Beam propagation in focusing media with random-axis misalignments: Second- and higher-order moments

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Abstract
A novel statistical technique which allows the asymptotic evaluation of second‐ and higher‐order averaged observables related to the stochastic complex parabolic equation is applied to the problem of beam propagation in a focusing medium characterized by random‐axis misalignments. Analytical and numerical results concerning on‐ and off‐axis statistics (e.g., the variance of intensity fluctuations, modal power transfer, the probability distribution density of the log‐irradiance, etc.) are presented, and comparisons are made with previously reported findings.