On Wave Propagation in Large Waveguides Containing Random Media

E-ISSN： 1944-799x|1|6|697-708

ISSN： 0048-6604

Source： RADIO SCIENCE, Vol.1, Iss.6, 1966-06, pp. : 697-708

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Abstract

Propagation of time harmonic waves, either generated by random sources or scattered by smooth deterministic scatterers, is considered in large perfectly conducting waveguides which contain random media differing slightly from homogeneous media. Emphasis is given to computation of the mean values of wave motions and their physical interpretation. By perturbation theory, the original stochastic problem is first reduced to an equivalent deterministic boundary value problem, correct through terms of order ε2, where ε measures the deviation of the medium from homogeneity. then the equivalent problem is solved by methods of separation of variables and eigenfunction expansion. Upon utilizing the method of scattering amplitude, the obtained solutions are transformed into new representations, which not only provide excellent physical interpretation, but also play a key role in a new approximation technique for calculating the scattered waves in waveguides. Finally, the case of scattering by a small perfectly conducting sphere in a random rectangular waveguide is solved as a simple illustration.