Virginia TechBesieris, Ioannis M.2014-04-092014-04-091978-12-01Besieris, I. M., "beam propagation in focusing media with random axis misalignments: second-order and higher-order moments," J. Math. Phys. 19, 2533 (1978); http://dx.doi.org/10.1063/1.5236370022-2488http://hdl.handle.net/10919/47027A 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.application/pdfenIn CopyrightProbability theoryArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/19/12/10.1063/1.523637https://doi.org/10.1063/1.523637