Abstract
We theoretically investigate the dynamics of cascaded stimulated Brillouin scattering (CSBS) in a short-fiber Fabry–Perot resonator with reflection mirrors. The analysis is based on the coherent fourteen-wave model assuming the generation of up to third-order Stokes waves. Moreover, the cavity detunings for a pump wave and each Stokes wave and the optical Kerr effect are taken into account in the formulation. The temporal evolution of the pump power and each Stokes power is calculated for step and Gaussian input pulses. The threshold power for SBS and the boundary power between the stable and unstable regions are numerically calculated as a function of the amplitude reflectance of mirrors for different cavity detunings. The generation and dynamics of CSBS depend strongly on the pump power and mirror reflectance. Since higher order Stokes waves are successively generated with a finite time delay, their generation does not take place for short pulsed input where the treatment of transient phenomena is required. The experimental results obtained with a single-frequency pulsed YAG laser agree qualitatively with theoretical predictions.
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