Wave Propagation and Time Reversal in Randomly Layered Media
(Sprache: Englisch)
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...
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Klappentext zu „Wave Propagation and Time Reversal in Randomly Layered Media “
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 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.
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.
Inhaltsverzeichnis zu „Wave Propagation and Time Reversal in Randomly Layered Media “
- Introduction and Overview of the Book- Waves in Homogeneous Media
- Waves in Random Media
- Waves in Randomly Layered Media
- Diffusion Scaling
- Diffusion Approximations
- Wave Front Propagation
- Wave Localization
- Statistics of Incoherent Waves
- Time Reversal in Transmission: Application to Communication
- Time Reversal in Reflection and Spectral Estimation
- Applications to Detection
- Three Dimensional Waves in Randomly Layered Media
- Time Reversal in a Three Dimensional Layered Medium
- Echo Mode Time Reversal and Phase Compensation
- Other Layered Media
- Other Regimes of Propagation
- Propagation in Randomly Inhomogeneous Wave Guides
- Parabolic Approximation
Bibliographische Angaben
- Autoren: Jean-Pierre Fouque , Josselin Garnier , G. Papanicolaou
- 2007, 612 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387308903
- ISBN-13: 9780387308906
- Erscheinungsdatum: 16.07.2007
Sprache:
Englisch
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