论文部分内容阅读
利用有效折射率法计算聚合物脊形光波导的横向折射率分布,将三维光传播问题简化为二维问题;从导模满足的标量波动方程出发,采用慢变包络和傍轴近似,得出传播光场满足的单步传输约束关系;运用微分算子的级数展开得到相应的递归公式,考虑微分算子的差分近似得出基本的计算格式;运用对称矩阵的相似变换对算子展开法进行加速处理。在此基础上,对马赫-曾德尔(M-Z)型光波导中TM模的传播特性进行理论分析,研究了脊宽、分支角等结构参数对插入损耗的影响。研究表明,算子展开束传播法可以较好地解决聚合物脊形M-Z波导的理论分析和设计问题。该方法精度高、计算量小,为聚合物电光调制器的制备提供了理论依据。
Using the effective refractive index method to calculate the lateral refractive index distribution of the polymeric ridge waveguide, the problem of three-dimensional optical propagation is reduced to a two-dimensional problem. Based on the scalar wave equation satisfying the guided mode, the slow-varying envelope and the paraxial approximation The propagation of the light field satisfies the single-step transmission constraints; the use of differential operators series expansion to obtain the corresponding recursive formula, taking into account the differential approximation differential operator derived basic calculation format; using symmetric matrix similar transformation of the operator expansion Law to speed up processing. On this basis, the propagation characteristics of TM mode in Mach-Zehnder optical waveguide are theoretically analyzed, and the influence of structural parameters such as ridge width and branch angle on insertion loss is studied. The research shows that operator spread beam propagation method can solve the theoretical analysis and design problems of polymer ridge M-Z waveguide. The method has high precision and small calculation, which provides a theoretical basis for the preparation of polymer electro-optic modulator.