2008•Journal of Xi'an University of Post and TelecommunicationsRequires access

Band gap character analysis of hexagonal and kagomé lattice two-dimensional photonic crystal

Xiaoyan Li

Abstract

Using the plane wave expansion method(PWM),we calculate the photonic band gap(PBG) structure of two dimensional photonic crystal(PC) with hexagonal lattice and kagome lattice.Both the hexagonal lattice PCs and kagome lattice PCs consist of dielectric rod of circular cross section.It is shown that these PCs have PBG for TE and TM modes separately and exist absolute PBG for both TE and TM modes in some condition.The absolute PBG width of hexagonal lattice PCs is larger than kagome lattice PCs.

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Key concepts: Hexagonal lattice, Condensed matter physics, Crystal structure, Hexagonal crystal system, Lattice (music), Photonic crystal, Empty lattice approximation, Plane wave expansion method