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arxiv: 0808.1554 · v2 · submitted 2008-08-11 · ❄️ cond-mat.mtrl-sci · cond-mat.other

Long wavelength limit of two dimensional photonic crystals

classification ❄️ cond-mat.mtrl-sci cond-mat.other
keywords crystalsdimensionallimitlongphotonicwavelengthanalyticallyapproximations
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We solve {\bf analytically} the multiple scattering (KKR) equations for the two dimensional photonic crystals in the long wavelength limit. Different approximations of the electric and magnetic susceptibilities are presented from a unified pseudopotential point of view. The nature of the so called plasmon-polariton bands are clarified. Its frequency as a function of the wire radius is discussed.

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