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R N-1<br />

C h a p t e r 2 : r a d i o - W a v e P r o p a g a t i o n 25<br />

Isophase<br />

spherical<br />

wave<br />

surface<br />

B 1<br />

D 2<br />

r b<br />

r b<br />

r b<br />

r a<br />

r a<br />

r a<br />

A<br />

S<br />

C<br />

r a<br />

r a<br />

r b<br />

r b<br />

B 2<br />

D 1<br />

D 1 A-S<br />

D S-C<br />

R N<br />

S<br />

(Rotated view)<br />

Figure 2.9B Fresnel zone geometry.<br />

Using ray tracing, we see rays r a incoming to plane [B l -B 2 ] and rays r b outgoing from<br />

plane [B l -B 2 ]. The signal seen at C is the algebraic sum of all rays r b. . The signal pattern<br />

will have the form of an optical interference pattern with wave cancellation occurring<br />

between r b waves that are a half wavelength apart on [B l -B 2 ]. The ray impact points on<br />

plane [B l -B 2 ] form radii R n called Fresnel zones. The lengths of the radii are a function of<br />

the frequency and the ratio of the distances D 1 and D 2 (see Fig. 2.9B). The general expression<br />

is

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