Inverse Problems in Scattering and Imaging
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Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. 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. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.
Table of Contents
From one to three dimensions in inverse problems (P C Sabatier). Linearized and approximate methods for inversion of scattered field data (M A Fiddy). Current research topics in diffraction tomography (A J Devaney). The inverse scattering problem for electromagnetic waves (D Colton). Sampling theory, resolution limits and inversion methods (M Bertero). Astronomy - the ultimate inverse problem (J C Brown). Inverse problem in neutron reflection (Xiao-Lin Zhou). Inverse problems in seismology (J Trampert). Uniqueness and nonuniqueness in diffuse tomography (F A Grunbaum). Parametric reconstruction in biomagnetic imaging (A K Louis). Inverse problems in confocal microscopy (E R Pike). Wavelets in inverse optics (B De Facio). Effects of coherence in inverse optics (F Gori). An inverse scattering approach to the design of multimode optical waveguides for image transmission (A K Jordan). Elastic wave inverse scattering as applied to nondestructive evaluation (K J Langenberg). Diffraction tomography applications in seismics and medicine (J J Stamnes). Thermal imaging by microwave radiometry (F Bardati). Some applications of diffraction tomography to electromagnetics - the particular case of microwaves (J Ch Bolomey). A critical survey of regularized inversion methods (C De Mol). Statistical inversion methods (G De Villiers). Optimality in regularisation (A R Davies). Numerical algorithms for one-dimensional inverse scattering problems (M Corvi).
"The book is unusual in that it touches on so many different disciplines, but it should be of value to those involved with inverse problems of any kind."