Unconditionally Stable Finite-Difference Time-Domain Method Based on the Locally-One-Dimensional Technique

A new unconditionally stable finite difference time domain (FDTD) technique is discussed. The method employs the locally one dimensional (LOD) operator splitting technique. The resulting LOD-FDTD method is computationally more efficient than the conventional FDTD, and presents a computational cost similar to the ADI-FDTD. The proposed LOD-FDTD is expanded in terms of the CrankNicolson scheme that is unconditionally stable and second order accurate. We illustrate the application of this new technique to the modeling of integrated optical waveguides.