Green's Function Using Schelkunoff Integrals for Horizontal Electric Dipoles Over an Imperfect Ground Plane Articles uri icon

publication date

  • April 2016

start page

  • 1342

end page

  • 1355


  • 4


  • 64

International Standard Serial Number (ISSN)

  • 0018-926X

Electronic International Standard Serial Number (EISSN)

  • 1558-2221


  • Recently, Schelkunoff integrals have been used to formulate a Green's function for analysis of radiation from a vertical electric dipole over an imperfect ground plane. Schelkunoff integrals were proved to be more suitable for numerical computation for large radial distances than the Sommerfeld integrals which are used conventionally to deal with antennas over an imperfect ground. This is because Schelkunoff integrals have no convergence problem on the tail of the contour of integration, especially when the fields are calculated near the boundary separating the media and for large source-receiver separations. In this paper, the Schelkunoff integrals are utilized to derive a Green's function for the case of a horizontal electric dipole radiating over an imperfect ground plane (a two-media problem where the lower medium is lossy).


  • green's function; radiation over imperfect ground plane; schelkunoff integrals; sommerfeld integrals; sommerfeld integral tails; radiation; propagation; earth