numerical simulations for Kolmogorov spectrum of turbulence and round receiving aperture. Analysis of the numerical results shows that the algorithms developed allow the transformation matrixes to be calculated with the accuracy that could suit the control of the wave fronts.