[引用][C] The inverse problem of acoustic scattering

BD Sleeman - IMA Journal of Applied Mathematics, 1982 - academic.oup.com
FOR MORE THAN A CENTURY the problem of solving Helmholtz equation, or the reduced
wave equation, in exterior domains has occupied a central position in the fields of acoustics …

An approximation problem in inverse scattering theory

D Colton, A Kirsch - Applicable Analysis, 1991 - Taylor & Francis
In [3] a new method was introduced for solving the inverse scattering problem for acoustic
waves in an inhomogeneous medium. This method is based on the solution of a new class …

An inverse transmission problem for the Helmholtz equation

TS Angell, RE Kleinman, GF Roach - Inverse Problems, 1987 - iopscience.iop.org
The problem considered is that of determining the shape of a three-dimensional scattering
object, illuminated by an acoustic field, from a knowledge of scattered far-field data. The far …

Inverse scattering in acoustic media using interior transmission eigenvalues

JR McLaughlin, PE Sacks… - Inverse Problems in Wave …, 1997 - Springer
A well known inverse problem for acoustic media consists in the determination of the sound
speed of the medium using far field data. A precise formulation is as follows. Consider the …

[图书][B] Inverse problems and inverse scattering of plane waves

DN Roy, LS Couchman - 2001 - books.google.com
The purpose of this text is to present the theory and mathematics of inverse scattering, in a
simple way, to the many researchers and professionals who use it in their everyday …

On a class of integral equations of the first kind in inverse scattering theory

D Colton, P Monk - SIAM Journal on Applied Mathematics, 1993 - SIAM
The authors recently introduced a constructive method for solving the inverse obstacle
problem and the inverse inhomogeneous medium problem for acoustic waves D. Colton and …

[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] Iterative methods for solving the exterior dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency …

D Colton, R Kress - 1980 - apps.dtic.mil
A previous paper presented an iterative method for solving the exterior Dirichlet problem for
the Helmholtz equation defined in the plane and used this result to provide a constructive …

The inverse problem in hard acoustic scattering

DS Jones, XQ Mao - Inverse Problems, 1989 - iopscience.iop.org
The inverse problem considered is that of determining the shape of an acoustically hard
obstacle in R 3 from a knowledge of the time-harmonic incident plane wave and the far-field …

On an integral equation of the first kind in inverse acoustic scattering

A Kirsch, R Kress - Inverse Problems: Proceedings of the Conference held …, 1986 - Springer
On an integral equation of the first kind in inverse acoustic scattering Page 89 International
Series of Numerical Mathematics, Vol. 77 © 1986 Birkhauser Verlag Basel ON AN INTEGRAL …