ON ELECTROMAGNETIC SCATTERING FROM A PENETRABLE CORNER
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 5207-5241 |
Journal / Publication | SIAM Journal on Mathematical Analysis |
Volume | 49 |
Issue number | 6 |
Online published | 21 Dec 2017 |
Publication status | Published - 2017 |
Externally published | Yes |
Link(s)
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.
In: SIAM Journal on Mathematical Analysis, Vol. 49, No. 6, 2017, p. 5207-5241.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review