Lorentzian line shape function

Click For Summary
The discussion centers on a Lorentzian line shape function used to measure particle beam flux with a perpendicular laser beam. The equation presented includes a kv term, which raises questions about its significance. One participant suggests that kv may represent an increment for the x-axis, while another indicates that Doppler broadening should be accounted for by adjusting the line width rather than using the kv term. The conversation highlights the need for clarity on the role of the kv term in the context of Doppler effects. Understanding these nuances is crucial for accurate measurements in particle physics.
Carnot
Messages
18
Reaction score
0
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(\nu) = \frac{\gamma/2}{(\nu - \nu_0 + kv)^2 +(\gamma^2/4)}

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
 
Physics news on Phys.org
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. /gamma (not kv).
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 105 ·
4
Replies
105
Views
8K
  • · Replies 16 ·
Replies
16
Views
5K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 27 ·
Replies
27
Views
3K