Spatial electromagnetic fields in a nonhomogeneous Omega medium with circular cylindrical symmetry

Abstract

The general theory of the propagation of the electromagnetic field in Omega media with cylindrical symmetry where the density of the Ω-shaped conducting microstructures drops as a function of 1/\rho fed by extended electric cylindrical sources is addressed, and it is established that the wave phenomena can be modeled in terms of the Kummer differential equation. This model leads to closed form analytical expressions in terms of the confluent hypergeometric functions for all the components of the electromagnetic field in far zone.