Band structure of superconducting photonic crystals

Abstract

The band structure of a two-dimensional superconducting photonic crystal is investigated. This crystal is considered a periodic system of nonoverlapping cylinders that have a circular cross section and are infinite in length. The results are obtained using the method of plane wave expansion of eigenfunctions. The photonic band structure is analyzed for two temperatures, namely, in the vicinity of the superconducting transition point and far from it. The two-dimensional superconducting photonic crystal is found to have complete and incomplete band gaps at low temperatures. As the temperature increases, these band gaps shift toward the short-wavelength range.