Lidar equation

From Glossary of Meteorology



lidar equation[edit | edit source]

An equation, which may appear in different forms depending on the particular system or application, that describes the relation between the received power p measured in a lidar receiver channel from range r, and the characteristics of the lidar system and the transmission medium (usually the atmosphere) through which the laser pulse propagates.

The most common form of the equation is for plane-polarized radiation and single scattering, for which
ams2001glos-Le15
where β is the volume backscattering coefficient at range r, t2 is the two-way transmittance to range r, and C is the lidar constant, which depends on such system parameters as the transmitted power, pulse duration, and receiver characteristics. The transmittance is related to the volume extinction coefficient γ by
ams2001glos-Le16
Normally scattering and extinction of the lidar beam are caused by the combined effects of molecules, aerosols, and hydrometeors, so that β and γ represent the sum of their separate contributions.
Compare radar equation.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.