A two-frequency lidar inversion on the assumptions of a range-independent relationship between the extinction coefficients of the two considered lidar wavelengths and of constant extinction-to-backscatter ratios was originally developed by Potter [Appl. Opt. 26, 1250 (1987)]. It is an iterative procedure to retrieve the boundary value for solution of the single-scatter lidar equation. This boundary value is expressed by the aerosol transmission along the evaluated lidar path. Recently, Kunz [Appl. Opt. 38, 1015 (1999)] stated that there is not enough information in the lidar signals of two wavelengths to obtain a unique solution for the boundary value and hence for the aerosol extinction profile. It is shown that a unique solution of the two-frequency lidar inversion exists, for which an analytical expression of the boundary value and, hence, the aerosol extinction profile, is given.
© 1999 Optical Society of America
Original Manuscript: December 21, 1998
Revised Manuscript: August 19, 1999
Published: December 20, 1999
Jörg Ackermann, "Analytical solution of the two-frequency lidar inversion technique," Appl. Opt. 38, 7414-7418 (1999)