On Electromagnetic Scattering from a Penetrable Corner

Hongyu Liu, Jingni Xiao

Research output: Contribution to journalJournal articlepeer-review

13 Citations (Scopus)
21 Downloads (Pure)


This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that an EM medium, whose support has a right corner, scatters every pair of incident EM fields, excluding a possible class of EM fields which are of very particular forms. We prove the result by establishing a stronger result showing the failure of the real-analytic extension across the corner, of certain EM fields satisfying the interior transmission eigenvalue problem. This extends the results of [E. Bl\aasten, L. Päivärinta, and J. Sylvester, Comm. Math. Phys., 331 (2014), pp. 725--753] for the acoustic scattering governed by the scalar Helmholtz equation to the electromagnetic case governed by the vectorial Maxwell system.

Original languageEnglish
Pages (from-to)5207-5241
Number of pages35
JournalSIAM Journal on Mathematical Analysis
Issue number6
Publication statusPublished - 21 Dec 2017

Scopus Subject Areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Corner scattering
  • Inhomogeneous medium
  • Inverse scattering
  • Invisibility
  • Maxwell system


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