A new marching-on-in-order unconditionally stable FDTD method based on orthogonal basis

The unconditionally stable difference time domain (FDTD) method based on the Weighted Laguerre polynomial (WLP) is developed recently for its Marching-on-in-Order scheme. Due to its unconditional stability, Courant-Freidrich-Levy (CFL) limitation can be circumvented resulting in less simulation time compared to the conventional FDTD. This is particularly advantageous for multiscale structures. In this letter we introduce yet another orthogonal basis, which is Hermite-Rodriguez functions, to achieve this goal.