Realization of All-Optical Full Adder and Subtractor Circuit based on Cross-Phase Modulation in a Phase-Shifted Fiber Bragg Grating

This study presents a technique for implementing all-optical Full Adder (FA) and Full Subtractor (FS) functionalities utilizing a Fiber Bragg Grating (FBG) structure. The proposed method exploits the cross-phase modulation (XPM) mechanism within a phase-shifted FBG (PSFBG) configuration. An analysis of basic gate operations and corresponding switching phenomena is provided, along with the optimization and implementation of FA and FS circuits using the PSFBG structure. Extensive simulations, validated against conventional circuits and truth tables, demonstrate the efficacy of the proposed approach. The coupled-mode theory governing FBG behavior as an optical switching element is elucidated, along with mathematical descriptions of FBG and PSFBG functionalities for switching applications. MATLAB simulations are employed for comprehensive analysis and validation of the proposed all-optical FA and FS schemes. This work contributes to the advancement of all-optical computing techniques, facilitating efficient high-speed data processing with notable optical communication benefits.