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Journal article
ON ELECTROMAGNETIC SCATTERING FROM A PENETRABLE CORNER
SIAM journal on mathematical analysis, v 49(6), pp 5207-5241
01 Jan 2017
Featured in Collection : UN Sustainable Development Goals @ Drexel
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. Blasten, L. Paivarinta, 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.
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Details
- Title
- ON ELECTROMAGNETIC SCATTERING FROM A PENETRABLE CORNER
- Creators
- Hongyu Liu - Hong Kong Baptist UniversityJingni Xiao - Hong Kong Baptist University
- Publication Details
- SIAM journal on mathematical analysis, v 49(6), pp 5207-5241
- Publisher
- Siam Publications
- Number of pages
- 35
- Grant note
- FRG grants from Hong Kong Baptist University 12302415; 12302017 / GRF grants from the Research Grants Council of Hong Kong
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000418671600025
- Scopus ID
- 2-s2.0-85040092597
- Other Identifier
- 991021878115104721
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- Web of Science research areas
- Mathematics, Applied