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Lidar equation has been derived for the case when the anisotropy of a scattering medium is assumed to be weak to introduce any essential distortions into the wave front of a sounding radiation. It is shown in the paper that this equation may successfully b used when interpreting data of lidar sensing of crystal clouds in the atmosphere.
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Bruno Valentinov Kaul, "Lidar equation for sensing optically anisotropic media," Proc. SPIE 3495, Satellite Remote Sensing of Clouds and the Atmosphere III, (14 December 1998); https://doi.org/10.1117/12.332687