Long wavelength limit of two dimensional photonic crystals
arXiv:0808.1554 · doi:10.1103/PhysRevE.78.065601
Abstract
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.