By B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic
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Additional resources for Analysis and Synthesis of Wire Antennas (Electronic & Electrical Engineering Research Studies)
If the an- tenna ends are hemispherical, the real length of the antenna, including the caps, can be approximately taken as the antenna length in Halle'n 1 s equation, because the area of the hemispherical cap is exactly equal to that of the curved part These corrections are of a right cylinder of radius a and length a. l. which tend to Determination of current distribution be fairly pronounced for antennas of approximately reso- nant lengths. A much better remedy is the field to charges and due to incorporate in the equation currents at the antenna ends.
Z=z by the circuit-theory repre1 The parameters Gel and L were determin- ed in References 26 and 28. Consider now the same monopole antenna driven by a hypothetical belt generator, shmm in Fig. 2. 9 (a). we obtain the Following similar reasoning as above, approximation in Fig. 2. 9(c). 9(c) should be identical. 2. 9. Excitation region of monopole antenna driven by finite-size belt generator; (a) actual case, (b) approximation to actual case, (c) circuit-theory representation of case (b). 26) in Reference 26 that a very simple conclusion is reached in this manner under certain conditions.
Since in the integrand g(r) alone is a function of z, this becomes 22 f I(z') a 2 + 21 - 2 ) (1 k dz E. lZ g(r) dz' ( 1. 2 7) jW\1 This equation is known as the Pocklington equation. ed differentiation 1 When the indicat- is performed, the kernel of the equation turns out 2 3 to have terms proportional to 1/r, l/r and l/r . As already explain- ed, this is very inconvenient from the numerical point of view. cally, this (1. 2 7) is result follows proportional this approach the ian dipoles. The posite charges at to from the the field fact that of Hertz ian a Physi- the integrand in eqn.