Computer Science – Sound
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rspsa.398..341s&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 398, no. 1815, April 9
Computer Science
Sound
5
Stochastic Processes, Wave Propagation, Wave Scattering, Differential Equations, Ducted Flow, Fokker-Planck Equation, Fourier Transformation, Integral Equations, Taylor Series
Scientific paper
Stochastic process theory is applied to the one-dimensional scattering of time-harmonic waves by a random medium with time-invariant properties, considering the problems of a wave incident on a length of random medium backed by a reflecting surface, a wave incident on a random medium backed by an infinite nonrandom medium, and a source in the interior of a random medium with perfectly reflecting boundaries. It is assumed that the scattering distance is large relative to the wavelength and the scatterer correlation length. The three problems are discussed in detail; some numerical results for typical realizations are presented graphically; the role of Anderson localization is explored; and applications to problems such as the propagation of low-frequency sound waves in ducts with random inhomogeneities, along irregular wave-bearing elastic structures, and through randomly layered media are indicated.
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