多重散射理论声光耦合波方程的龙格-库塔法数值分析

Numerical Analysis of Coupled-wave Equation Derived from Multiple Scattering Theory Using Rouge Kutta Method

提出利用直观、方便且具有普遍性的 4阶龙格 库塔 (R K)方法求解基于多重散射理论推导出的声光耦合波方程,模拟计算布喇格衍射下衍射效率随各关键参数的变化关系,分析入射光偏离Bragg角对Bragg衍射光效率的影响程度,以及最佳Bragg衍射效率所需参数的选取问题 模拟结果表明:Q(Klein Cook参数) =4π时Bragg衍射效率可达 97%,证实了特征长度作为选取声光互作用长度的合理性.

Fourth-order Runge-Kutta method was proposed to solve the acousto-optic couple-wave equation derived from the multiple scattering theory. Bragg diffraction efficiency varying with the key parameters was numerical simulated. The relation between the Bragg diffraction efficiency and the incidence light which was deflected from the exact Bragg incidence angle was analyzed. The optimal parameters selected according to the Bragg diffraction efficiency was discussed too. The numerical simulation result showed that, when Q = 4π, the Bragg diffraction efficiency was 97%, this was coincident with the traditional characteristic length.