Lorentzian line shape function

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SUMMARY

The discussion centers on the interpretation of the Lorentzian line shape function, specifically the equation L(ν) = (γ/2) / ((ν - ν₀ + kv)² + (γ²/4)). The kv term is questioned, with suggestions that it may relate to Doppler broadening due to the nearly perpendicular orientation of the laser beam to the particle beam. A participant clarifies that the kv term likely represents an increment for the x-axis, while Doppler broadening should be addressed by adjusting the line width with a factor of 1/γ, not kv.

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Carnot
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Hi

I have a problem where the flux of a particle beam is measured using a (nearly) perpendicular laser beam and a photomultiplier.


I have a function looking like this:

L([itex]\nu[/itex]) = [itex]\frac{\gamma/2}{(\nu - \nu_0 + kv)^2 +(\gamma^2/4)}[/itex]

I suppose this is a Lorentzian lineshape function, but I have never seen it with the kv term.
Does anyone know what the kv term means in the equation?

Is it perhaps because the laser beam is on nearly perpendicular to the particle beam, and one therefore have to take doppler broadening into account?

Hope someone can help me, thanks
 
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Hi,
I think you took that Lorentzian function from some software manual. kv, i guess the increment for x-axis.
I guess, to consider also the Doppler broadening one can add some factor to line width, i.e. [itex]/gamma[/itex] (not kv).
 

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