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Radar System Engineering

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SEC. 15.8] CHOICE OF BEAM SHAPE 603<br />

provided by addition of a third system, but the additional complexity<br />

was thought to be operationally not worth its cost.<br />

Reflection of radiation from the earth’s surface greatly influences<br />

the radar beam characteristics in elevation angle, and such effects must<br />

be given careful consideration. Over water, the reflection coefficient is<br />

high for all wavelengths of interest for air surveillance, and for very small<br />

angles of incidence it can be assumed to be 100 per cent. Over land,<br />

the reflection coefficient varies markedly with detailed surface shape and<br />

with the composition of the terrain, and in general increases with increasing<br />

wavelength. Adequate data are not available on the reflection<br />

coefficient, but at wavelengths of 10 cm or less it is assumed to be normally<br />

negligible, and at a few meters it is normally substantial.<br />

~<br />

ẓ<br />

2<br />

::<br />

5 c .- 1<br />

s<br />

2<br />

g<br />

g<br />

<<br />

0<br />

Rance<br />

in miles<br />

FIG. 15.5.—Calibrated vertical-coverage diagram of actual radar using 7-in. B-scope<br />

with antenna rotating at 2 rpm. Effective antenna height is 100 ft. Target is a single<br />

B-24.<br />

The detailed effects of surface reflection which influence coverage are<br />

very complex. Some of the more important effects and conclusions<br />

are summarized below (see also Sec. 2.12).<br />

1.<br />

2.<br />

3.<br />

4.<br />

If surface reflection is high, the lowest possible angle of coverage is<br />

raised from the horizon to an angle a = k/2h, where a is in radians<br />

and h is the height of the antenna above the surface.<br />

If surface reflection is low, radiation striking the surface is lost.<br />

It is clearly desirable to minimize this loss by beam-shaping.<br />

Over an angular region in elevation where reflected intensity<br />

equals direct intensity, R~,, at the center of an interference lobe<br />

is doubled, but midway between two lobes R~.X = O.<br />

At long wavelengths (one meter or greater), the use of reflected<br />

radiation reduces requirements on antenna size, but the nulls

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