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186 IEEE TRANSACTIOWS ON ANTENNAS ~LNDPROPAGATION, VOL. M-19, NO. 2, MARCH 1971
The Theoryof Top-Loaded Antennas:
Integral Equationsfor the Currents
Abslract-The generalproblem involving the distribution of THEORETICALMODEL
current and the driving-point impedance of a top-loaded antenna
is formulated.Consideration is given to an idealized structure The general form of the a,ntenna under study is indi-
having one or more cylindricaltop-loading elements.For the cated in Fig. 1. It consists of a central element of length
practically importantcase involving conductors of smallradius,
the axial currents are obtained as the solution to a pair of coupled h with N top-loadingelementsdisplaceduniformly in
integralequations. Approximate solutionsobtainedbynumerical azimuth, each top-loading element being of length 1 and
methods for theinverted L-, T-,andfour-element top-loaded placed at an angle OA with the central axis.The axis of
antennas are compared with measured driving-point impedances. the central element coincides with the z axis of a Carte-
Satisfactoryagreementindicates the possibility of utilizing the
theory in the analysis of practicalconfigurationsinvolving many sian (x,y,z) coordinatesystem, a.nd thestructureis ex-
top-loading elements. cited by a localized source of EMF of strength v” at
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