Application of self-collimated beams in realizing all-optical photonic crystal-based half-adder

In this paper an all-optical half-adder was proposed by using self-collimation effect in two-dimensional photonic crystals. Self-collimation effect was obtained in XM direction for wavelength 1500 nm by using square lattice rod-type photonic crystal structure. Plane wave expansion and finite-difference time-domain methods were used to obtain the band structure diagram and simulate the optical behavior of the proposed structure, respectively. The maximum delay time and required input intensity are 1 ps and 54 mW/μm², respectively. The normalized power-level margins for logics 0 and 1 were obtained to be about 20 and 70%, respectively. The total footprint of the structure is about 75 μm², which is suitable for all optical integrated circuits.