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Wave Propagation And Time Reversal In Randomly Layered Media (Hb 2007)

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Book Details

  • Author: Jean-Pierre Fouque

  • Publisher: Springer

  • Language: English

  • Edition: 2007

  • ISBN: 9780387308906

  • Pages: 612

  • Binding: Hardcover

  • Dimensions: 9.3 x 6.3 x 1.4 inches

  • Weight: 1.2 kg


About the Book

Wave Propagation in Random Media by Jean-Pierre Fouque is an interdisciplinary masterpiece that bridges mathematics, physics, and engineering. This book provides a comprehensive and systematic presentation of wave propagation in randomly layered media, applying the asymptotic theory of ordinary differential equations with random coefficients. The content seamlessly integrates tools from partial differential equations, probability theory, and stochastic processes to address complex wave propagation phenomena in random media.

The first half of the book focuses on wave reflection and transmission in one-dimensional random media, introducing essential mathematical tools such as partial differential equations and probability theory. The second half expands to explore wave propagation in three-dimensional randomly layered media, with applications that include the intriguing concept of time reversal. Many novel results are introduced for the first time in this section, making it a groundbreaking contribution to the field.

This book is designed for graduate students and researchers interested in the use of stochastic analysis to study wave propagation in random media. It is particularly suitable for those exploring random media, homogenization, averaging, and diffusion approximation methods. With detailed explanations and references at the end of each chapter, it serves as an excellent reference for advanced students and researchers.

The book's accessibility and depth make it a must-have resource for anyone involved in applied mathematics, physics, and engineering, particularly those seeking to understand the fascinating phenomena of waves propagating in random environments.