Convergent Power Series for Fields in Positive or Negative High-Contrast Periodic Media

DOI10.1080/03605302.2010.531860zbMath1231.35245arXiv1007.2640OpenAlexW2963810486MaRDI QIDQ3104543

Santiago P. Fortes, Stephen P. Shipman, Robert P. Lipton

Publication date: 14 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2640

zbMATH Keywords

homogenizationgenerating functiondispersion relationphotonic crystaldouble porosityhigh contrastpower series solutionnegative indexBloch wavemeta-material

Mathematics Subject Classification ID

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

Related Items (4)

Bloch spectra for high contrast elastic media ⋮ Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials ⋮ Resonance and double negative behavior in metamaterials ⋮ High Contrast Elliptic Operators in Honeycomb Structures

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