Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap

DOI10.1137/22m1508881zbMath1526.35044arXiv2205.05377MaRDI QIDQ6051540

No author found.

Publication date: 20 October 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.05377

zbMATH Keywords

resonanceelectromagnetic scattering problemsubwavelength structure

Mathematics Subject Classification ID

Resonance in context of PDEs (35B34) Maxwell equations (35Q61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical analysis of plasmonic nanoparticles: the scalar case
• Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function
• The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
• Extraordinary transmission through a narrow slit
• A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators
• Scattering resonances for a three-dimensional subwavelength hole
• Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
• Enhancement of Electromagnetic Fields Caused by Interacting Subwavelength Cavities
• Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity
• Eigenvalues of the Laplacian in Two Dimensions
• Positive Integrals of Bessel Functions
• Mathematical and Computational Methods in Photonics and Phononics
• Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method
• Fano resonance in metallic grating via strongly coupled subwavelength resonators
• A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits
• Mathematical Theory of Scattering Resonances
• Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
• Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
• Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
• Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion
• Inverse acoustic and electromagnetic scattering theory