By B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic
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Additional info for Analysis and Synthesis of Wire Antennas (Electronic & Electrical Engineering Research Studies)
25) the electric field current derivative at due to the discontinuity in 2 -k /(jwlJ). Since z=O, multiplied by the discontinuity is determined by eqn. (2. l). eqn. 20). lrz jwlJ ) ()1 g r 2 2 z 1 =z 1 (2. 2. Note that the Approximations of excitation regions resulting impressed field Eirz in eqn. (2. 20). , at the outer magnetic-cur- rent frill edge, while the field due to the frill alone, given by eqn. , for (p=a, z=O). Once the antenna current distribution antenna admittance, defined in terms of is determined, the monopole- the coaxial-line TEM mode, is approximately given by* I(O) y (2.
1. 28) . integral should be split in to two integrals, one of Namely, them being performed on avoid the the interval (z ,0), and the other on (O,z ), in order to 1 2 discontinuity of di/dz at z=O, where the magnetic-current frill is located. 28) w·e obtain di(zl) - - g(r) dzl = _ dl(z dz 1 dz 1 ()z 1 2 1 (r)\ ) g 2 + di(z dz 1 1 z =z 1 ) I O+ (r) z=O- 1 g + J z=O 0- +(J (2. 20). 25) the electric field current derivative at due to the discontinuity in 2 -k /(jwlJ). Since z=O, multiplied by the discontinuity is determined by eqn.
21) WE]l that in the case considered everywhere A=A -+ r . 18) becomes z (1. 22) Combining eqns. 17) z2 I E. lZ I(z') g(r) dz' ( 1. 23) jW]l z1 This integra-differential equation, for obvious reasons, might be termed the vector-potential equation. It is not analysis of cylindrical antennas, because tion of the second derivative equation with respect to z. l. 2. Hallen's equation. ing with Determination of current distribution Further branching is now possible start- the vector-potential equation.
Analysis and Synthesis of Wire Antennas (Electronic & Electrical Engineering Research Studies) by B.D. Popovic, etc., M.B. Dragovic, A.R. Djordjevic