A two-stage method for inverse medium scattering

Kazufumi Ito, Bangti Jin, Jun Zou

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfully detects the scatterer support. The second step is an innovative application of nonsmooth mixed regularization, and it accurately resolves the scatterer size as well as intensities. The nonsmooth model can be efficiently solved by a semi-smooth Newton-type method. Numerical results for two- and three-dimensional examples indicate that the new approach is accurate, computationally efficient, and robust with respect to data noise. © 2012 Elsevier Inc.
Original languageEnglish (US)
Pages (from-to)211-223
Number of pages13
JournalJournal of Computational Physics
Volume237
DOIs
StatePublished - Mar 2013
Externally publishedYes

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