Green's Function Using Schelkunoff Integrals for Horizontal Electric Dipoles over an Imperfect Ground Plane

Walid M G Dyab, Tapan Kumar Sarkar, Mohammad N. Abdallah, Magdalena Salazar-Palma

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

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). A detailed comparison between the presented expressions and the conventional ones based on Sommerfeld integrals is illustrated both numerically and analytically.

Original languageEnglish (US)
Article number7406726
Pages (from-to)1342-1355
Number of pages14
JournalIEEE Transactions on Antennas and Propagation
Volume64
Issue number4
DOIs
StatePublished - Apr 15 2016

Keywords

  • Green's function
  • Radiation over imperfect ground plane
  • Schelkunoff Integrals
  • Sommerfeld Integral tails
  • Sommerfeld Integrals

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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