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320 Small transmitting loop antennas
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16-1 Small transmitting loop antennas: (A) square, (B) octagon
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small loop antenna was only 503 dBi less than the dipole The loop probably would show similar gains up to the point of self-resonance Calculations of the current and voltage within the loop are substantial The loop impedance at 10 MHz is 0088 1 j161 This means that a 150-W transmitter, certainly modest for these frequencies, would produce 41 A circulating inside the loop and a voltage across the tuning capacitor of 6600 V As Belrose (1993) warns: Don t touch your loop when transmitting! The tuning capacitor in Belrose s loop should be rated for at least 10,000 V to guard against anyone using more than 150 W Keep in mind that a power of 500 W will produce potentials across the capacitor of 30,000 V, so you will need a capacitor with at least 1/2-in spacing A 1-in spacing is good for about 75,000 V It is probably best to use a vacuum-variable capacitor for the tuning capacitor of a small loop antenna if you can afford one Regardless, the loop power should be kept under control! The Q of the antenna at any given resonant frequency is very, very high For the 1-m loop antenna described earlier, the Q at 10 MHz was 1824, which resulted in a bandwidth of 55 kHz (although in practice it is twice this amount before VSWR tol-
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Design equations 321 erances on the transmitter are exceeded) Regardless, the bandwidth of the resonated loop is tiny, so some means must be provided for retuning the loop as you shift frequency If you do not shift frequency, then the loop can be tuned and forgotten, but for the rest of the radio fraternity, perhaps a remotely tuned capacitor is in order Getting a large capacity variable in the voltages that are required for operation with a good power level is a bit tricky
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The design equations developed by Hart (1986) are as follows: Radiation resistance (RR): RR Loss resistance (RL): RL Efficiency ( ): RR RR Inductance (L): L 19 108S (7353 log10 96S D 6386) [164] RL [163] 996 10 4S D F [162] 338 10
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Inductive reactance (XL): XL Tuning capacitance (C): C Quality factor (Q): Q Bandwidth ( F): F Distributed capacitance (CD): CD Capacitor voltage (VC): VC PXLQ [1610] 082S [169] F Q [168] F F XL 2 (RR RL) [167] 1 2 FXL 106 [166] 2 FL 106 [165]
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322 Small transmitting loop antennas where A is the area of the loop, in square feet (ft2) S is the length of the loop conductor, in feet (ft) D is the diameter of the conductor, in inches (in) P is the applied transmitter output power, in watts (W)
Some sample loop antennas
The Patterson (1967) loop antenna is shown in Fig 16-2 It is made from 15-in copper tubing Segments are cut and are joined together by eight 45 elbow joints, giving the octagon shape Each segment is 05 ft long The tuning is accomplished by three capacitors, two of which are a split-stator unit (two capacitors on the same shaft) The tuning control is the split-stator capacitor, whereas the loading control is a single capacitor
16-2 A Patterson loop antenna
Some sample loop antennas 323 Another loop antenna is shown in Fig 16-3 This antenna has a Faraday feed system rather than a capacitor-coupled feed system, as did the Patterson loop The tuning is accomplished by CA , the series tuning capacitor The requirement must be met that D1/D2 5 Still another loop is shown in Fig 16-4 This loop relies on magnetic coupling to perform the coupling of the transmitter In this loop antenna, the coupling is via a small coupling loop and 50- coaxial cable to the transmitter Capacitor C1 is used to resonate the loop, whereas capacitors C2 and C3 serve the purposes of loading and resonating the coupling loop According to Mozzochi (1993), the voltages and currents with respect to the capacitors are VC1 VC2 VC3 IC1 IC2 1800 18 17 22 021 P P P P P [1611] [1612] [1613] [1614] [1615]
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