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 …

[图书][B] Finite element methods for Maxwell's equations

P Monk - 2003 - books.google.com
Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

[图书][B] The factorization method for inverse problems

A Kirsch, N Grinberg - 2007 - books.google.com
The factorization method is a relatively new method for solving certain types of inverse
scattering problems and problems in tomography. Aimed at students and researchers in …

[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 …

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] 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 …

A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency

X Liu - Inverse Problems, 2017 - iopscience.iop.org
A sampling method by using scattering amplitude is proposed for shape and location
reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved …