Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum

DOI10.1016/j.matpur.2020.07.001zbMath1460.31006arXiv1911.12294OpenAlexW3043788883MaRDI QIDQ2224710

Karl-Mikael Perfekt

Publication date: 4 February 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12294

zbMATH Keywords

spectrumlimiting absorption principlelayer potentialNeumann-Poincaré operator

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Eigenvalue problems for integral equations (45C05)

Related Items (8)

Comparison of integral equations for the Maxwell transmission problem with general permittivities ⋮ Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ The quasi-static plasmonic problem for polyhedra ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Series Expansions of the Layer Potential Operators Using the Faber Polynomials and Their Applications to the Transmission Problem ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review ⋮ Infinitely Many Embedded Eigenvalues for the Neumann--Poincaré Operator in 3D

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