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Astronomy Principles and Practice Fourth Edition.pdf

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Antenna design 359<br />

Figure 21.7. A four-element collinear array <strong>and</strong> its polar diagram. (The axes of the antennas are collinear with<br />

the y-axis.)<br />

contributions arrive in phase at the receiver. The polar diagram drawn in figure 21.8(b) is that which<br />

is found in the xz-plane. In the yz-plane, the polar diagram is the same as that of a single half-wave<br />

dipole.<br />

By a combination of the collinear <strong>and</strong> broadside arrays, the directivity of the two-dimensional<br />

array is reduced in both the x <strong>and</strong> y directions, leaving the main narrow lobes pointing in either<br />

direction along the z-axis. One of these directions can be eliminated by a wire mesh reflector put<br />

at the correct distance in a plane parallel to the two-dimensional array. An array of 64 half-wave<br />

antennas gives a beamwidth of about 14 ◦ . The absolute power gain is equal to the number of dipoles<br />

in the array multiplied by 2 × 1·64 (the factor of two is obtained by using the back reflector) <strong>and</strong>, in<br />

this case, the array has an absolute power gain equal to 210.<br />

By mounting the whole system on an adjustable rig, the highly-directional antenna can be pointed<br />

to any source on the celestial sphere. Such a system is one of the forms of a radio telescope.<br />

Similar highly-directional antennas can be devised by using an array of parasitic antennas. Again,<br />

the absolute power gain is obtained by multiplying the absolute power gain of a single antenna by the<br />

number of antennas in the array.<br />

It may be noted that the contributions from the elements in an array may be connected in different<br />

ways <strong>and</strong> are referred to as phased arrays. In the simplest design of collinear array, each signal<br />

flows into a single line whose centre feeds the receiver (see figure 21.9(a)). In the Christiansen<br />

interferometer,orChristmas Tree array, the signals are added together in pairs in a progressive way<br />

so that the total length of feed between each antenna <strong>and</strong> the receiver is the same. This is illustrated in<br />

figure 21.9(b). The collinear system has smaller power losses in the feed than the Christmas Tree array

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