Realization of all optical half-adder based on self-collimated beams by two-dimensional photonic crystals

We propose a novel all optical half adder composed of the logic gate XOR and AND which is based on the self-collimated beams in the two-dimensional photonic crystals. Our proposed structure is consisted of line defect acting as a splitter and the two output ports function as the SUM port and CARRY port. The electric field distribution is obtained by the Finite-difference time-domain method. Here, the logic state of “1” and “0” at output port are defined as the transmission is larger than 0.5 and less than 0.25, respectively. The design has the advantage of device compactness and valuable for photonic integration circuits application.