Notes on solving Maxwell equations, part 2, Green's function for stratified media

In the previous report (part 1), the problem and its governing equations are described and is discarded in this report. The finite element method in part 1, or any other method for that matter, determines the fields in and close to the scatterer (near-field) that is used to construct the fields in the far-field. The goal of part 2 is to find far-field expressions formulated as total fields or the Radar Cross Section (RCS) of the scattered fields. The far-field is calculated from the scatterer problem in the contrast formulation. The scatterer then acts as a radiating object with a known source J. Using Green's function theory, the far-field solution is just the convolution of that source with the fundamental solution G to the Maxwell equation. Without loss of generality, the expressions are formulated in total fields E and H. Again, the time convention for the time-harmonic term exp(-i¿t) is used, but in contrary to part 1, the quantities are in full dimensions, following closely the notation used by Chew, Balanis and others