Bloch vector dependence of the plasma frequency in metallic photonic crystals.
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.
Zolla
Frédéric
F
Institut Fresnel, UMR 6133, Case 161, Université Aix-Marseille I, Av. Escadrille Normandie Niemen, 13 397 Marseille Cedex 20, France.
Felbacq
Didier
D
Bouchitté
Guy
G