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Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2010

Homogenization of Dielectric Photonic Quasi Crystals

Sébastien Guenneau

Résumé

We adapt two-scale convergence to the homogenization of photonic quasi-periodic structures such as Penrose tilings. This convergence relies upon the irrational nature of a parameter characterizing a quasi-crystalline phase through its associated cut-and-projection matrix of permittivity: We generate quasi crystals by considering a periodic structure in an upper-dimensional space. We apply this tool to the homogenization of the vector Maxwell system.
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Dates et versions

hal-00544537 , version 1 (08-12-2010)

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Guy Bouchitté, Sébastien Guenneau, Frédéric Zolla. Homogenization of Dielectric Photonic Quasi Crystals. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2010, 8 (5), pp.1862-1881. ⟨10.1137/090770333⟩. ⟨hal-00544537⟩
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