Adaptive mesh generation for full-vectorial guided-mode and beam-propagation solutions

A simple and efficient adaptive mesh generation algorithm is proposed for the full-wave finite-element analysis of optical waveguides using edge/nodal hybrid elements. We employ a local weight defined by a difference between the fundamental and the higher order element solutions. This method can be used for both the guided-mode analysis and the beam-propagation analysis. To show the validity and usefulness of the present scheme, the guided-mode analysis of a rib waveguide and the beam-propagation analysis of a Y-branching polarization converter based on hybrid supermodes are performed.