We present a theoretical research of the optical properties of the (3,12,12) hexagonal 2D Archimedean photonic crystals. The structures are made of GaAs dielectric rods in air. Our research is mainly focused on analyzing symmetry properties of the modes and the appearance of the uncoupled modes which strongly affects the propagation of the wave and the optical performances of the material.
In this paper we theoretically study (with plane wave expansion and finite-difference time-domain models) waveguiding effect of the 2D hexagonal dielectric photonic crystal tiling. The structure is made of GaAs dielectric rods in air. We perform the calculations of the band structures, equi-frequency contours and electromagnetic propagation through the new type of the photonic crystal and self-collimation waveguides making it possible for application.
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