Homogenization of 3D finite photonic crystals with heterogeneous permittivity and permeability

DOI10.1080/17455030701607013zbMath1191.78046OpenAlexW2017424466WikidataQ60718620 ScholiaQ60718620MaRDI QIDQ3576514

Sébastien Guenneau, Frédéric Zolla, André Nicolet

Publication date: 30 July 2010

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030701607013

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Composite media; random media in optics and electromagnetic theory (78A48) Homogenization in optics and electromagnetic theory (78M40)

Related Items (11)

Negative index materials and their applications: recent mathematics progress ⋮ The factorization method for the Drude-Born-Fedorov model for periodic chiral structures ⋮ On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations ⋮ Homogenization of time-harmonic Maxwell's equations in nonhomogeneous plasmonic structures ⋮ Dynamic homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on gratings ⋮ On well-posedness of some homogenized Drude-Born-Fedorov systems on a bounded domain and applications to metamaterials ⋮ Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect ⋮ Effective acoustic properties of a meta-material consisting of small Helmholtz resonators ⋮ Negative index materials: some mathematical perspectives ⋮ Cloaking a vertical cylinder via homogenization in the mild-slope equation ⋮ Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations

Uses Software

• GetDP

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