Abstract
Fast Green's function evaluation in layered media is a holy-grail of wave theory in general and electromagnetics in particular. There is a huge amount of knowledge in this context with vast literature. Here we propose a technique that is based on a rational function approximation of the spectra using the Fourier-Pade approximant. We show that this approach can be used in challenging scenarios such as very thick and lossy layers, with negative $\epsilon$, and even to approximate a dominant branch-cut contribution far-from the source.
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