Maxwell Exterior Transmission Eigenvalue Problems and Their Applications to Electromagnetic Cloaking
Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 312–329
Abstract
Maxwell exterior transmission eigenvalue problems arising in scattering problem for a penetrable cavity are considered. Properties of such eigenvalues for a weak formulation of the transmission problem in unbounded domains are studied and the Calderon operator for Maxwell's system is described. In particular, the absence of pure imaginary eigenvalues and the discreteness of the set of exterior transmission eigenvalues are established. Applications to exterior invisibility cloaking are also considered. Using the Maxwell-Herglotz approximation, we can generate nearly non-scattering waves corresponding to the exterior eigenvalues of an electromagnetic medium.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280418.190918
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 312–329
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Exterior transmission eigenvalue problem Calderon operator exterior invisibility cloaking.
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The interior inverse electromagnetic scattering for an inhomogeneous cavity
Zeng, Fang
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https://doi.org/10.1088/1361-6420/abd7cc [Citations: 4]