Electromagnetic Fields of Energized Conductors in Multilayer Medium with Recursive Methodology

This paper discusses the computation of electromagnetic fields due to energized thin-wire conductors in a horizontal multilayer medium. The computation uses a full wave solution for the Hertz vector potential caused by an electric dipole located in the medium. The dipole coefficients are obtained analytically using a recursive algorithm. All the layers can have arbitrary resistivity, permeability, permittivity, and thickness. The field generated by a linear conductor is obtained by integrating the contribution of dipoles along the conductor. The field of an arbitrary conductor network is obtained by superposition of the contribution of all the network conductors. The energized conductors and the calculation points can be in any layer of the medium. Numerical results obtained with this method are presented and compared to those obtained with a completely numerical method: it is shown that the recursive method yields identical results to the numerical method, and that it is much faster.