There were few mistakes made on this entry corrected in this one.
Attached to this entry is the proper fit of beam after the lens (previously a wrong wavelength was used for the plot).
The mean profile was used (w0 = 113.37 um 0.6981 m after the f = 100mm lens used for the characterization [lens is 40 cm after the Faraday Isolator])
The beam parameter is the following : w0 = 18.921 um @ 0.1168 m before the lens ie roughly 0.28320m after the faraday isolator.