Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media

  • Ricardo Weder

Part of the Applied Mathematical Sciences book series (AMS, volume 87)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Ricardo Weder
    Pages 1-2
  3. Ricardo Weder
    Pages 3-85
  4. Ricardo Weder
    Pages 86-145
  5. Back Matter
    Pages 146-189

About this book

Introduction

The propagation of acoustic and electromagnetic waves in stratified media is a subject that has profound implications in many areas of applied physics and in engineering, just to mention a few, in ocean acoustics, integrated optics, and wave guides. See for example Tolstoy and Clay 1966, Marcuse 1974, and Brekhovskikh 1980. As is well known, stratified media, that is to say media whose physical properties depend on a single coordinate, can produce guided waves that propagate in directions orthogonal to that of stratification, in addition to the free waves that propagate as in homogeneous media. When the stratified media are perturbed, that is to say when locally the physical properties of the media depend upon all of the coordinates, the free and guided waves are no longer solutions to the appropriate wave equations, and this leads to a rich pattern of wave propagation that involves the scattering of the free and guided waves among each other, and with the perturbation. These phenomena have many implications in applied physics and engineering, such as in the transmission and reflexion of guided waves by the perturbation, interference between guided waves, and energy losses in open wave guides due to radiation. The subject matter of this monograph is the study of these phenomena.

Keywords

acoustics electromagnetic wave scattering theory wave wave equation

Authors and affiliations

  • Ricardo Weder
    • 1
  1. 1.Instituto de Investigaciones en Matemáticas Aplicadas y en SistemasUniversidad Nacional Autónoma de MéxicoMéxico, D.F.México

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4430-1
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8767-4
  • Online ISBN 978-1-4612-4430-1
  • Series Print ISSN 0066-5452
  • About this book
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