A stability analysis for a time-domain method of moments analysis of a one-dimensional double-negative transmission line

The stability of time-domain simulations is examined for a generalized lossy double-negative transmission line. This is accomplished using a "modified" version of the Courant-Friedrichs-Lewy stability criterion and an analytic expression derived by combining the Z-transform with von Neumann methods. The tune-domain simulation is implemented using a method-of-moments formulation with the generalized transmission line equations. The credibility of simuaated time-domain results is verified through comparison with modal behavior determined using a frequency domain treatment for a periodic structure.