Band Structure Calculations for Two-Dimensional Plasma Photonic Crystals in Honeycomb Lattice Arrangement

We propose an approach originating from plane wave expansion method to calculate band structure for two types of honeycomb lattice two-dimensional plasma photonic crystals. The eigenvalue equations of E-polarization for two types of structures, which depend on the honeycomb lattice realization(plasma rods immersed in dielectric background or vice versa), are derived respectively. A standard linearization technique which solves the general nonlinear eigenvalue problem has been used to obtain the photonic band structures. The resulting complex band structure yields, in addition to the dispersion curves, the dissipation of each type as it propagates through the system. By properly selecting structure parameters for the two types of plasma photonic crystals, moderate band structures can be obtained to meet the needs of application. The proposed method can be used for any infinite periodic lattice and the results may provide theoretical instructions to design new optoelectronic devices.