Multiple Scattering
Interaction of Time-Harmonic Waves with N Obstacles

First book devoted to subject; an essential reference for applied mathematicians, physicists and engineers.

P. A. Martin (Author)

9780521865548, Cambridge University Press

Hardback, published 3 August 2006

450 pages, 10 b/w illus.
24.2 x 16.6 x 3 cm, 0.803 kg

' … no one interested in multiple scattering can afford to ignore Paul Martin's book.' Journal of Acoustical Society of America

The interaction of waves with obstacles is an everyday phenomenon in science and engineering, arising for example in acoustics, electromagnetism, seismology and hydrodynamics. The mathematical theory and technology needed to understand the phenomenon is known as multiple scattering, and this book is the first devoted to the subject. The author covers a variety of techniques, describing first the single-obstacle methods and then extending them to the multiple-obstacle case. A key ingredient in many of these extensions is an appropriate addition theorem: a coherent, thorough exposition of these theorems is given, and computational and numerical issues around them are explored. The application of these methods to different types of problems is also explained; in particular, sound waves, electromagnetic radiation, waves in solids and water waves. A comprehensive bibliography of some 1400 items rounds off the book, which will be an essential reference on the topic for applied mathematicians, physicists and engineers.

Preface
1. Introduction
2. Addition theorems in two dimensions
3. Addition theorems in three dimensions
4. Methods based on separation of variables
5. Integral equation methods I: basic theory
6. Integral equation methods II: further details
7. Null-field and T-matrix methods
8. Approximations
Appendices
Comments on the bibliography
Bibliography
Citation index
Index.

Subject Areas: Electricity, electromagnetism & magnetism [PHK], Wave mechanics [vibration & acoustics PHDS], Nonlinear science [PBWR], Mathematical modelling [PBWH]