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Radar System Engineering

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274 ANTENNAS, SCANNERS, AND ST ABILIZA TIO.V [SEC.9.3<br />

tally, the beamwidth can be measured by exploring the intensity of the<br />

radiation to the right and left of the center of the beam or, alternatively,<br />

above and below the center of the beam. It is an important fact that<br />

the beamwidth as measured vertically depends, according to Eq. (l), upon<br />

the vertical dimension of the cut paraboloid, and the horizontal beamwidth<br />

depends upon the horizontal dimension. Thus, in order to realize<br />

high resolution in azimuth, the antenna must be wide but not necessarily<br />

tall, whereas a height-finding radar, affording accurate measurement of<br />

the angular elevation of an airplane, must have a tall antenna which need<br />

not be wide. These two types are exemplified by the scanners shown<br />

in Figs. 9.15 and 9.14 respectively.<br />

FIC. 95.-Two-dipole<br />

feed radiating towarrl the left.<br />

We have not mentioned the “mattress” type of antenna, which is<br />

perhaps the most familiar to the public because it is commonly seen on<br />

naval ships. These antennas are rectangular arrays of radiating elements<br />

so phased as to produce a broadside beam. They are widely used in<br />

radars of wavelength over 1 m. With the trend toward shorter wavelength,<br />

the mattress antennas are giving way to the types discussed above.<br />

9.3. Fan Beams.—One of the functions for which airborne radars are<br />

designed is aiding air navigation, and an extremely important type of<br />

airborne navigational radar presents a map of the terrain around the<br />

aircraft. In order to map the ground the transmitted energy must be<br />

directed toward the ground, and rather than having the energy beamed<br />

like a searchlight, a “fan beam” must be employed as shown in Fig. 9.6<br />

for complete coverage. A uniformly intense map is desired, which will<br />

display ground objects that lie at depression angles between, for example,<br />

5° and 70° below the horizontal. The energy in the fan beam must therefore<br />

be properly distributed to give adequate illumination of the most<br />

distant objects while not overilluminating those which are at greater<br />

depression angles. It can be shown, subject to certain simplifying<br />

assumptions, that the energy should be distributed as the square of the<br />

cosecant of the depression angle (see Sec. 2.5). Figure 9.7 shows how<br />

well such a pattern is realized in practice, with an antenna 12 in. in height<br />

(shown in Fig. 9.8) used at the 3-cm band. In this polar diagram the<br />

square root of the power is plotted rather than the power itself, since the<br />

desired distribution is then given by a straight line as shown. Figure 99<br />

is a photograph of the PPI display, showing the performance of this<br />

antenna.

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