Wave Intensity Fluctuations in a One Dimensional Discrete Random Medium
The propagation of electromagnetic waves in a one dimensional discrete random medium is considered. It is assumed that the medium is bounded within a slab of thickness L and the random inhomogeneities are distributed according to a Poisson impulse process of density A. In the absence of absorption, an exact equation is obtained for the m-moments of the wave intensity using the Kolmogorov-Feller approach. In the limit of low concentration of inhomogeneities, we use a two-variable perturbation technique, valid for A small and L large, to obtain approximate solutions for the moments of the intensity. It is shown that the wave intensity increases with the slab thickness and the peak of the higher moments occur inside the medium.
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