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Adaptive Eigenspace Regularization for Inverse Scattering Problems

By Daniel Baffet, Marcus J. Grote and Jet Hoe Tang

Abstract

A nonlinear optimization method is proposed for inverse scattering problems in the frequency domain. The time-harmonic inverse medium problem is formulated as a PDE-constrained optimization problem and solved by an inexacttruncated Newton-type method combined with frequency stepping. Instead of a grid-based discrete representation combined with standard Tikhonov regularization, the unknown medium is projected to a small finite-dimensional subspace,which is iteratively adapted using dynamic thresh-olding. Rigorous error estimates of the adaptive eigenspace approximation are proved for an arbitrary piecewise constant medium

Publisher: TU Wien
Year: 2019
DOI identifier: 10.34726/waves2019
OAI identifier: oai:edoc.unibas.ch:75318
Provided by: edoc
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