Wave Propagation and Time Reversal in Randomly Layered Media [electronic resource] /by Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna.
by Fouque, Jean-Pierre [author.]; Garnier, Josselin [author.]; Papanicolaou, George [author.]; Sølna, Knut [author.]; SpringerLink (Online service).
Material type:
BookSeries: Stochastic Modelling and Applied Probability, Formerly: Applications of Mathematics: 56Publisher: New York, NY : Springer New York, 2007.Description: XX, 612 p. online resource.ISBN: 9780387498089.Subject(s): Mathematics | Differential equations, partial | Distribution (Probability theory) | Fluids | Acoustics | Engineering mathematics | Mathematics | Applications of Mathematics | Probability Theory and Stochastic Processes | Fluids | Partial Differential Equations | Acoustics | Appl.Mathematics/Computational Methods of EngineeringDDC classification: 519 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | T57-57.97 (Browse shelf) | Available |
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| RM1-950 Prodrugs | High Resolution Numerical Modelling of the Atmosphere and Ocean | TK7876-7876.42 The Essence of Dielectric Waveguides | T57-57.97 Wave Propagation and Time Reversal in Randomly Layered Media | RC1200-1245 The Adolescent Athlete | QA273.A1-274.9 An Introduction to the Theory of Point Processes | QA276-280 Multivariate and Mixture Distribution Rasch Models |
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 Schrödinger Model -- Propagation in Random Waveguides.
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.
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