Bloch vector dependence of the plasma frequency in metallic photonic crystals

Abstract : 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.
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Submitted on : Tuesday, December 1, 2009 - 10:42:03 PM
Last modification on : Monday, March 4, 2019 - 2:04:12 PM

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Frederic Zolla, Didier Felbacq, Guy Bouchitté. Bloch vector dependence of the plasma frequency in metallic photonic crystals. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2006, 74, pp.056612. ⟨10.1103/PhysRevE.74.056612⟩. ⟨hal-00437974⟩

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