This article is cited in 1 paper

The evaluation of statistical characteristics of long waveguides in two-modes model

T. V. Selezneva^a, V. N. Tutubalin

^a Moscow

Abstract: The product of random independent matrices (of second order) is considered as an exact model of a long waveguide with two propagating modes. Two approximate methods for evaluation of statistical characteristics of such models are given: a diffusion approximation and a sort of the central limit theorem. The accuracy of these approximations is investigated by the Monte-Carlo simulation. Monte-Carlo experiments are found not to be statistically stable, but a certain agreement exists between the results of these experiments and the approximate methods given in this paper.

Received: 10.05.1971

 English version: Theory of Probability and its Applications, 1973, 18:1, 92–106

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