Novel Scattering Operator for Arbitrary Finite Element Models in Optical Waveguides

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-Perot (FP) cavity filter.

Automated summary

An efficient finite-element-method-based scattering operator (FEM-SO) is proposed in this paper, which utilizes field-based propagation operators as boundary conditions to handle arbitrary light waves, applicable to arbitrary structures. An interface matrix is introduced to address structural discontinuities at the connecting boundary of scattering operators. Numerical examples demonstrate the effectiveness of this approach.