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Wave Propagation and Time Reversal in Randomly Layered Media Jean-Pierre Fouque

Wave Propagation and Time Reversal in Randomly Layered Media By Jean-Pierre Fouque

Wave Propagation and Time Reversal in Randomly Layered Media by Jean-Pierre Fouque


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Summary

It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments.

Wave Propagation and Time Reversal in Randomly Layered Media Summary

Wave Propagation and Time Reversal in Randomly Layered Media by Jean-Pierre Fouque

The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics of wave propagation and modeling of time reversal experiments. It is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. At the end of each chapter there is a section of notes where the authors give references and additional comments on the various results presented in the chapter.

Wave Propagation and Time Reversal in Randomly Layered Media Reviews

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 is an excellent book which will be interesting, informative, and enjoyable for a wide circle of students, researchers, and engineers, demanding a place on their bookshelves. (Valentin Freilikher, Journal of Statistical Physics, Vol. 131, 2008)

This excellent monograph ... provides a masterful presentation of wave propagation in one-dimensional (layered) random media. ... This book serve as an indispensable reference to any mathematician and scientist interested in the analysis of partial differential equations with random coefficients. (Guillaume Bal, Mathematical Reviews, Issue 2009 a)

This book focuses ... entirely on the case of classical, linear waves (e.g., acoustics) in randomly layered media. ... I recommend this book highly to anyone interested in wave propagation in random media, or just asymptotic methods for stochastic differential equations. ... this narrower focus provides necessary clarity to the mathematical presentation. ... this book does an admirable job of presenting mathematicians with the fundamental analytical tools needed to study this subject. (Arnold D. Kim, SIAM Review, Vol. 51 (3), 2009)

Table of Contents

and Overview of the Book.- Waves in Homogeneous Media.- Waves in Layered Media.- Effective Properties of Randomly Layered Media.- Scaling Limits.- Asymptotics for Random Ordinary Differential Equations.- Transmission of Energy Through a Slab of Random Medium.- Wave-Front Propagation.- Statistics of Incoherent Waves.- Time Reversal in Reflection and Spectral Estimation.- Applications to Detection.- Time Reversal in Transmission.- Application to Communications.- Scattering by a Three-Dimensional Randomly Layered Medium.- Time Reversal in a Three-Dimensional Layered Medium.- Application to Echo-Mode Time Reversal.- Other Layered Media.- Other Regimes of Propagation.- The Random Schroedinger Model.- Propagation in Random Waveguides.

Additional information

NPB9780387308906
9780387308906
0387308903
Wave Propagation and Time Reversal in Randomly Layered Media by Jean-Pierre Fouque
New
Hardback
Springer-Verlag New York Inc.
2007-07-16
612
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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