In [G. Bouchitté and D. Felbacq, C. R. Math. Acad. Sci. Paris 339 (2004) 377–382; D. Felbacq and G. Bouchitté, Phys. Rev. Lett. 94 (2005) 183902; D. Felbacq and G. Bouchitté, New J. Phys. 7 (2005) 159], a theory for artificial magnetism in two-dimensional photonic crystals has been developed for large wavelength using homogenization techniques. In this paper we pursue this approach within a rigorous stochastic framework: dielectric parallel nanorods are randomly disposed, each of them having, up to a large scaling factor, a random permittivity
DOI : 10.1051/cocv/2014026
Mots-clés : Stochastic homogenization, photonic crystals, metamaterials, micro-resonators, effective tensors, dynamical system
@article{COCV_2015__21_1_217_0, author = {Bouchitt\'e, Guy and Bourel, Christophe and Manca, Luigi}, title = {Resonant effects in random dielectric structures}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {217--246}, publisher = {EDP-Sciences}, volume = {21}, number = {1}, year = {2015}, doi = {10.1051/cocv/2014026}, zbl = {1315.35020}, mrnumber = {3348421}, language = {en}, url = {https://www.numdam.org/articles/10.1051/cocv/2014026/} }
TY - JOUR AU - Bouchitté, Guy AU - Bourel, Christophe AU - Manca, Luigi TI - Resonant effects in random dielectric structures JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2015 SP - 217 EP - 246 VL - 21 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2014026/ DO - 10.1051/cocv/2014026 LA - en ID - COCV_2015__21_1_217_0 ER -
%0 Journal Article %A Bouchitté, Guy %A Bourel, Christophe %A Manca, Luigi %T Resonant effects in random dielectric structures %J ESAIM: Control, Optimisation and Calculus of Variations %D 2015 %P 217-246 %V 21 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2014026/ %R 10.1051/cocv/2014026 %G en %F COCV_2015__21_1_217_0
Bouchitté, Guy; Bourel, Christophe; Manca, Luigi. Resonant effects in random dielectric structures. ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 1, pp. 217-246. doi : 10.1051/cocv/2014026. https://www.numdam.org/articles/10.1051/cocv/2014026/
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