Shrinkage-thresholding enhanced born iterative method for solving 2D inverse electromagnetic scattering problem

Abdulla Desmal, Hakan Bagci

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

A numerical framework that incorporates recently developed iterative shrinkage thresholding (IST) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem. IST algorithms minimize a cost function weighted between measurement-data misfit and a zeroth/first-norm penalty term and therefore promote "sharpness" in the solution. Consequently, when applied to domains with sharp variations, discontinuities, or sparse content, the proposed framework is more efficient and accurate than the "classical" BIM that minimizes a cost function with a second-norm penalty term. Indeed, numerical results demonstrate the superiority of the IST-BIM over the classical BIM when they are applied to sparse domains: Permittivity and conductivity profiles recovered using the IST-BIM are sharper and more accurate and converge faster. © 1963-2012 IEEE.
Original languageEnglish (US)
Pages (from-to)3878-3884
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume62
Issue number7
DOIs
StatePublished - Jul 2014

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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