Adaptive meshing for optical resonators

In this paper, a method for adapting a mesh to the fields and physical conditions of suitable problems are investigated. A new meshing scheme is introduced that will allow the sampling points of an Unstructured Transmission Line Modelling simulation to be adapted while the simulation is in progress. Two mesh adaptation methods are investigated, namely the Centroidal Voronoi Tessellation and the Optimal Delaunay Triangulation techniques. Based on these results an improved mesh adaptation using absolute field pattern, and ensuring a constant mesh topology that is critical for the UTLM simulation, has been devised. The investigations and results are presented for two-dimensional (2D) cylindrical metal resonators.