Fast FDTD simulation of multiscale 3D models using Laguerre-MNA

Transient simulation using Laguerre polynomials is an unconditionally stable method, where the time-step is not limited by the fine resolution of the model. In this paper, a circuit model of the 3D FDTD grid for transient simulation using Laguerre polynomials has been derived. The circuit model enables FDTD simulation with Laguerre polynomials using the Spice MNA engine. In addition, circuit models help reduce the number of unknowns to be solved without the use of long cumbersome equations. Prior work suffer from the drawback of being able to simulate only for a certain time-duration. A method by which this limitation can be removed and accurate simulation can be earned out for all time has been outlined in this paper.