By B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic
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Approximations of excitation regions z J Ei/z') sin k(z-z') dz' "~sin kJ zJ (2. 9) . 9) is valid practically along the whole antenna. , Ei (z) 2 = (2. 26), the Hallen equation reads: z2 I I(z') g(r) dz' + + c1 coskz c2 sinkz = 2~~)1 sinkJzl z1 (asymmetrically driven antenna at z =0). 0 If the antenna is symmetrically driven and z =-h and z =h. 11) 2h, we have in this case, because of symmetry. h I I(z') g(r) dz' + c 1 coskz = -h 2 ~~)1 sinkJzJ (symmetrically driven antenna at z =0). 0 (2. 12) have been used extensively for analysis of cylindrical antennas.
29 Delta-function generator a numerical solution virtually eliminates this singularity since, viewed from the antenna axis, numerically it can be hardly distinguished whether the magnetic-current layer has a finite or zero width d. ly, the integral constraint (2. 7) introduces by neglecting the computation of which is time local distribution of still Final- further softening, the electric field. However, the integral in eqn. (2. 7) can be done only numerically, consuming. tional effort more In addition, with almost sophisticated approximations of the same computa- the excitation re- gions can be utilized yielding more stable and reliable results for the antenna admittance.
As it can be seen from Fig. 2. ::_1). This indicates that boundary conditions middle part total normalized electric field 6 points (where IE I <10- ). In the the monopole are the satisfied both to the extended and a high degree. total electric field in for an order of magnitude smaller than in the excitation zone. conclusions were found distribution along a to be valid for In the this case is Similar any good solution for current monopole of any dimensions. , polynomial degree is inadequate, or the matching points are improperly distributed) , the boundary conditions are also poorly satisfied.