Ray tracing and wave optics behavior of the Eaton lens and invisible sphere triangular lattice photonic crystal

Abstract

The Eaton lens and invisible sphere are known as devices that create fixed deflection angles in the ray trajectories striking them. The wave optics behavior of these tools, however, can be different. Two triangular lattice photonic crystals (TLPCs) composed of the Eaton lens and invisible sphere are studied in this paper. The differences between ray and wave optics behaviors in the TLPCs are explained. We investigate the ray trajectories in the two TLPCs, separately. Then, for studying wave behavior in TLPCs, the band structures of the two photonic crystals are extracted numerically. Transmission diagrams for six-layer TLPCs are also plotted to approve the band calculations. It is observed that, in some particular frequency ranges, the wave behavior in the TLPCs composed of the Eaton lens and invisible sphere can be quite opposite to the expected behavior of the rays.