By Y.T. Lo, S.W Lee
Lo Y., Lee S. Antenna instruction manual (Van Nostrand Reinhold, 1993, 2)(ISBN 0442015933)
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B) Equivalent circuit of (a). ReceIving Antennas 6-11 Fig. 3. Radiation patterns of small antennas. where (J = 90° and the radiated power pattern \II is proportional to sin 2 (J. 64) of a half-wave dipole (, p. 54). Impedance-The input impedance of a short dipole as shown in Fig. 5567 x 1O-3/yTQ. Note that for a short monopole of length i above a perfect ground the capacitance is twice and the inductance and the radiation resistance are half of those given by the above equations. To illustrate the input impedance calculation for a short dipole, consider a short dipole O.
J (98) It is evident from (98) that at very close ranges r, this axial gain has maxima at r = 4(2n n = 0,1,2, ... + l)l' (99) and is zero at n = 1,2, ... (100) These correspond to ranges at which the aperture contains even and odd numbers of Fresnel zones, respectively. The situation is illustrated in Fig. 15a, where the axial near-field power density of a uniform circular aperture of diameter a, (101) is plotted. Fig. 15b shows corresponding results for a uniform square aperture of side a. The axial power density (102) is not completely canceled at any range because the Fresnel zones are annular and incomplete in a square aperture.
14. The factors RE and RH also appear in expressions for the axial gain of pyramidal and sectoral horns and are tabulated . For the circular aperture of Fig. 8 with an x-polarized uniform distribution the axial field at a distance r is E(r,O) = 92jEoe-i (kr+t)sint with t = na2/(8lr). j (98) It is evident from (98) that at very close ranges r, this axial gain has maxima at r = 4(2n n = 0,1,2, ... + l)l' (99) and is zero at n = 1,2, ... (100) These correspond to ranges at which the aperture contains even and odd numbers of Fresnel zones, respectively.