Electromagnetic Bandgap Formation in Two-Dimensional Photonic Crystal Structure with DNG Materials under TE Mode

Abstract

Bandgap width within first Brillouin zone in metamaterial-based two-dimensional photonic crystal structure is analytically computed using plane wave expansion method. A wider range of negative refractive index is considered for simulation purpose within physically feasible limit whereas rectangular geometrical shape is taken into account for the analysis with TE mode of propagation. Artificial materials in presence of air holes are considered to achieve negative index, and results are compared with that obtained for conventional SiO2-air material system with equivalent dimensional configuration. Coordinates of two peak points, $\hbox{`}\Gamma\hbox{'}$ point and ‘X’, point are noted for all the DNG materials which give the indication of blueshift of the valence region with change of negative refractive index. Simulated findings speak in favor of multiple forbidden regions for some specific material systems which can be utilized to design photonic multi-channel filter in beyond THz region.