Wave Propagation and Time Reversal in Randomly Layered Media

  • Jean-Pierre Fouque
  • Josselin Garnier
  • George Papanicolaou
  • Knut Sølna

Part of the Stochastic Modelling and Applied Probability book series (SMAP, volume 56)

Table of contents

  1. Front Matter
    Pages I-XX
  2. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 1-8
  3. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 9-31
  4. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 33-60
  5. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 61-90
  6. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 91-107
  7. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 109-174
  8. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 175-213
  9. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 215-248
  10. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 249-280
  11. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 281-304
  12. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 305-326
  13. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 327-342
  14. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 343-364
  15. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 365-391
  16. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 393-433
  17. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 435-455
  18. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 457-486
  19. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 487-517
  20. Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Sølna
    Pages 519-544

About this book

Introduction

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.

Keywords

Layered Media Probability theory Propagation Randomly Time Reversal Wave differential equation model modeling partial differential equation statistics

Authors and affiliations

  • Jean-Pierre Fouque
    • 1
  • Josselin Garnier
    • 2
  • George Papanicolaou
    • 3
  • Knut Sølna
    • 4
  1. 1.Department of Statistics and Applied ProbabilityUniversity of CaliforniaSanta BarbaraUSA
  2. 2.UFR de MathématiquesUniversité Paris VII2 Place JussieuFrance
  3. 3.Mathematics DepartmentStanford UniversityStanfordUSA
  4. 4.Department of MathemathicsUniversity of California at IrvineIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-49808-9
  • Copyright Information Springer Science+Business Media, LLC 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-30890-6
  • Online ISBN 978-0-387-49808-9
  • Series Print ISSN 0172-4568
  • About this book