Vol. 9, issue 11, article # 7

pdf Kanev F. Yu., Lukin V. P., Ershov A. V. Comparison of the simplex method with gradient algorithms for laser beam control. // Atmospheric and oceanic optics. 1996. V. 9. No. 11. P. 943-947.
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Abstract:

Efficiency and speed of correction for thermal blooming with the use of the simplex method, multidither algorithm, and modified multidither algorithm are compared. These algorithms can be considered as methods for finding an extremum of a function, so their characteristics are compared for the problem of finding a maximum of a given analytic function. The conclusions drawn here are verified by way of examination of the beam control in a linear medium (problem of optimal beam focusing) and beam correction for thermal blooming.