Consider a received radar signal of the form(adsbygoogle = window.adsbygoogle || []).push({});

[tex] s(t) = \frac{p e^{i 2 \pi f ( \frac{2 R(t)}{c} )}}{ [4 \pi R(t)]^2} [/tex]

where p is the reflectivity value, f is the carrier frequency, and R(t) is the range. In some cases I have seen this written as

[tex] s(t) = p e^{ i 2 \pi f ( \frac{2 R(t)}{c} )} [/tex]

(That is in many cases the geometric spreading is ignored). My question is can the [itex] [4 \pi R(t)]^2 [/itex] be eliminated?

Note that I am a math grad student working on a research project in radar, so I am not sure about the specifics reasons this is done.

Additional Details

It is assumed that the antenna is an isotropic point source and the target is a point scatter. Also, the incident wave is assumed to be a complex sinusoidal.

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# Radar received field no spreading

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