Inverse Problems and Inverse Scattering of Plane Waves

Author: Roy   Dilip N. Ghosh;Couchman   L. S.  

Publisher: Elsevier Science‎

Publication year: 2001

E-ISBN: 9780080546131

P-ISBN(Paperback): 9780122818653

P-ISBN(Hardback):  9780122818653

Subject: O413.1 quantum mechanics (wave mechanics, matrix mechanics)

Language: ENG

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Description

The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter.

Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.

Chapter

Front Cover

pp.:  1 – 2

Contents

pp.:  6 – 10

Chapter 1. Introduction

pp.:  10 – 26

Chapter 2. Some Examples of Ill-posed Problems

pp.:  26 – 58

Chapter 3. Theory of Ill-posed Problems

pp.:  58 – 114

Chapter 4. Regularization by Projections

pp.:  114 – 142

Chapter 5. Discrete Ill-posed Problems

pp.:  142 – 178

Chapter 6. The Helmholtz Scattering

pp.:  178 – 212

Chapter 7. The Solutions

pp.:  212 – 256

Chapter 8. Uniqueness Theorems in Inverse Problems

pp.:  256 – 292

Chapter 9. Some Algorithms

pp.:  292 – 324

Chapter 10. Bibliography

pp.:  324 – 340

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