Abstract

A method for extracting the extinction coefficient from lidar signals is presented. The method assumes the backscatter and extinction coefficient to be related by a power law and consists of approximating the integral in the lidar equation by a Riemann sum of the extinction coefficients. This approximation allows us to develop two recursion formulas for extracting the extinction coefficient as a function of range. One formula is a forward recursion, and the other is a backward recursion in the sense that solutions are generated for r ≥ r₀ and for r ≤ r_m, respectively, where r₀ is a near-end range and r_m is a far-end reference range.

© 1988 Optical Society of America

Double-ended lidar technique for aerosol studies

Herbert G. Hughes and Merle R. Paulson
Appl. Opt. 27(11) 2273-2278 (1988)

Correction function for the lidar equation and some techniques for incoherent CO₂ lidar data reduction

Yanzeng Zhao, Ting Kaung Lea, and Richard M. Schotland
Appl. Opt. 27(13) 2730-2740 (1988)

Transmission as an input boundary value for an analytical solution of a single-scatter lidar equation

Gerard J. Kunz
Appl. Opt. 35(18) 3255-3260 (1996)

Sensitivity of a lidar inversion algorithm to parameters relating atmospheric backscatter and extinction

Herbert G. Hughes, Jerry A. Ferguson, and Donald H. Stephens
Appl. Opt. 24(11) 1609-1613 (1985)

Error analysis for the lidar backward inversion algorithm

Francesc Rocadenbosch and Adolfo Comerón
Appl. Opt. 38(21) 4461-4474 (1999)