Impulsive Radiation From a Vertical Electric Dipole Above an Imperfectly Conducting Surface

This paper presents an analytical benchmark for numerical methods employed to electromagnetic (EM) wave simulation with applications in antenna design and radio communication. Space-time expressions for the impulsive wave fields generated by a vertical electric dipole situated above a planar conducting surface are derived. The EM properties of the imperfectly conductive material are represented by a surface impedance and translated to the wave motion via employing the local plane wave relation as the boundary condition. At the core of tackling the impedance boundary value problem is the derivation of the space-time reflected-wave Green´s function with the aid of the extended Cagniard-de Hoop method. The solutions for the reflected wave fields open the door to analysis of their properties in the far-, intermediate-, and near-field regions, in the dependence of the material´s EM parameters. Numerical results illustrate time snaps of the reflected-wave Green´s tensors and time traces of the measurable wave fields.