Asymptotic analysis of dispersion characteristics in two-dimensional metallic photonic band gap structures

We present a self-consistent technique for the asymptotic analysis of dispersion curves in two-dimensional (2D) metallic photonic band gap (PBG) structures representing square and triangular arrays of metal rods. The technique is applicable for the structures with rod radii (a), which are small compared to the distance between the rods (b) and to the wavelength (λ). The induced current and charge distributions on the rods are expressed self-consistently in terms of the electromagnetic wave field. The dispersion characteristics are calculated for the TE and TM modes. The results are in agreement with those obtained previously using the Photonic Band Gap Structure Simulator (PBGSS) code.