An efficient finite-element-method-based scattering operator (FEM-SO) is proposed. Utilizing field based propagation operators as boundary conditions, arbitrary light waves including radiation and evanescent waves can be treated at input and output ports. In contrast to conventional scattering operator techniques, the FEM-SO is applicable to arbitrary structures by using finite element models. In addition, considering structural discontinuities at the connecting boundary of scattering operators, an interface matrix to satisfy the boundary conditions between unit structures is introduced. To verify the present approach, numerical examples are shown for propagation characteristics of high-index-contrast waveguide facet and power spectrum of a photonic-crystal Fabry–Pérot (FP) cavity filter.

中文翻译：

---

光波导中任意有限元模型的新型散射算子

提出了一种有效的基于有限元方法的散射算子（FEM-SO）。利用基于场的传播算子作为边界条件，可以在输入和输出端口处处理包括辐射和e逝波在内的任意光波。与传统的散射算子技术相比，FEM-SO通过使用有限元模型可应用于任意结构。另外，考虑到散射算子的连接边界处的结构不连续性，提出了满足单元结构之间边界条件的界面矩阵。为了验证本方法，给出了高折射率对比度波导刻面的传播特性和光子晶体法布里-珀罗（FP）腔滤波器的功率谱的数值示例。