Fano resonance in metallic grating via strongly coupled subwavelength resonators

DOI10.1017/S0956792520000200zbMath1504.35048arXiv1911.01025OpenAlexW3039909324MaRDI QIDQ5056751

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Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.01025

zbMATH Keywords

Helmholtz equationFano resonancephotonics subwavelength structure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34)

Related Items (4)

Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials ⋮ 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 ⋮ Scattering resonances for a three-dimensional subwavelength hole

Cites Work

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• Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays
• The Green's function for the two-dimensional Helmholtz equation in periodic domains
• Linear integral equations.
• Enhancement of Electromagnetic Fields Caused by Interacting Subwavelength Cavities
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Mathematical and Computational Methods in Photonics and Phononics
• A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits
• Double-negative acoustic metamaterials
• Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
• Effects of Configuration Interaction on Intensities and Phase Shifts

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