arXiv:2102.08662 Abstract | arXiv Analytics

arXiv:2102.08662 [math.AP]Abstract References Reviews Resources

Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues

Published 2021-02-17Version 1

We introduce an analog of the Dirichlet-to-Neumann map for the Maxwell equation in a bounded domain. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol. As a consequence, we obtain a parabolic region free of the transmission eigenvalues associated to the Maxwell equation.

Categories: math.AP, math-ph, math.MP

Keywords: maxwell equation, electromagnetic transmission eigenvalues, semiclassical parametrix, applications, parabolic region free

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