Wave Propagation And Time Reversal In Randomly Layered Media Pdf

wave propagation and time reversal in randomly layered media pdf

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Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time. The book is addressed to students and researchers in applied mathematics that are interested in understanding how tools from stochastic analysis can be used to study some intriguing phenomena in wave propagation in random media. Parts of the book can be used for courses in which random media and related homogenization, averaging, and diffusion approximation methods are involved.

SUMMARY The determination of the natural modes of wave propagation in an anisotropiclayered medium requires the solution of a transcendental eigenvalue problem that is usually approached numerically with the aid of search techniques. Such computations require great effort. The method presented in this paper provides an alternate solution to this problem in terms of a quadratic eigenvalueproblem involving tridiagonal matrices, for which the eigenvaluescan be found with great speed and accuracy. The technique is then illustrated by means of an example involving a cross-anisotropicGibson solid. The method presented in this paper avoids the difficulties inherent in search procedures by. The technique constitutes a generalization of a procedure originally proposed by Waas and Lysmer in , and which was extended by the author and by others in a number of related papers; the reader is referred to these works for further details. The material properties are homogeneous within each layer, although they may change from layer to layer.

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Garnier and G. Papanicolaou and K.

Wave Propagation and Time Reversal in Randomly Layered Media

From the reviews: "An up-to-date monograph written by highly regarded experts that presents in a modern way the generalities of the physics of randomly layered media and covers a broad range of applications has long been eagerly anticipated by mathematicians, physicists, and engineers. I strongly recommend the book to graduate students and advanced researchers This book serve as an indispensable reference to any mathematician and scientist interested in the analysis of partial differential equations with random coefficients. I recommend this book highly to anyone interested in wave propagation in random media, or just asymptotic methods for stochastic differential equations. Du kanske gillar. Issues in Science and Theology: What is Life? Spara som favorit.

Wave Propagation and Time Reversal in Randomly Layered Media

It seems that you're in Germany. We have a dedicated site for Germany. Authors: Fouque , J. Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients.

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Wave propagation in random media is an interdisciplinary field that has emerged Wave Propagation and Time Reversal in Randomly Layered Media PDF · Waves in Homogeneous Media. Jean-Pierre Fouque, Josselin Garnier, George.

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