A Finite Difference Frequency Domain Based Full Vectorial Modesolver with Non Uniform Mesh and Arbitrary Anisotropy

Abstract

This work presents a full vectorial Yee's mesh based modes olver with arbitrary anisotropy and non unifrom mesh. Previous works on Yee's mesh based modesolvers have not incorporated non uniform mesh into Yee's mesh based modesolvers along with arbitrary anisotropy, which is done in this work. A crucial advantage of non uniform mesh is the ability to simulate larger regions with less memory requirement as compared to uniform meshing, which also makes the modesolver faster. In this work a 300 nm × 300 nm square waveguide with fully anisotropic core which is surrounded by an isotropic medium is used as a test structure for determining speed, accuracy and memory requirement of the solver. For benchmarking this solver, effective refractive index values have been shown and compared with previously developed uniformly meshed modesolver. Also the simulation time and memory requirements are brought down to a good extent by inclusion of mesh refinement with non uniform mesh.