A performance analysis of all-optical clock extraction circuit based on stimulated brillouin scattering

In this paper, we develop an analytical method to deal with the timing perf ormance in an optical clock extraction circuit based on stimulated Brilloui n scattering (SBS), Three kinds of SBS active filters are considered and th eir frequency-transfer functions are obtained under the assumption that pum p depletion caused by SBS is negligible. When pump depletion is taken into account, an SBS active filter acts as a nonlinear filter. To investigate th e timing performance at this situation, we introduce the concept of "dynami c frequency-transfer function" to describe its frequency-response property for a fixed-signal light and pump light. Using the obtained "Frequency-tran sfer function," we give analytical expressions for both root-mean-square (r ms) phase jitter and rms amplitude jitter of the extracted optical clock, i n which we have taken the impacts of SBS gain, pump light linewidth, optica l pulse chirp, and pump detuning into account. Finally, a detailed numerica l investigation on the timing performance for the three active filters is p resented.