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First-order perturbation theory of eigenmodes for systems with interfaces

Sztranyovszky, Zoltan, Langbein, Wolfgang ORCID: and Muljarov, Egor ORCID: 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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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

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