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Titlebook: Wave Propagation in Complex Media; George Papanicolaou Book 1998 Springer-Verlag New York, Inc. 1998 Approximation.Green‘s function.algori

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2d photonic crystals with cubic structure: asymptotic analysis,into a lossless optically dense host material with the dielectric constant ε > 1. We show that if ε is large enough and the relative distance δ between the air columns is such that εδ ≫ 1 and εδ. ≪ 1, then the corresponding Maxwell operator has a series of gaps in the spectrum. In particular, the ty
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On waves in random media in the diffusion-approximation regime,working on waves in random media (F. Bailly, J. Chilian, J.F. Clouet, J.P. Fouque and J. Gamier). These results are based on various generalizations of classical diffusion-approximation results. In the first section we study the spreading of fin acoustic pulse travelling through a randomly layered m
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2d photonic crystals with cubic structure: asymptotic analysis,into a lossless optically dense host material with the dielectric constant ε > 1. We show that if ε is large enough and the relative distance δ between the air columns is such that εδ ≫ 1 and εδ. ≪ 1, then the corresponding Maxwell operator has a series of gaps in the spectrum. In particular, the ty
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