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Nonspectral representation for the field of a horizontal wire above ground
Author(s) -
Carpentier M. P.,
dos Santos A. F.
Publication year - 1984
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/rs019i003p00812
Subject(s) - representation (politics) , field (mathematics) , mathematical analysis , analytic continuation , generator (circuit theory) , modal , mathematics , function (biology) , plane wave , electromagnetic field , physics , optics , power (physics) , quantum mechanics , chemistry , evolutionary biology , politics , political science , polymer chemistry , pure mathematics , law , biology
A representation in error functions for the current and field of a horizontal wire above ground excited by a delta function voltage generator is studied. This representation involves contributions from both proper and improper solutions of the modal equation and makes it possible to assess the relative importance of proper and improper solutions in the radiation mechanism. The new representation requires the analytic continuation of the field tranforms into the whole complex plane of the transverse wave number which is studied for the first time as far as the improper half plane is concerned. An asymptotic expression for the radiation field is obtained, and it is shown that the principal improper mode provides a good approximation to the far field.