Wave Propagation and Time Reversal in Randomly Layered Media (Stochastic Modelling and Applied Probability, 56)

Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, G.; Solna, Knut

ISBN 10: 1441921621 / ISBN 13: 9781441921628

Editore: Springer, 2010

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Dati bibliografici

• Titolo: Wave Propagation and Time Reversal in Randomly Layered Media (Stochastic Modelling and Applied Probability, 56)
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441921621
• ISBN 13: 9781441921628
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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. 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. The book is addressed to a wide audience of graduate students and researchers interested in the intriguing phenomena related to waves propagating in random media. It can also be used as support for various advanced topics courses where random media and related homogenization and diffusion approximation results are involved.

Dalla quarta di copertina

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.