Lidar s-Function: Definition, Meaning & Uses

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the definition, meaning, and applications of the lidar s-function, specifically the equation S(r)=ln(P(r)r^2/(P(r0)r0^2)). Participants explore its significance in atmospheric research and its relation to light intensity and distance.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant defines the s-function and its components, indicating that r represents distance in the atmosphere and P denotes the intensity of detected light.
  • Another participant expresses frustration at the lack of explanations regarding the s-function and seeks recommendations for literature on lidar and atmospheric research.
  • A different participant references ERIM's Electro-Optic handbook, suggesting that the equation may relate to propagation loss and the spread of a Gaussian beam, but notes that the specific equation is not found in the book.
  • One participant mentions conducting research for school and indicates that several papers contain the same equation and graphs, but they lack clarity on the rationale behind its specific form, hypothesizing it relates to atmospheric attenuation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the explanation or origin of the s-function equation, and multiple viewpoints regarding its interpretation and application remain present.

Contextual Notes

Some assumptions about the equation's derivation and its application in atmospheric contexts are not fully explored, and there is a lack of clarity on the specific sources of the equation.

Fr34k
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What is it, what does it mean/do and why is it used for? Its defined as:
S(r)=ln(P(r)r^2/(P(r0)r0^2)), where r is distance in atmosphere and P is intensity of detected light.
 
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Really no one can explain this to me?

Anyone know of a good book on the subject (lidar, atmosphere research ...) where this might be explained.
 
ERIM's Electro-Optic handbook, volume 6, has an extensive section on Lidar. I suspect your equation has to do with propagation loss and spread of a Gaussian beam through the atmosphere, but I did not see that particular equation in the book. Whre did it come from?
 
Well I am doing some research for school, and many of the papers I've been reading have the same equation and associated graphs with it and it's never explained why exactly in this form. From what I managed to come up with is some sort of attenuation of atmosphere.
 

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