Parabolic and Gaussian White Noise Approximation for Wave Propagation in Random Media
Authors:
- F. BaillyFBF. Bailly
- J. F. ClouetJCJ. F. Clouet
- J. P. FouqueJFJ. P. Fouque
- 1 October 1996
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 56 (5) , 1445-1470
Abstract
The parabolic or forward scattering approximation has been used extensively in the study of wave propagation. This approximation is combined with a Gaussian white noise approximation for waves propagating in a random medium. The validity of this approximation is proved for stratified weakly fluctuating random media in the high-frequencies regime. The limiting distribution of the wave field is characterized as the unique solution of a random Schrödinger equation studied by Dawson and Papanicolaou [Appl. Math. Optim., 12 (1984), pp. 97–114]. The proofs are based on various generalizations of the perturbed test function method developed by Kushner [Approximation and Weak Convergence Methods for Random Processes, MIT Press, 1984].Keywords
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