Electromagnetic shielding by thin periodic structures and the Faraday cage effect

DOI10.5802/crmath.59zbMath1455.78009arXiv1806.10433OpenAlexW3102141860MaRDI QIDQ2213056

D. P. Hewett, Bérangère Delourme

Publication date: 27 November 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10433

zbMATH Keywords

time-harmonic Maxwell equationsscattering of electromagnetic wavesperfectly conducting obstacles

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Asymptotic expansions of solutions to PDEs (35C20) Composite media; random media in optics and electromagnetic theory (78A48) Electromagnetic theory (general) (78A25)

Related Items (1)

Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects

Cites Work

• Mathematics of the Faraday Cage
• ON THE WELL-POSEDNESS, STABILITY AND ACCURACY OF AN ASYMPTOTIC MODEL FOR THIN PERIODIC INTERFACES IN ELECTROMAGNETIC SCATTERING PROBLEMS
• Vector potentials in three-dimensional non-smooth domains
• Homogenized boundary conditions and resonance effects in Faraday cages
• Effective Maxwell’s equations in general periodic microstructures
• Finite Element Methods for Maxwell's Equations
• High‐order asymptotics for the electromagnetic scattering by thin periodic layers
• Two-scale homogenization to determine effective parameters of thin metallic-structured films
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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