【摘要】 对光纤光栅法布里-珀罗腔中稳态受激布里渊散射模型进行了理论分析,在其耦合强度方程组基础上,推导出仅产生一阶斯托克斯波时,耦合强度方程组的解析表达式,由此计算出光纤光栅法布里-珀罗腔中抽运波与斯托克斯波透射功率和反射功率。对于光纤光栅法布里-珀罗腔中二阶斯托克斯波的产生,推导出光纤光栅法布里-珀罗腔入射端抽运波的解析表达式和忽略光纤损耗时能量守恒方程,利用Shooting和L-M算法数值求解出耦合强度方程组。分析讨论了抽运波,一阶斯托克斯波和二阶斯托克斯波的反射与透射功率随着入射波功率变化的情况。最后,仿真出光纤光栅法布里-珀罗腔中,抽运波与斯托克斯波沿腔长分布的情况。更多还原

【Abstract】 The model of stimulated Brillouin scattering in fiber grating based Fabry-Perot resonator is studied. The analytical solution of steady state stimulated Brillouin scattering equations for the first-order Stokes wave is given, and its transmission power and reflection power are calculated. The analytical solution of pump wave at incident end and the equation of energy conservation with neglecting fiber attenuation are obtained. Numerical solution for second-order Stokes wave is then given using Shooting and Levenberg-Marguardt (L-M) methods under the boundary conditions. The dependence of the transmission power and reflection power of pump wave and Stokes wave on incident wave power is investigated. Furthermore, the distribution of the power of pump wave and Stokes wave in the Fabry-Perot resonator is simulated and discussed.更多还原