English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper we consider the problem of radiation from a vertical shortHertzian dipole above flat lossy ground, which represents the well known in theliterature Sommerfeld radiation problem. The problem is formulated in a novelspectral domain approach, and by inverse three dimensional Fouriertransformation the expressions for the received electric and magnetic field inthe physical space are derived as one dimensional integrals over the radialcomponent of wavevector, in cylindrical coordinates. Subsequent use of theStationary Phase Method in the high frequency regime yields closed formanalytical solutions for the received EM field vectors, which coincide with thecorresponding reflected EM field originating from the image point. In this way,we conclude that the so called in the literature space wave, i.e. line of sightplus reflected EM field, represents the total solution of the Sommerfeldproblem in the high frequency regime, in which case the surface wave can beignored. Finally, numerical results in the high frequency regime are presentedin this paper, in comparison with corresponding numerical results based onNorton solution of the problem, i.e. space and surface waves.

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