Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction
From MaRDI portal
Publication:3427804
DOI10.1137/050633147zbMath1116.28005OpenAlexW1984603585MaRDI QIDQ3427804
Publication date: 27 March 2007
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/050633147
Maxwell equationsnonlocal effectsthin structurestwo-scale convergencemetamaterialscapacitary potentials
PDEs in connection with optics and electromagnetic theory (35Q60) Spaces of measures, convergence of measures (28A33) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Potentials and capacities on other spaces (31C15)
Related Items (15)
Small collaboration: Numerical analysis of electromagnetic problems. Abstracts from the mini-workshop held March 21--27, 2021 (hybrid meeting) ⋮ A Negative Index Meta-Material for Maxwell's Equations ⋮ Effective Maxwell's equations for perfectly conducting split ring resonators ⋮ Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials ⋮ Mathematical analysis of transmission properties of electromagnetic meta-materials ⋮ Second Order Homogenization of Subwavelength Stratified Media Including Finite Size Effect ⋮ Homogenization of an anisotropic elastic material reinforced by a small volume fraction of very stiff anisotropic fibers. Non local effects. Bending effects. Torsional effects ⋮ The geometric average of curl-free fields in periodic geometries ⋮ Resonance meets homogenization. Construction of meta-materials with astonishing properties ⋮ Effective acoustic properties of a meta-material consisting of small Helmholtz resonators ⋮ Homogenization of 3D finite photonic crystals with heterogeneous permittivity and permeability ⋮ Resonant effects in random dielectric structures ⋮ A notion of capacity related to elasticity: applications to homogenization ⋮ Effective Maxwell’s equations in general periodic microstructures ⋮ Homogenization of Norton--Hoff Fibered Composites with High Viscosity Contrast
This page was built for publication: Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction