This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues.
This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.
One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field.
Note 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 ...
Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering.
Theory of Solitons: The Inverse Scattering Method
6 Agarwal, K., Chen, X., and Zhong, Y. (2010) A multipole-expansion based linear sampling method for solving inverse scattering problems. Opt. Express, 18 (6), 6366–6381. 7 Cakoni, F. and Colton, D.L. (2014) A qualitative approach to ...
effect for phase transitions in the solid state analogous to that previously observed in liquids and solutions. ... On the Theory of Inelastic Light Scattering near a Phase Transition Point in Crystals A general theory of light ...
The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.
This book will be of interest to research mathematicians and engineers and physicists working on problems in target identification. It will also be useful to advanced graduate students in many areas of applied mathematics.
Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions.