Integral Equation Methods in Scattering Theory
- ISBN-10
- 1611973155
- ISBN-13
- 9781611973150
- Category
- Mathematics
- Pages
- 271
- Language
- English
- Published
- 2013-11-15
- Publisher
- SIAM
- Authors
- David Colton, Rainer Kress
Description
This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and HÓlder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and HÓlder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.
Get the book
Other editions
Similar books
-
Integral Equation Methods in Scattering Theory
By Rainer Kress, David L. ColtonIntegral Equation Methods in Scattering Theory
-
Analytical and Computational Methods in Scattering and Applied Mathematics
By Ivar Stakgold, Fadil SantosaBefore his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic
-
The Linear Sampling Method in Inverse Electromagnetic Scattering
By David Colton, Fioralba Cakoni, Peter MonkNote that E i can be written as E'o) I Ee(x,xo,p,ks)+ Ego). (6.3) where E; : Els7(-, x0, p) is the electric scattered field due to the background medium. The Green's function E i :: E i(x,x0, p) satisfies the Silver—Muller radiation ...
-
Advanced Electromagnetics and Scattering Theory
By Kasra BarkeshliThis book present the lecture notes used in two courses that the late Professor Kasra Barkeshli had offered at Sharif University of Technology, namely, Advanced Electromagnetics and Scattering Theory.
-
Integral Equation Methods for Electromagnetic and Elastic Waves
By Bin Hu, Weng Chew, Mei-Song TongWith this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research.
-
Forward and Inverse Scattering Algorithms Based on Contrast Source Integral Equations
By Peter M. van den BergThis important book: Provides a guide to the effects of scalar waves, acoustic waves and electromagnetic waves Describes computer modeling in 1D, 2D and 3D models Includes an online site for computer codes with adjustable configurations ...
-
Green's Function Integral Equation Methods in Nano-Optics
By Thomas M. SøndergaardR. F. Harrington, Field Computation by Moment Methods. ... N. Morita, N. Kumagai, and J. R. Mautz, Integral Equation Methods for Electromagnetics. ... R. Chang and A. Campillo, Optical Processes in Microcavities.
-
Inverse Acoustic and Electromagnetic Scattering Theory
By David Colton, Rainer Kress[27] Colton, D., and Kirsch, A.: Karp's theorem in acoustic scattering theory. Proc. Amer. Math. Soc. 103,783–788 (1988). [28] Colton, D., and Kirsch, A.: An approximation problem in inverse scattering theory.
-
Mathematical Methods in Scattering Theory and Biomedical Engineering: Proceedings of the 7th International Workshop, Nymphaio, Greece, 8-11 September 2005
By Dimitrios Ioannou Fotiadis, Christos MassalasThis volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.
-
Point Sources and Multipoles in Inverse Scattering Theory
By Roland PotthastOver the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering.