Wave Propagation and Time Reversal in Randomly Layered Media |
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Author:
| Fouque, Jean-Pierre Garnier, Josselin Papanicolaou, George |
Series title: | Stochastic Modelling and Applied Probability Ser. |
ISBN: | 978-1-280-94441-3 |
Publication Date: | Jan 2007 |
Publisher: | Springer
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Book Format: | Ebook |
List Price: | USD $79.95 |
Book Description:
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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...
More DescriptionWave 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.