A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits

DOI10.1137/19M1275711zbMath1448.35098arXiv1904.11019OpenAlexW3084282761MaRDI QIDQ5123485

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Publication date: 29 September 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11019

zbMATH Keywords

Helmholtz equationembedded eigenvalueselectromagnetic field enhancementsubwavelength structureFabry-Perot resonance

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Electromagnetic field enhancement in a subwavelength rectangular open cavity ⋮ Acoustic passive cloaking using thin outer resonators ⋮ Fano resonance in metallic grating via strongly coupled subwavelength resonators ⋮ A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators ⋮ Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation ⋮ Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap ⋮ Bound states in the continuum and Fano resonances in subwavelength resonator arrays ⋮ Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament ⋮ Scattering resonances for a three-dimensional subwavelength hole ⋮ Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method

Cites Work

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• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
• Guided Modes in Periodic Slabs: Existence and Nonexistence
• Resonant electromagnetic scattering in anisotropic layered media
• Effects of Configuration Interaction on Intensities and Phase Shifts

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