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Electromagnetic inversion using a reduced-order three-dimensional homogeneous model

Neil V Budko and Rob F Remis

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Nonlinearized electromagnetic inversion of a three-dimensional homogeneous model of arbitrary but known support is considered. We propose a reduced-order representation of the cost functional based on the shift invariance property of the Arnoldi decomposition. Numerical experiments demonstrate acceleration up to a factor of 100 with respect to the usual repetitive solution of the forward scattering problem. We also discuss the applicability of a homogeneous model for estimating the effective constitutive parameter of an inhomogeneous target.


PACS

02.30.Zz Inverse problems

MSC

78A46 Inverse scattering problems

Subjects

Mathematical physics

Dates

Issue 6 (December 2004)

Received 8 April 2004, in final form 27 July 2004

Published 8 November 2004



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