Download Antenna handbook by Y.T. Lo, S.W Lee PDF

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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Example text

Magnetic dipole. (a) Incremental magnetic dipole. (b) Equivalent circuit of (a). /2) and uniform so that the loop current is uniform. The radiation pattern is shown in Fig. 3. 76 dB). Impedance-The input impedance of a small loop of one turn shown in Fig. 5a is composed of the ohmic resistance Rm the series inductance L 1oop , and the radiation resistance R1oop , which may be expressed as = R o loop length x Rs perimeter of wire cross section L 100p = l1 0 b In(b/a) = ~R a s (41) (42) (43) where = the loop radius a = the wire radius S = the loop area R,I' = the surface resistance = V(1)11/20, with 0 the conductivity of the metal that b the loop is made of A satisfactory formula for the series capacitance of a coil is not available.

2 = the directivity of antenna no. 2 in the direction «(J, t/J ) p = Ihl·h212/lhI12Ih212 = polarization-matching factor ofthe two antennas D2 «(}, t/J) hI, h2 = the vector effective heights of the two antennas Equation 27 is the generalized version of Friis' transmission formula [4] originally formulated for two linear antennas without considering the radiation efficiency, the impedance-matching factor, or the polarization-matching factor. S. Mutual Impedance between Distant Antennas The mutual impedance between two antennas, one of which lies in the far-zone field of the other, can be calculated by using the vector effective height of these two antennas.

The firstorder near-field effect is an additional quadratic phase difference in the radiation from the aperture. Thus for an x-polarized separable field in the aperture of Fig. 3, (68) where (69) (70) Radiation from Apertures 5-25 with {J = nlr). and kJ and k2 defined by (26). As r ---+ 00, {J ---+ 0 and the Fresnel transforms (69) and (70) become the Fourier transforms (28) and (29). For a uniform distribution EJ(x) = 1, so where the Fresnel integra/s* C(u) and S(u) are defined by C(u) - jS(u) = fU e-i:Jrv~/2dv o (72) and have arguments U2} {UJ = For the cosinusoidal distribution E 2 (y) D 2(k 2) = a kJ = cos (nylb), so ± V2r).

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