Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance

2015/01/13 by Hyeonbae Kang, Mikyoung Lim, Kang, Hyeonbae +3
Computer Science · Mathematics · #35J47 #35P05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1501.02952

openalex publication_date 2015/01/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to investigate the spectral nature of the Neumann-Poincaré operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows in particular that it admits only the absolutely continuous spectrum, no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution the plasmon resonance at the absolutely continuous spectrum.

Citations

• Spectral bounds for the Neumann-Poincar 'e operator on planar domains\n with corners

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