The critical relevance of ensuring the excitation's causality in electromagnetic (EM) simulations is exploited by the computation of strictly causal time domain interaction integrals as they occur in the partial element equivalent circuit (PEEC) method. Under the hypothesis of thin, almost zero thickness objects, the presented formulas represent analytical impulse responses and, as such, are used within convolutions in the framework of the time domain PEEC solver. The proposed approach is compared with other standard approaches and clearly behaves better than frequency-domain methods in accurately catching the propagation delay and, thus, preserving the causality. Further, improved stability is observed compared to marching-on-in-time methods..@en

Time-domain (TD) methods for the solution of Maxwell's equations are particularly appealing for their ability to provide the overall characteristics of an electrical system in a single simulation run. In many situations, such TD methods require computing the system's impulse response and using it in a convolution-based solver. In this work, we propose the evaluation of the scattering-parameters-type impulse response of partial element equivalent circuit (PEEC) models by firstly computing the scattering parameters pertaining to a unit-step excitation via the Numerical Inversion of Laplace Transform (NILT) technique, followed by recovering the corresponding impulse response. The accuracy and effectiveness of the advocated approach is validated by means of numerical experiments comparing its performance with that of more standard methods.@en