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Radar System Engineering

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68 PROPERTIES OF RADAR TARGETS<br />

[SEC.3.6<br />

A ~nx = ~.<br />

where a is the edge of the corner. This yields for the maximum<br />

section<br />

4 7ra4<br />

‘m” = 3 F’<br />

cross<br />

showing that the free-space range at which a corner reflector can be seen<br />

by a given radar is proportional to its linear dimensions. Figure 3.4<br />

shows the maximum cross section at various radar frequencies as a<br />

function of edge length.<br />

As a/X (and consequently the gain of a corner reflector) is increased,<br />

greater attention must be paid<br />

to the mechanical construction<br />

of the reflector. When the angle<br />

between one pair of planes differs<br />

from 90°, the triply reflected return<br />

from the corner splits into<br />

two divergent beams, with a con-<br />

FIG. 33.-A cluster of corner<br />

reflectors.<br />

1,~<br />

Edge(a) of comer in cm<br />

FIG. 34.-. Maximum scattering crosssection<br />

of triangularcorner reflector.<br />

sequent reduction in signal return. If two angles are in error, there<br />

are four beams; if all three angles are wrong, six beams result. The<br />

theory of the effect of errors’ yields the result that a loss in returned<br />

signal of 3 db is caused by a displacement of the outer edge of the corner<br />

of about A/2. This limitation requires extremely close attention to the<br />

mechanical construction of corner reflectors of high gain. It also presents<br />

the possibility of applying modulation to the reflection from a corner by<br />

slight motion of one side.<br />

3.6. Target Shaping to Diminish Cross Section.-A corner reflector<br />

gives a radar return by specular reflection for nearly all directions of<br />

1R. C. Spencer, “ Optical Theory of the CornerReflector,” RL Report No. 433,<br />

Nfar,2, 1944,

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