Efficient Computation of Green’s Functions for Multilayer Media in the Context of 5G Applications

This paper presents a novel method for effective computation of Sommerfeld integrals which arise in problems involving antennas or scatterers embedded in planar multilayered media. Sommerfeld integrals that need to be computed in the evaluation of spatial-domain Green’s functions are often highly oscillatory and slowly decaying. For this reason, standard numerical integration methods are not efficient for such integrals, especially at millimeter waves. The main motivation of the proposed method is to compute the Sommerfeld integral tails through extrapolation and analytical integration. The approach is inherently fast and accurate. Numerical examples have been provided to validate the accuracy and efficiency of the proposed method.