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

DOI10.1007/s00205-017-1129-9zbMath1386.35285arXiv1501.02952OpenAlexW1521114117MaRDI QIDQ2408177

Mikyoung Lim, Hyeonbae Kang, Sanghyeon Yu

Publication date: 10 October 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02952

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear operators on function spaces (general) (47B38) Physical optics (78A10)

Related Items (27)

Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance ⋮ Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Analytical shape recovery of a conductivity inclusion based on Faber polynomials ⋮ Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions ⋮ Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations ⋮ Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ Geometric series expansion of the Neumann–Poincaré operator: Application to composite materials ⋮ Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ Quantum ergodicity and localization of plasmon resonances ⋮ Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions ⋮ Spectral analysis of the Neumann-Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance ⋮ Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients ⋮ The transmission problem on a three-dimensional wedge ⋮ Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum ⋮ The essential spectrum of the Neumann-Poincaré operator on a domain with corners ⋮ Mathematical analysis of plasmonic nanoparticles: the scalar case ⋮ The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points ⋮ A decay estimate for the eigenvalues of the Neumann-Poincaré operator using the Grunsky coefficients ⋮ Embedded eigenvalues for the Neumann-Poincaré operator ⋮ Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry ⋮ A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions ⋮ Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal ⋮ Spectral structure of the Neumann-Poincaré operator on tori ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
• Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities
• The essential spectrum of the Neumann-Poincaré operator on a domain with corners
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann-Poincaré operator
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Spectral analysis of the Neumann-Poincaré operator and characterization of the stress concentration in anti-plane elasticity
• Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance
• Spectral bounds for the Neumann-Poincaré operator on planar domains with corners
• Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
• Poincaré's variational problem in potential theory
• A variational perspective on cloaking by anomalous localized resonance
• Spectral properties of the Neumann–Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients
• Pointwise bounds on the gradient and the spectrum of the Neumann-Poincaré operator: The case of 2 discs
• Localized and complete resonance in plasmonic structures
• The plasmonic eigenvalue problem
• Symmetry of a boundary integral operator and a characterization of a ball

This page was built for publication: Spectral resolution of the Neumann-Poincaré operator on intersecting disks and analysis of plasmon resonance