Mixed-Potential Integral Equation (MPIE) Formulation for Arbitrarily Shaped Conducting Objects in Plane-Stratified Uniaxial Media—A New Look

A new, direct and succinct derivation is presented of the mixed-potential integral equation (MPIE) for arbitrarily shaped conducting objects in plane-stratified, multilayered, uniaxial media. The vector and scalar potential MPIE kernels are expressed in terms of the voltage and current Green functions of the spectral-domain transmission-line network analog of the medium along the axis perpendicular to the stratification.