Time-Domain Scattering
Part of Encyclopedia of Mathematics and its Applications
- Author: P. A. Martin, Colorado School of Mines
- Date Published: June 2021
- availability: Available
- format: Hardback
- isbn: 9781108835596
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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.
Read more- Clear exposition of concepts and methods, making the theory accessible to readers interested in solving time-domain scattering problems
- Covers applications in many physical domains, connected by common mathematics
- A thorough literature review, from classical work to the present day, allowing readers to put their own work in proper context
Reviews & endorsements
'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, MathSciNet
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×Product details
- Date Published: June 2021
- format: Hardback
- isbn: 9781108835596
- length: 267 pages
- dimensions: 241 x 158 x 21 mm
- weight: 0.53kg
- availability: Available
Table of Contents
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.
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