# Range normalization

From AMS Glossary

## 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*/*r*_{0})^{2}, where*r*is the range and*r*_{0}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*r*^{2}even as the incident flux density decreases with*r*^{2}. 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.