Novel FEM Approach for the Analysis of Cylindrically Symmetric Photonic Devices

A novel scheme based on a 2-D finite element method (2-D-FEM) for the frequency domain, in cylindrical coordinates in conjunction with the perfectly matched layers (PML), is proposed and validated here. This scheme permits the analysis and simulation of photonic devices, including discontinuities along the propagation direction. Also, the present approach takes into account the dispersive nature of metals at optical wavelengths.     

Novel boundary condition for the finite-element solution ofarbitrary planar junctions

A novel boundary condition for a two-dimensional finite-element method (2D-FEM) is developed to simulate accessing waveguides to planar optical junctions. This new boundary condition is based on a paraxial approximation to the field's derivatives over the junction's ports. The formulation is very easily adapted within the 2D-FEM framework while providing good simulation results. Two examples are provided to show the applicability and reliability of the present method: a waveguide step discontinuity and a sharp waveguide bend