Construction of Dyadic Green´s Functions for the EM Field in Planar Layered Media using Wave Matrices for the Electric Hertz Potential

Dyadic Green´s functions for the EM field maintained by electric currents immersed in a planar layered environment are constructed through electric Hertz potentials using wave matrices to determine the spectral amplitudes in their Sommerfeld-integral representations. Such Green´s functions are appropriate for the analysis of contemporary integrated electronic and optical circuits operating at micro/mm/optical wavelengths, where the circuit components are located adjacent to a layered surround environment. This systematic new formulation accommodates general volume currents and removes any uncertainty regarding completeness of the field representation, while naturally accommodating the source-point singularity.