First-order perturbation theory of eigenmodes for systems with interfaces

Sztranyovszky, Zoltan, Langbein, Wolfgang ORCID: https://orcid.org/0000-0001-9786-1023 and Muljarov, Egor ORCID: https://orcid.org/0000-0002-2878-4148 2023. First-order perturbation theory of eigenmodes for systems with interfaces. Physical Review Research 5 (1) , 013209. 10.1103/PhysRevResearch.5.013209

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Abstract

We present an exact first-order perturbation theory for eigenmodes in systems with interfaces causing material discontinuities. We show that when interfaces deform, higher-order terms of the perturbation series can contribute to the eigenmode frequencies in first order in the deformation depth. In such cases, the first-order approximation is different from the usual diagonal approximation and its single-mode result. Extracting additional first-order corrections from all higher-order terms enables us to recover the diagonal formalism in a modified form. A general formula for the single-mode first-order correction to electromagnetic eigenmodes in systems with interfaces is derived, capable of treating dispersive, magnetic, and chiral materials of arbitrary shape.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	2643-1564
Funders:	EPSRC
Date of First Compliant Deposit:	5 April 2023
Date of Acceptance:	8 March 2023
Last Modified:	20 Jun 2023 17:07
URI:	https://orca.cardiff.ac.uk/id/eprint/158432

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