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交叉波导是集成光学中的一种重要的器件单元 ,针对大角度交叉波导的结构及折射率分布 ,运用基于广义道格拉斯算子的宽角多步有限差分光束传播法模拟大角度交叉波导的传输特性 ,数值计算出波导中的光场的分布。与Crank Nicholson格式的有限差分光束传播法相比 ,该算法在几乎不增加计算时间和计算机内存资源的情况下 ,结合了广义道格拉斯格式的有限差分光束传播法截断误差小 [只有o(Δx) 4 ]和宽角多步法所具有较高精度的优点 ,是光波导器件理想的数值模拟工具。在此基础上计算分析了大角度交叉波导的输出分支波导的能量与交叉角度的关系 ,以及交叉角度对波导间能量耦合的影响。这为实际的设计制作光器件的工作提供了极好的基础
The cross-waveguide is an important device unit in integrated optics. According to the structure and refractive index distribution of the large-angle cross-waveguide, the transmission characteristics of the large-angle cross-waveguide are simulated by the wide angle and multi-step finite difference beam propagation method based on the generalized Douglas operator , Numerical calculation of the waveguide in the light field distribution. Compared with finite difference beam propagation method in Crank Nicholson scheme, the proposed algorithm combines the finite difference beam propagation method with the generalized Douglas format with little truncation error [only o (Δx) 4] with little computation time and computer memory resources. And wide-angle multi-step method with the advantages of higher accuracy, ideal for optical waveguide device numerical simulation tools. On this basis, the relationship between the energy of the output branch waveguide and the crossing angle and the influence of the crossing angle on the energy coupling between the waveguides are calculated and analyzed. This provides an excellent foundation for the actual design of optical devices