中文摘要：

对光纤中受激布里渊散射（SBS）的耦合波方程进行了合理的近似和简化，在瞬态SBS过程的耦合波方程的基础上，构建了数值计算的模型。特别是对变芯径锥度光纤中的SBS耦合波方程进行数值求解，得到了受激散射过程中抽运光和斯托克斯光的功率在传播过程中的变化规律，并比较了光纤参数对SBS的影响，优化了锥度光纤作为高功率高重复频率激光二极管抽运固体激光器中的相位共轭镜应用中的参数，为其在改善光束质量中的应用提供了系统的参数优化规律。此外，将模拟数据与实验数据进行对比，验证了模型的合理性。

英文摘要：

Reasonable approximations and simplifications of the coupled wave equations of stimulated Brillouin scattering （SBS） in fibers are carried out. Based on the coupled wave equations of transient SBS, a numerical model is built. As these coupled wave equations of SBS are solved, especially in the tapered fiber with variable core diameter, the powers of the pump wave and the Stokes wave in the process of SBS are obtained, including the variation laws of them and the distinctions of the SBS in the fibers with different parameters. Based on the analyses, the parameters of the tapered fiber, which is used as a phase-conjugating mirror in high power and high repetition rate laser diode pumped solid state lasers, are optimized. It provides parameter optimization rules of the system in the applications for beam quality improvement. In addition, the rationality of the model is verified by comparing simulation results with experimental results.