The Radiation Problem from a Vertical Short Dipole Antenna above Flat and Lossy Ground: Novel Formulation in the Spectral Domain with Closed – Form Analytical Solution in the High Frequency Regime

Radiation of a Vertical Dipole over Flat and Lossy Ground using the Spectral Domain Approach: Comparison of Stationary Phase Method Analytical Solution with Numerical Integration Results

“…Finally, in the near future our research group will focus on the design of a software product for accurate prediction of pass loss in different types of environments. The above software tool will be based on the exact electromagnetic (EM) method proposed in this paper, as well as in [9]- [11], and therefore it is expected that it will exhibit important advantages over previously developed corresponding software tools. Some of these advantages might include accuracy, speed, efficiency and low complexity, since the various calculations will be based on closed form analytical expressions, instead of resource starving and time consuming numerical methods.…”

“…Particularly, in [7], [8] the authors demonstrated the fundamental integral representations, for the received EM field for the aforementioned problem. Then in [9]- [11], the authors suggested the use of the Stationary Phase Method (SPM method [12]), with which novel closed-form analytical expressions are derived for the calculation of the EM field in the high frequency regime. At those papers detailed comparisons between the proposed SPM method and Norton's solutions [6] showed very good agreement results.…”

“…Hence, in this paper, appropriate simulations are run for various carrier frequencies. These simulations compare the estimated received EM field at an observation point above flat and lossy ground (particularly only the scattered field is calculated since the Line of Sight field is easily and analytically derivable), under two approaches: (a) SPM method [9]- [11] and (b) Numerical integration of the corresponding integral representations. The results obtained are interesting in that they favour the use of the SPM method in a wide frequency range.…”

A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic Field Expressions and the Emergence of the Surface Waves

“…Namely, in [14] the complete solution of the problem was given by means of an integral expression. In [15,16] the Stationary Phase Method (SPM) [17,18] was proposed and as a result closed-form analytic expressions were derived, for use in the high frequency regime and far way from the air-ground interface. However, that analysis did not consider the relative position of the stationary point to the integrand's singularities.…”

Analysis of an Underground Vertical Electrically Small Wire Antenna

“…In 2012 Poljak et al [14] derived a time domain variant of the generalized telegrapher's equations for the field coupling to finite length wires above a lossy ground and gave some computational examples; this work was fully based on the problem of a thin wire antenna above a lossy medium. In 2014 Christakis et al [15] solved the problem of radiation from a vertical short dipole antenna above lossy ground and used the stationary phase method to obtain the field formulation with closed form analytical solution in the high frequency regime. In 2014 Pan and Li [16] introduced the solution for extremely low frequency (ELF) or super low frequency (SLF) wave propagating in different regions.…”