Modeling of the Crosstalk Phenomenon by Bilateral Coupling of the Non-Stationary Maxwell Equations and the Circuit Equations

In this paper, we introduce a general modeling approach for the crosstalk phenomenon within electro-magnetic systems. We model the phenomenon by bilateral coupling of two sets of differential equations, namely non-stationary Maxwell equations and circuit equations. Considering these two sets of equations as input-output systems, the bilateral coupling approach connects the output of one system to the input of the other system and conversely, via coupling and re-coupling relations. The coupling of these two sets leads to a set of partial differential-algebraic equations modeling the crosstalk phenomenon. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)