Recent developments in inverse acoustic scattering theory

D Colton, J Coyle, P Monk - Siam Review, 2000 - SIAM
We survey some of the highlights of inverse scattering theory as it has developed over the
last 15 years, with emphasis on uniqueness theorems and reconstruction algorithms for time …

A survey on sampling and probe methods for inverse problems

R Potthast - Inverse Problems, 2006 - iopscience.iop.org
The goal of the review is to provide a state-of-the-art survey on sampling and probe methods
for the solution of inverse problems. Further, a configuration approach to some of the …

[图书][B] Inverse acoustic and electromagnetic scattering theory

DL Colton, R Kress, R Kress - 1998 - Springer
The purpose of this chapter is to provide a survey of our book by placing what we have to
say in a historical context. We obviously cannot give a complete account of inverse …

Characterization of the shape of a scattering obstacle using the spectral data of the far field operator

A Kirsch - Inverse problems, 1998 - iopscience.iop.org
This paper is concerned with the inverse obstacle scattering problem for time harmonic
plane waves. We derive a factorization of the far field operator F in the form and prove that …

[图书][B] Qualitative methods in inverse scattering theory: An introduction

F Cakoni, D Colton - 2005 - books.google.com
Inverse scattering theory has been a particularly active and successful field in applied
mathematics and engineering for the past twenty years. The increasing demands of imaging …

[图书][B] A qualitative approach to inverse scattering theory

F Cakoni, DL Colton - 2014 - Springer
The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …

[图书][B] Inverse scattering theory and transmission eigenvalues

F Cakoni, D Colton, H Haddar - 2022 - SIAM
In the first edition of this book, we discussed methods for determining the support of an
inhomogeneous medium from measured far field data as well as an extensive study of the …

The linear sampling method in inverse electromagnetic scattering theory

D Colton, H Haddar, M Piana - Inverse problems, 2003 - iopscience.iop.org
We survey the linear sampling method for solving the inverse scattering problem for time-
harmonic electromagnetic waves at fixed frequency. We consider scattering by an obstacle …

[图书][B] The linear sampling method in inverse electromagnetic scattering

F Cakoni, D Colton, P Monk - 2011 - SIAM
The inverse scattering problem for electromagnetic waves is an area of major importance in
applied mathematics. In particular, one can argue that the invention of radar is one of the …

[图书][B] Point sources and multipoles in inverse scattering theory

R Potthast - 2001 - taylorfrancis.com
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 …