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- W2061781322 abstract "Recently, 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 epsilon(omega) whose law is represented by a density on a window Delta=[a,b]x[0,h] of the complex plane. We give precise conditions on the initial probability law (permittivity, radius and position of the rods) under which the homogenization process can be performed leading to a deterministic dispersion law for the effective permeability with possibly negative real part. Subsequently a limit analysis h->0, accounting a density law of epsilon, which concentrates on the real axis, reveals singular behavior due to the presence of resonances in the microstructure." @default.
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- W2061781322 date "2013-05-30" @default.
- W2061781322 modified "2023-09-27" @default.
- W2061781322 title "Resonant effects in random dielectric structures" @default.
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