All-Optical 3-Input XOR Gate Design Using 4:1 Optical Multiplexer with the Proper Application of Nonlinear Kerr Switches

In this paper, a 4:1 photonic multiplexer has been developed utilizing a Kerr switch of nonlinear optical materials, featuring 4 inputs and a singular output. The all-optical nature of this photonic multiplexer is characterized by rapid response times in the terahertz speed range, rendering it valuable for higher-speed data communication systems. The utilization of a positive logic system and intensity-based coding is demonstrated, where the predetermined intensity of a light signal signifies binary 1, while its absence represents binary 0. The construction of this scheme involves the utilization of Binary Decision Diagrams, wherein the placement of nonlinear Kerr Switch at all nodal points represents a multiplexer-based design. Through the implementation of a Binary Decision Diagram-based photonic multiplexer design, a 3-input XOR gate has been constructed, demonstrating its versatility in various optical computing applications. The proposed approach’s efficacy is established through validation via mathematical computations and PYTHON simulations. This research holds promise for enhanced performance and versatility in industrial and commercial applications.