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9780387308906

Wave Propagation And Time Reversal in Randomly Layered Media

by ; ; ;
  • ISBN13:

    9780387308906

  • ISBN10:

    0387308903

  • Format: Hardcover
  • Copyright: 2007-08-12
  • Publisher: Springer Nature

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Summary

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.

Table of Contents

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
Table of Contents provided by Publisher. All Rights Reserved.

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