NUMERICAL SOLUTIONS FOR THE FOURTH MOMENT OF A PLANE WAVE PROPAGATING IN A RANDOM MEDIUM.

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Abstract

Numerical solutions of the plane-wave fourth-moment differential equation are obtained for a two-dimensional homogeneous and isotropic random medium that is characterized by a Gaussian correlation function. Results show that the range dependence of the variance of the intensity fluctuations exhibits both saturation and focusing. In addition to the correlations of the intensity fluctuations, the full spatial dependence of the fourth moment of the propagating field is also described and compared with the Born and Tytov approximations (weak scattering) and with recent asymptotic results (strong scattering).

Original languageEnglish
Pages (from-to)1683-1691
Number of pages9
JournalJournal of the Optical Society of America
Volume72
Issue number12
DOIs
StatePublished - 1982

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