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Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm

delete2007-11-01
delete46
PRE
AI
G
Gang Bao *
S
Songming Hou
P
Peijun Li
DOI:10.1016/j.jcp.2007.08.020delete
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Abstract

Abstract

En 中文
A novel continuation method is presented for solving the inverse medium scattering problem of the Helmholtz equation, which is to reconstruct the shape of the inhomogeneous medium from boundary measurements of the scattered field. The boundary data is assumed to be available at multiple frequencies. Initial guesses are chosen from a direct imaging algorithm, multiple signal classification (MUSIC), along with a level set representation at a certain wavenumber, where the Born approximation may not be valid. Each update via recursive linearization on the wavenumbers is obtained by solving one forward and one adjoint problem of the Helmholtz equation. (c) 2007 Elsevier Inc. All rights reserved.
Keywords:
continuation method
MUSIC
inverse scattering
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Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.5W
Citations:
7.4W

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