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Astronomy Principles and Practice Fourth Edition.pdf

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362 Radio telescopes<br />

(a)<br />

Paraboloid section<br />

(b)<br />

Figure 21.10. (a) A horn antenna with feed output. (b) A horn antenna with a reflection collector.<br />

of antennas covering the same area. However, the calculation of power gain usually requires an<br />

adjustment to allow for the fact that the feed horn (see later) is designed to prevent ‘spill-over’ to<br />

the ground with the result that the dish is effectively under illuminated. A typical loss is of the order of<br />

a factor of two so that A e ≈ A/2, where A is the full geometric area of the dish. If the absolute power<br />

gain is expressed in terms of the diameter of the dish, it is given by<br />

G ≈ π 2 D 2<br />

2λ 2 . (21.7)<br />

Thus, if a 10 m dish is used at a wavelength of 1 m, the absolute power gain is close to 10 3 .<br />

As with the case of optical telescopes, some radio dishes are constructed to support a secondary<br />

reflector prior to the primary focus, so operating as a Cassegrain system. With this configuration, the<br />

position of the feed is more accessible being just behind the dish <strong>and</strong> the system’s length is reduced.<br />

21.5 Horn collectors<br />

For frequencies ²GHz, horns are commonly used to act as collectors. Apertures are normally º15λ.<br />

A basic design is depicted in figure 21.10(a). An alternative design might have a reflective paraboloid<br />

section attached to the horn lip to increase the effective area (see figure 21.10(b)). One of the features<br />

of horns is that their beams can be calculated accurately which, in turn, ensures good calibration of<br />

signal strengths <strong>and</strong> absolute measurements of bright sources. In some telescope designs, a collection<br />

of horns might be used <strong>and</strong> their signals combined.<br />

A horn is sometimes placed at the focus of a radio dish to accept the collected radiation. Obviously<br />

it is important that the horn only ‘sees’ the dish collection aperture <strong>and</strong> not beyond its perimeter<br />

otherwise it would respond to illumination from the ground. The design is, therefore, engineered<br />

so that its beam tapers rapidly at its edges.<br />

21.6 Interferometry<br />

21.6.1 A basic interferometer<br />

By using interferometric techniques, analogous to those used in optics, it is possible to obtain higher<br />

angular resolutions than those which result from telescopes in the form of two-dimensional arrays <strong>and</strong><br />

reflecting dishes. The simplest form of radio interferometer consists of two antennas which point in the<br />

same direction but are separated by a considerable distance in relation to the radio wavelength which<br />

is being used. This system is equivalent to Young’s double-slit interference experiment in optics. The

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