Inverse problems for the anisotropic Maxwell equations

Carlos E Kenig, Mikko Salo, Gunther Uhlmann

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold and a uniqueness result for Maxwell equations in Euclidean space with admissible matrix coefficients. The proofs are based on a new Fourier analytic construction of complex geometrical optics solutions on admissible manifolds and involve a proper notion of uniqueness for such solutions.
Original languageEnglish
JournalDuke Mathematical Journal
Volume157
Issue number2
Pages (from-to)369-419
Number of pages50
ISSN0012-7094
DOIs
Publication statusPublished - 2011
MoE publication typeA1 Journal article-refereed

Fields of Science

  • 111 Mathematics

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