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On the Calculation of Antenna Patterns for an Inhomogeneous Spherical Earth
Author(s) -
Spies Kenneth P.,
Wait James R.
Publication year - 1967
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 - 10.1002/rds19672111361
Subject(s) - plane (geometry) , antenna (radio) , airy function , complex plane , function (biology) , great circle , notation , mathematical analysis , physics , mathematics , spherical trigonometry , path (computing) , geometry , computer science , telecommunications , arithmetic , evolutionary biology , biology , programming language
Analytical and numerical procedures are described for the evaluation of the following functions:The contour Γ, for the integrals in the complex t plane, may be taken from ∞ e − i 2π/3 along a straight line to 0 and then out along the real axis to + ∞. In addition, and where Ai , Bi , Ai ′, and Bi ′ are Airy functions in the standard notation. The real quantities X and x 1 and the complex factors q and q 1 are the parameters of the problem. The function V ′, which characterizes the pattern of a loop antenna on the earth's surface, is illustrated graphically for low radio frequencies for a mixed land/sea propagation path.
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