[BOOK][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 …

Using fundamental solutions in inverse scattering

D Colton, R Kress - Inverse problems, 2006 - iopscience.iop.org
We provide a brief description of recent results in inverse scattering theory having as a
common mathematical framework the exploitation of the behaviour of the fundamental …

Looking back on inverse scattering theory

D Colton, R Kress - SIAM Review, 2018 - SIAM
Looking Back on Inverse Scattering Theory Page 1 Copyright © by SIAM. Unauthorized
reproduction of this article is prohibited. SIAM REVIEW c 2018 Society for Industrial and Applied …

Identification of sound-soft 3D obstacles from phaseless data

O Ivanyshyn, R Kress - 2010 - publications.goettingen-research …
The inverse problem for time-harmonic acoustic wave scattering to recover a sound-soft
obstacle from a given incident field and the far field pattern of the scattered field is …

Acoustic scattering from corners, edges and circular cones

J Elschner, G Hu - Archive for Rational Mechanics and Analysis, 2018 - Springer
Consider the time-harmonic acoustic scattering from a bounded penetrable obstacle
imbedded in an isotropic homogeneous medium. The obstacle is supposed to possess a …

Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem

HH Qin, F Cakoni - Inverse Problems, 2011 - iopscience.iop.org
In this paper, we consider the inverse scattering problem of recovering the shape of a
perfectly conducting cavity from one source and several measurements placed on a curve …

Why the high-frequency inverse scattering by topological sensitivity may work

BB Guzina, F Pourahmadian - Proceedings of the …, 2015 - royalsocietypublishing.org
This study deciphers the topological sensitivity (TS) as a tool for the reconstruction and
characterization of impenetrable anomalies in the high-frequency regime. It is assumed that …

Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering

H Liu, J Zou - IMA journal of applied mathematics, 2007 - ieeexplore.ieee.org
Some novel interlacing properties of the zeros for the Bessel and spherical Bessel functions
are first presented and then applied to prove an interesting uniqueness result in inverse …

Inverse acoustic scattering with phaseless far field data: uniqueness, phase retrieval, and direct sampling methods

X Ji, X Liu, B Zhang - SIAM Journal on Imaging Sciences, 2019 - SIAM
The well-known translation invariance property of the phaseless far field patterns with
incident plane waves make it is impossible to reconstruct the location of the underlying …

The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering

A Karageorghis, BT Johansson, D Lesnic - Applied Numerical Mathematics, 2012 - Elsevier
In this paper we propose a simple meshless method of fundamental solutions (MFS) for
detecting a sound-soft scatterer embedded in a host acoustic homogeneous medium from …