Ref HAL: hal-00437963_v1
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We propose the fusion of the superprism effect and of the second harmonic generation: small variations of the fundamental field parameters cause large variations in the direction of the second harmonic emission. Phase matching conditions with very different propagation directions for the fundamental and the second harmonic fields are achieved inside 2D PCs. These results are obtained by the use of a multiple scattering method extended to the second harmonic generation problem. This nonlinear effect could possibly be applied for the design of new directional compact sources or of sensor devices.

Ref HAL: hal-00437953_v1
PMID 17358725
DOI: 10.1103/PhysRevLett.98.037403
WoS: 000243587200064
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48 Citations
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We present a two-step homogenization method for composite metamaterials. First, each layer of wires or resonators is homogenized as a slab with negative permittivity or permeability, respectively. Second, the single negative stack which results is homogenized to form the effective medium. Comparing the predictions of the first and second step can serve as a gauge of the homogeneity of the composite. We thus take a gradual approach to homogenization, asking not whether, but to what extent a composite metamaterial approaches the sought after effective medium. Our two-step approach can also capture phenomena which otherwise may be wrongly attributed to effective medium behavior. We illustrate by qualitatively reproducing and reinterpreting a set of experimental data from the literature.

Ref HAL: hal-00437532_v1
PMID 17678092
DOI: 10.1103/PhysRevLett.98.263903
WoS: 000247625100024
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26 Citations
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We demonstrate an isotropic phase matching in properly designed nonlinear two-dimensional photonic crystals. In addition, by combining left- and right-handed properties at the fundamental and second-harmonic frequencies, we obtain a backward second-harmonic generation. These two properties lead to an unusual second-harmonic localization effect in perfect lattice photonic crystals.

Ref HAL: hal-00128531_v1
Ref Arxiv: physics/0702006
Ref. & Cit.: NASA ADS
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The negative shifts seen by Wang and Zhu are not due to the excitation of surface plasmons but to leaky modes of the slab propagating backward. Provided the characteristics of the LHM slab are chosen correctly, it is shown that a leaky surface plasmon can actually be excited using the KR configuration.

Commentaires: Accepté pour publication...

Ref HAL: hal-00437973_v1
DOI: 10.1137/050633147
WoS: 000241856500011
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55 Citations
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We consider the diffraction of a monochromatic incident electromagnetic field by a bounded obstacle made of parallel high conducting metallic fibers of finite length which are periodically disposed. Our goal is to study the asymptotics of this three-dimensional Maxwell problem as the period, the thickness of the rods, and the resistivity are simultaneously small. We solve this problem in the case where the filling ratio of fibers vanishes but their capacity remains positive. We find a limit volumic density of current which results in a nonlocal constitutive relation between the electric and displacement fields. This extends previous results obtained in the polarized case where a two-dimensional effective local equation was found with a possibly negative effective permittivity.

Ref HAL: hal-00437974_v1
PMID 17280011
DOI: 10.1103/PhysRevE.74.056612
WoS: 000242408800053
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32 Citations
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In this paper, a wire mesh metallic photonic crystal is modelized as a stack of gratings of period d made of very thin infinitely metallic rods (the conductivity is assumed to be infinite) of radius a (a << d). This structure is illuminated by a s-polarized plane wave of wavelength lambda. First, we give the diffracted field in closed form for very large wavelengths compared to the period (lambda >> d). We derive a very accurate formula for the cut wavelength and we show that the plasma frequency in wire photonic crystals depends upon the Bloch vector. This latest formula is checked numerically.

Ref HAL: hal-00437975_v1
DOI: 10.2971/jeos.2006.06021
WoS: 000206312700025
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10 Citations
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We show that resonant second harmonic generation can be obtained in random dielectric structures. The scheme is based on internal resonances due to the optical counterpart of Anderson localization. By making use of different localization lengths at the fundamental and at the second harmonic frequencies, we predict a conversion efficiency that is four orders of magnitude higher than a bulk material and even one order of magnitude higher than an ideal phase matched slab of the same size. The method is highly insensitive to fabrication tolerances, and provides excellent angle tunability. [DOI:10.2971/jeos.2006.06021]