New designs of a complete set of Photonic Crystals logic gates

In this paper, we introduce new designs of all-optical OR, AND, XOR, NOT, NOR, NAND and XNOR logic gates based on the interference effect. The designs are built using 2D square lattice Photonic Crystal (PhC) structure of dielectric rods embedded in air background. The lattice constant, a, and the rod radius, r, are designed to achieve maximum operating range of frequencies using the gap map. We use the Plane Wave Expansion (PWE) method to obtain the band structure and the gap map of the proposed designs. The operating wavelengths achieve a wide band range that varies between 1266.9 nm and 1996 nm with center wavelength at 1550 nm. The Finite-Difference Time-Domain (FDTD) method is used to study the field behavior inside the PhC gates. The gates satisfy their truth tables with reasonable power contrast ratio between logic '1' and logic '0'.