Pumping rates

[Christophe Mullesch]

Hi everyone,

in the rate equations the pumping rate for each laser is computed (roughly) as 

R ~ s / (1 + (delta / gamma)^2 )

with the intensity s, detuning delta and transition linewidth gamma. I am confused about the missing factor of +s in the denominator, as e.g. M. Fox and H. J. Metcalf provide this extra factor in their derivations of the pumping rates. Is there a reason why is was omitted in this framework, like some kind of low-intensity assumptions?

Best,
Christophe

[Barker, Daniel S. (Fed)]

Hi Christophe,

 

The saturation that you’re expecting from the ‘s’ in the denominator is provided by the multiplication of R by the population difference between the two levels (e.g. N_e – N_g). This is Eq. (28) in the CPC paper describing the package.

 

Placing ‘s’ in the denominator yields the heuristic model described in section 2.3 of the paper.

 

Let us know if you have any more questions,

 

Daniel

 

From: py...@googlegroups.com <py...@googlegroups.com> On Behalf Of Christophe Mullesch
Sent: Wednesday, February 25, 2026 9:28 AM
To: pylcp <py...@googlegroups.com>
Subject: [EXTERNAL] Pumping rates

 

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[Christophe Mullesch]

Hi Daniel, 

thank you for your swift response, that clears things up for me!

Best,

Christophe