Design and performance analysis of all-optical 1:4 and 1:8 high speed demultiplexer using InGaAsP–InP optical microring resonator in Z-domain

Design and analysis of all-optical carry lookahead adder using microring resonator in Z-domain

“…A 2×2 transfer matrix is typically used to illustrate the input-output relationship of a ring resonator, given as 27 (EpoEqo)=g(C−js−jsC)(EpiEqi),where input signals are Epi, Eqi, and Epo; output signals are Eqo; the coupler’s amplitude transmission coefficient is g; the TP output co-efficient is C=1−k; and the DP output coefficient is −js=−jk. The coupling ratio of the coupler is denoted by k.…”

“…The total delay is the integer multiple of the unit delay, according to the delay line signal processing approach. The unit delay is represented by T=nlμ/c, 27 where n represents the RI, lμ represents the unit delay length, and c is the velocity of light. The TF of each MRR port is determined using the signal flow graph (SFG) approach and Mason’s gain formula.…”

“…The TF of the output for the above FB for implementing the CLA is determined using Mason’s gain equation of the SFG as 27 TF=1Δ∑ΔkFk,where normalΔk represents the value of Δ for the path of the graph that is the part of the graph that is not touching the K’th forward path, Fk represents the gain of the k’th forward path, and Δ is the determinants of the SFG. Δ is calculated as Δ=1−[Sum of the loop gain of all individual loops ()]+[Sum of gain products of allpossible of two non-touching loops ()]+[Sum of gain products of all possible threenon-touching loops ()])+…….[where i,j,k vary from 1 to number of loops].…”