Vol. 43, Issue 4, pp. 843-856

Abstract

In this paper, we study dispersion properties in a two- dimensional metallo-dielectric nanophotonic crystal that contains dielectric rods with metallic shell in air background with two-type structures: triangular and honeycomb, based on the modified plane wave expansion method. First, the eigenvalue equations for E polarization (TM modes) and H polarization (TE modes) are derived. We draw dispersion curves and compare them with a traditional photonic crystal. Then, the effects of different thicknesses of the metallic shell are analysed on the photonic band gap. Several metals have been studied and their influence on the band gap width is investigated. Our results show that we have large photonic band gap in TM mode when we use a metallic shell on the dielectric rod compared with a traditional photonic crystal in both structures. Also, we have large photonic band gap in TE mode in the honeycomb structure. Moreover, there is very thin photonic band gap in TE mode in the triangular structure. For both structures, the band gap width will be increased by the enhancement of thickness of the metallic shell. This enhancement in TM mode is higher than TE mode. In addition, flat bands are discovered in two-dimensional metallo-dielectric photonic band structures. All of our calculations have been done by using the Drude model of metal.