An Explicit and Unconditionally Stable FDTD Method for the Analysis of General 3-D Lossy Problems

Abstract

The root cause of the instability of an explicit FDTD method is quantitatively identified for the analysis of general lossy problems where both dielectrics and conductors can be lossy and inhomogeneous. Based on the root cause analysis, an efficient algorithm is developed to eradicate the root cause of instability, and subsequently achieve unconditional stability in an explicit FDTD-based simulation of general lossy problems. Numerical experiments have demonstrated the unconditional stability, accuracy, and efficiency of the proposed method.Index Terms-Finite difference time domain (FDTD) method, unconditionally stable, explicit methods, time domain methods, lossy media, inhomogeneous media.0018-926X (c)

An Explicit and Unconditionally Stable FDTD Method for Electromagnetic Analysis

“…Other options to remove the root cause of instability in an explicit time-domain method will also be explored. Recently, this work has also been extended to analyze general lossy electromagnetic problems in [24]. 4) On the New Term of "Explicit and Unconditionally Stable Method": The existing implicit unconditionally stable methods use a time integration method to remove the dependence of the time step on space step; while the proposed method is very different.…”