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Essential spectrum for Maxwell's equations

Alberti, Giovanni, Brown, Brian, Marletta, Marco and Wood, Ian 2019. Essential spectrum for Maxwell's equations. Annales Henri Poincaré 20 (5) , pp. 1471-1499. 10.1007/s00023-019-00762-x

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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
Date Type: Published Online
Status: Published
Schools: Mathematics
Computer Science & Informatics
Subjects: Q Science > QA Mathematics
Publisher: Institute Henri Poincaré
ISSN: 1424-0661
Funders: EPSRC
Date of First Compliant Deposit: 17 January 2019
Date of Acceptance: 27 December 2018
Last Modified: 20 May 2019 12:15
URI: http://orca.cf.ac.uk/id/eprint/118080

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