Mesh-free Spectral Method Analysis of Optical Waveguides and Wave Propagation

A new, fast, and efficient full vectorial multi-domain spectral method (MDSM) to simulate optical devices is presented. The presented method is mesh-free and is used for modal analysis of optical waveguides and to simulate optical wave propagation and scattering in two dimensional structures. As common to spectral methods, the presented method is very fast and accurate. Simulations of some complex structures were performed in less than a second using personal computer.