Range normalization

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range normalization

In radar and lidar, adjustment of the received power to compensate for the divergence of radiant flux density with range. The received power is multiplied by (r/r0)2, where r is the range and r0 is an arbitrary reference range (e.g., 1 km).

This normalization assumes that a distributed target fills the pulse volume at range r (
see beam filling) so that the size of the scattering volume increases with r2 even as the incident flux density decreases with r2. The normalization in effect corrects for the flux divergence on the return trip from the scattering volume to the receiver.
See lidar equation, radar equation.