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Radar System Engineering

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SF,C. 3.16] CITIES 101<br />

reflection will result whenever a flat surface happens to be oriented normal<br />

to the line of sight; yet the mere presence of flat surfaces is not enough to<br />

guarantee a strong reflection. If these surfaces were oriented in random<br />

directions, the probabilityy of finding one at just the right orientation<br />

would be so low that the average signal from such a group of flat surfaces<br />

would be no stronger than the average signal from a collection of isotropic<br />

scatterers filling about the same volume. Therefore the flat surfaces<br />

must be so oriented that the reflection is concentrated in the direction<br />

of the radar receiver. In a group of buildings, a large proportion of the<br />

flat surfaces will be vertical walls, while many others are smooth pavements<br />

or flat roofs. There are many opportunities for combinations of<br />

three flat surfaces at right angles to form corner reflectors (Sec. 3.5),<br />

which are highly retredirect ive targets. The full potentialities of these<br />

tremendous corner reflectors are never realized in practice because of<br />

the strict tolerances imposed by the short wavelengths of microwave<br />

radar. Insufficient flatness in the walls makes a huge, imperfect corner<br />

reflector behave like one which is smaller but perfect. Inadequate<br />

perpendicularity results in several return beams in the vicinity of the<br />

aircraft instead of a single return beam pointed directly at the aircraft.<br />

Nevertheless, the average effect of many triple corners is to provide<br />

retrodirectivity in the radar target.<br />

Vertical and horizontal surfaces can combine into double (rather<br />

than triple) corners, giving directivity in elevation under certain conditions.<br />

It was shown in Sec. 2.12 that rough surfaces like the ground<br />

can serve as satisfactory mirrors for more distant targets when the angle<br />

of incidence is sufficiently low. Because double-corner directivity<br />

depends on the mirror-like properties of a horizontal surface in front of<br />

vertical structures, we should expect strongest signals from these structures<br />

when they are seen from low angles. Many buildings or groups of<br />

buildings return strong signals at long ranges but tend to fade at shorter<br />

ranges when the higher angle of incidence reduces their retrodirectivity.<br />

If the line of sight is nearly horizontal, strong signals are sometimes<br />

observed by direct specular reflection from vertical surfaces without the<br />

benefit of mirror reflection from’ an intermediate horizontal surface.<br />

Special cases of target directivity in azimuth arise when, for instance,<br />

large groups of buildings have parallel walls. The signals in directions<br />

perpendicular to these walls are often intensified, as can be seen in<br />

Fig. 3.35.<br />

3.16. Cities.-The brightest signals within a built-up area (Boston,<br />

Mass. ) are presented in Fig. 3.27. This particular photograph was<br />

obtained with a so-called “ three-tone” presentation (Sec. 13.21), in<br />

which gain and limit level are electronically switched back and forth<br />

from levels most suitable for land-water contrast to levels giving the

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