First-order perturbation theory of eigenmodes for systems with interfaces

Z. Sztranyovszky, W. Langbein, E. A. Muljarov

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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.
Original languageEnglish
Article number013209
Number of pages19
JournalPhysical Review Research
Issue number1
Publication statusPublished - 28 Mar 2023


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