High quality of logic gates from the return arm of a Sagnac fiber interferometer

In this paper, we analyze the characteristics of obtaining logic functions and logic gates in the reflected output of the Sagnac interferometer by unbalancing the interferometer through the effects of group velocity dispersion and self-phase modulation, mapped by the influence of the extinction ratio (XR) and also analyze the logic gates of better quality by proposing accuracy precision ratio (PR) defined. We studied the phase variation in the phase inserted to the input and we analyzed the related parameters of modulation. We investigated intrinsic features of reflection of the Sagnac interferometer and obtained the logic gates AND, OR, and XOR, and the logical functions ZERO, ONE, A·B¯$ A\cdot \bar{B} $ and A¯·B$ \bar{A}\cdot B $. A specific situation happens when ρ = 0.3 and |ε|=0.059W1/2$ |\varepsilon | = 0.059 \, {\text{W}}^{1/2} $, where we find the logic gates AND, OR, and XOR. Of all results, the XOR logic gate was obtained in a greater phase variation interval. The XR had the highest contrast when ρ = 0.2 and |ɛ| = 0.028 W1/2. The proposed reconfigurable theoretical set-up gives a contribution to the design of optical networks by the analysis of the obtained logic gates and logic functions in an all-optical environment. The best quality logic gate is the AND gate presenting the |PRTOTAL| = 34.99 when Δϕ=0.798π,ρ=0.3andε=0.059W1/2$ \Delta \phi = 0.798\pi ,\ \rho = 0.3 {\text{and}} \ \left| \varepsilon \right| = 0.059\, {\text{W}}^{1/2} $.