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Essential Spectrum for Maxwell’s Equations

Alberti, Giovanni S., Brown, Malcolm, Marletta, Marco, Wood, Ian (2019) Essential Spectrum for Maxwell’s Equations. Annales Henri Poincaré, 20 . pp. 1471-1499. ISSN 1424-0637. (doi:10.1007/s00023-019-00762-x) (KAR id:72081)

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Official URL
https://doi.org/10.1007/s00023-019-00762-x

Abstract

We study the essential spectrum of operator pencils associated with anisotropic Maxwell equations, with permittivity ε, permeability μ and conductivity σ, on finitely connected unbounded domains. The main result is that the essential spectrum of the Maxwell pencil is the union of two sets: namely, the spectrum of the pencil div((ωε+iσ)∇⋅), and the essential spectrum of the Maxwell pencil with constant coefficients. We expect the analysis to be of more general interest and to open avenues to investigation of other questions concerning Maxwell’s and related systems.

Item Type: Article
DOI/Identification number: 10.1007/s00023-019-00762-x
Projects: [UNSPECIFIED] Durham Symposium on Mathematical and Computational Aspects of Maxwell's Equations
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 30 Jan 2019 09:33 UTC
Last Modified: 16 Feb 2021 14:02 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/72081 (The current URI for this page, for reference purposes)
Wood, Ian: https://orcid.org/0000-0001-7181-7075
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