A closed form analytical solution to the radiation problem from a short dipole antenna above flat ground using spectral domain approach

2013/03/05 by Seil Sautbekov, Sautbekov, Seil, Panayiotis Frangos +5
Engineering · #Antenna Design and Optimization #Classical Physics (physics.class-ph) #FOS: Physical sciences #Millimeter-Wave Propagation and Modeling #Radio Wave Propagation Studies

paper · pdf · doi:10.48550/arxiv.1303.1171

openalex publication_date 2013/03/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the problem of radiation from a vertical short dipole above flat ground with losses, which represents the well known in the literature Sommerfeld radiation problem. We end up with a closed form analytical solution to the above problem for the received electric and magnetic field vectors above the ground in the far field area. The method of solution is formulated in the spectral domain, and by inverse three dimensional Fourier transformation and subsequent application of the Stationary Phase Method the final solutions in the physical space are derived. To our knowledge, the above closed form solutions are novel in the literature for the Sommerfeld radiation problem. Finally, the physical interpretation for the received fields formulae derived this paper are provided.

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