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Transient electromagnetic field of a vertical electric dipole above an atmospheric surface duct
Author(s) -
Abo Seliem Adel A. S.,
Bishay Samira T.
Publication year - 1996
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/96rs00283
Subject(s) - duct (anatomy) , electromagnetic field , dipole , physics , electric field , mechanics , perfect conductor , mathematical analysis , boundary value problem , optics , geometry , computational physics , mathematics , classical mechanics , scattering , medicine , pathology , quantum mechanics
The pulsed electromagnetic radiation from a vertical electric dipole above an atmospheric surface duct is investigated theoretically. The duct model used is that of Kahan and Eckart [1950] and consists of a discontinuous drop of the otherwise constant relative permittivity at the upper duct boundary. The Earth is assumed to be an ideal conductor and planar. The modified Cagniard method is used to derive closed form expressions for the Hertzian vector anywhere above the duct. From the physical point of view, Cagniard's idea is applicable as it is based on evaluating the field in a series of image sources of the primary source. The step ‐ function solution of the problem can then be determined as an infinite sum of definite integrals over finite intervals. Two cases would be distinguished on the basis of the distance between the receiving and transmitting ends and whether it is greater or lesser than the total reflection distance.