Lidar equation: Difference between revisions

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|Display title=lidar equation
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|Meaning=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.
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|Explanation=The most common form of the equation is for plane-polarized [[radiation]] and [[single-scattering|single scattering]],  for which  <blockquote>[[File:ams2001glos-Le15.gif|link=|center|ams2001glos-Le15]]</blockquote> where &beta; is the volume backscattering coefficient at range ''r,'' ''t''<sup>2</sup> is the two-way [[transmittance]] to  range ''r,'' and ''C'' is the [[lidar constant]], which depends on such system parameters as the [[transmitted power|transmitted  power]], [[pulse duration]], and [[receiver]] characteristics. The transmittance is related to the [[volume extinction coefficient|volume  extinction coefficient]] &gamma; by  <blockquote>[[File:ams2001glos-Le16.gif|link=|center|ams2001glos-Le16]]</blockquote> Normally [[scattering]] and [[extinction]] of the lidar beam are caused by the combined effects of  molecules, [[aerosols]], and [[hydrometeors]], so that &beta; and &gamma; represent the sum of their separate  contributions. <br/>''Compare'' [[radar equation]].
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== lidar equation ==
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<div class="definition"><div class="short_definition">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.</div><br/> <div class="paragraph">The most common form of the equation is for plane-polarized [[radiation]] and [[single scattering]],  for which  <div class="display-formula"><blockquote>[[File:ams2001glos-Le15.gif|link=|center|ams2001glos-Le15]]</blockquote></div> where &beta; is the volume backscattering coefficient at range ''r,'' ''t''<sup>2</sup> 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]] &gamma; by  <div class="display-formula"><blockquote>[[File:ams2001glos-Le16.gif|link=|center|ams2001glos-Le16]]</blockquote></div> Normally [[scattering]] and [[extinction]] of the lidar beam are caused by the combined effects of  molecules, [[aerosols]], and [[hydrometeors]], so that &beta; and &gamma; represent the sum of their separate  contributions. <br/>''Compare'' [[radar equation]].</div><br/> </div>
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Latest revision as of 06:39, 29 March 2024

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.

An instrument used to detect the presence of and to determine the information carried by electromagnetic radiation.

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