
Time-Domain Scattering
P. A. Martin(Author)
Cambridge University Press
Published on 24. June 2021
Book
Hardback
266 pages
978-1-108-83559-6 (ISBN)
Description
The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.
Reviews / Votes
'The book under review is very interesting and appealing to anyone who is interested in time-domain wave scattering. It is also a very useful and comprehensive book, with 910 references; I strongly recommend it to students and researchers who are working on time-domain scattering or inverse scattering problems. There are a lot of concrete examples, with emphasis placed on exact methods, such as separation of variables, and boundary integral equations. This makes the book easy to understand, and very friendly to readers.' Hongpeng Sun, MathSciNetMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 20 mm
Weight
615 gr
ISBN-13
978-1-108-83559-6 (9781108835596)
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Schweitzer Classification
Other editions
Additional editions

P. A. Martin
Time-Domain Scattering
E-Book
06/2021
Cambridge University Press
€92.49
Available for download
Person
P. A. Martin is Professor in the Department of Applied Mathematics and Statistics at Colorado School of Mines. He was the Editor-in-Chief of the SIAM Journal on Applied Mathematics and is the author of Multiple Scattering (Cambridge, 2006).
Content
1. Acoustics and the Wave Equation; 2. Wavefunctions; 3. Characteristics and Discontinuities; 4. Initial-boundary Value Problems; 5. Use of Laplace Transforms; 6. Problems with Spherical Symmetry; 7. Scattering by a Sphere; 8. Scattering Frequencies and the Singularity Expansion Method; 9. Integral Representations; 10. Integral Equations; References; Citation Index; Index.