Lumped-Element Circuit Construction for Lossy Distributed Circuits

It has been observed that it is possible to construct a lumped-element circuit model for distributed lossless circuits using an admittance power matching (APM) method with an augmented electric field integral equation (AEFIE). This presentation describes a similar procedure for lossy circuits modeled using an augmented electric field volume integral equation (AEVIE) formulation. Two significant modifications of the APM procedure previously applied to the AEFIE are required to reliably construct physically meaningful, lumped-element circuits from an AEVIE formulation of a lossy distributed circuit. These modifications are summarized, and numerical results illustrate the performance of the resulting procedure.