Saturation Intensity and Power

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Hi, I am not sure if this is an easy question, but I've been looking around and I haven't been able to find some exact equation to this.
I performed an experiment where I allowed for a laser beam to go through a cell (of Rubidium-85 and 87) and got the resulting spectrum. The initial [100%] power was [itex]P_{in}= 100 \mu W[/itex]... Then using different transition rate ([itex]T[/itex]) plates I was able to change the power of the beam...
So I was able to get the spectra's amplitudes [itex]A[/itex] and widths [itex]\Delta v[/itex] for different [itex]P_{incident}[/itex] (check attachments)...

How is the [itex]P_{incident}(A), P_{incident}((\Delta v)^2)[/itex] can give the saturation power [itex]P_{sat}[/itex] and intensity [itex]I_{sat}[/itex] ? In fact I don't know with what function to fit these [itex]P[/itex]'s since I only got 5 values and the function form is not obvious.
 
Attachments
  • Plot of nonlinear spectroscopy signal with filter (V, scaled by 2*10^-2) against frequency (MHz), with three Lorentz fits in red, blue and green on dips, and fit parameter tables for each.
    Filter 1 (T=0.135).png
    35.6 KB · Views: 544
  • Nonlinear spectroscopy signal (V) against frequency (MHz) from 500 to 3500 MHz, with three Lorentzian fits marked in green, red and black near 1600 to 2000 MHz, and fit result tables at top.
    Filter 2 (T=0.135).png
    36.7 KB · Views: 524
  • Three Lorentz fit result tables (Green, Blue, Red) above a plot of nonlinear frequency signal with filter (V x10^-2) against frequency (MHz) from 0 to 3500, showing dips and peaks with colored Lorentzian fit curves near 1800 to 1950 MHz.
    Filter 3 (T=0.037).png
    51.5 KB · Views: 552
  • Three Lorentz fit result tables (green, blue, red) above a plot of nonlinear spectroscopy signal with filter (V) versus frequency (MHz), with coloured Lorentz fits near 1700 to 2000 MHz and an annotation T=0.512, A=175.4 ± 47.6.
    Filter 4 (T=0.512).png
    31.3 KB · Views: 574
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?