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A regularized sampling method for solving three-dimensional inverse scattering problems

delete2000-01-01
delete72
PRE
AI
D
David Colton *
K
Klaus Giebermann
P
Peter Monk
DOI:10.1137/S1064827598340159delete
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Abstract

Abstract

En 中文
The inverse scattering problem under consideration is to determine the shape of an obstacle in R-3 from a knowledge of the time harmonic incident acoustic wave and the far field pattern of the scattered wave with frequency in the resonance region. A method for solving this nonlinear and improperly posed problem is presented which is based on solving a linear integral equation of the first kind and avoids the use of nonlinear optimization methods. Numerical examples are given showing the practicality of this new approach.
Keywords:
inverse scattering
Helmholtz equation
adaptive
regularized sampling method

Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

Organization

No organization information available