Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory

DOI10.1137/140997890zbMath1342.35366OpenAlexW2175713687MaRDI QIDQ3195454

Fernando Reitich, Junshan Lin

Publication date: 19 October 2015

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

Full work available at URL: https://semanticscholar.org/paper/7e68aa4e497f60f75aadf42f2272582e43e52fb2

zbMATH Keywords

electromagnetic field enhancement2-dimensional Helmholtz equationnano gapsub-wavelength structure

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Maxwell equations (35Q61)

Related Items (6)

Electromagnetic field enhancement in a subwavelength rectangular open cavity ⋮ A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits ⋮ An integral equation method for numerical computation of scattering resonances in a narrow metallic slit ⋮ Scattering resonances for a three-dimensional subwavelength hole ⋮ Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal ⋮ Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

Cites Work

• Inverse acoustic and electromagnetic scattering theory.
• Elliptic partial differential equations of second order
• A mathematical analysis of the resonance of the finite thin slots
• Imaging of Local Surface Displacement on an Infinite Ground Plane: The Multiple Frequency Case
• Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
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