Homogenization of time harmonic Maxwell equations and the frequency dispersion effect

DOI10.1016/j.matpur.2010.10.007zbMath1228.35025OpenAlexW1973604357MaRDI QIDQ2430019

Youcef Amirat, Vladimir Shelukhin

Publication date: 5 April 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.10.007

zbMATH Keywords

two-scale convergencemulti-scale convergenceeffective dielectric permittivityeffective electric conductivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)

Related Items (8)

Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients ⋮ Homogenization of time-harmonic Maxwell's equations in nonhomogeneous plasmonic structures ⋮ Homogenization of composite electrets ⋮ High-Frequency Homogenization for Electromagnetic Heating of Periodic Media ⋮ Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect ⋮ Homogenization of harmonic Maxwell equations with allowance for interfacial surface currents: layered structure ⋮ A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations ⋮ Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations

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