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. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of applications, from medical imaging and radar to remote sensing and seismic exploration. Point Sources and Multipoles in Inverse Scattering Theory provides a survey of recent developments in inverse acoustic and electromagnetic scattering theory. Focusing on methods developed over the last six years by Colton, Kirsch, and the author, this treatment uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods. The author addresses questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems. With interest in extracting information about an object through scattered waves at an all-time high, Point Sources and Multipoles in Inverse Scattering Theory provides a valuable source of information from both the mathematical and applications perspectives. It offers insight into the general recovery of information from incomplete data and has direct, practical relevance to work on image reconstruction.
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 ...
H. Ammari, E. Bretin, V. Jugnon, and A. Wahab, Photo-acoustic imaging for attenuating ... K. Sølna, and H. Wang, Mathematical and Statistical Methods for Multistatic Imaging, Lecture Notes in Mathematics, Springer-Verlag, submitted.
A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, ...
This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves.
The Blagoveščenskiĭ Identity and the Inverse Scattering Problem
... theory, V 427 of ChapmanHall/CRC, Research Notes in Mathematics. Chapman-Hall/CRC, Boca Raton, Fl, (2001). [P-S-K] R. Potthast, J. Sylvester and S. Kusiak, A 'range test' for determining scatterers with unknown ... INVERSE SCATTERING 265.
This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the ...
This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.
... Theory and Biomedical Technology, Corfu, Greece, 18-19 October 2001 Christos Massalas Dimitrios Ioannou Fotiadis. By ... sources and multipoles in inverse scattering theory. Chapman & Hall, London 2001. Z. Sun and G. Uhlmann, Commun ...
This class essentially extends the class of simple metrics . In Section 3.3 we define the ray transform on a compact dissipative Riemannian manifold and prove that it is bounded with respect to the Sobolev norms . Integral geometry is ...