ON ELECTROMAGNETIC SCATTERING FROM A PENETRABLE CORNER

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)5207-5241
Journal / PublicationSIAM Journal on Mathematical Analysis
Volume49
Issue number6
Online published21 Dec 2017
Publication statusPublished - 2017
Externally publishedYes

Abstract

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. Blästen, 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. © 2017, Society for Industrial and Applied Mathematics.

Research Area(s)

  • corner scattering, inhomogeneous medium, inverse scattering, invisibility, maxwell system

Citation Format(s)

ON ELECTROMAGNETIC SCATTERING FROM A PENETRABLE CORNER. / LIU, Hongyu; XIAO, Jingni.
In: SIAM Journal on Mathematical Analysis, Vol. 49, No. 6, 2017, p. 5207-5241.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review