Parallel-Computing Wavelet-Based FDTD Method for Modeling Nanoscale Optical Resonator

An efficient wavelet-based finite-difference time-domain （FDTD） method is implemented for analyzing nanoscale optical devices, especially optical resonator. Because of its highly linear numerical dispersion properties the high-spatial-order FDTD achieves significant reduction in the number of cells, i.e. used memory, while analy- zing a high-index dielectric ring resonator working as an add/drop multiplexer. The main novelty is that the wave- let-based FDTD model is extended in a parallel computation environment to solve physical problems with large di- mensions. To demonstrate the efficiency of the parallelized FDTD model, a mirrored cavity is analyzed. The analysis shows that the proposed model reduces computation time and memory cost, and the parallel computation result matches the theoretical model.