A Separated-Current Volume Integral Equation for Conducting Dielectrics

The time-harmonic volume integral equation (VIE) is a convenient method for formulating electromagnetic field interactions with imperfect conductors and dielectrics. The source term in the VIE is an equivalent current equal to the sum of the displacement and conduction currents, which exhibit different frequency dependencies. For some materials, this can lead to instabilities and/or inaccuracies in circuit models constructed using the VIE. This presentation reports on a separated-current VIE (VIE-S) formulation that overcomes these issues by separately representing the displacement and conduction currents. Results are shown for a lumped-element circuit construction example.