To use a razorblade to measure beam waist at multiple points along the optical axis, so as to later extrapolate the modal profile of the entire beam. This information will then be used to effectively couple AUX laser light to fibers for use in the frequency offset locking apparatus.
1) Step the micrometer-controlled razorblade across the beam at a given value of Z, along optical axis, in the plane orthogonal to it (arbitrarily called X).
2) At each value of X, record the corresponding output of a photodiode, (Thorlabs PD A55) here given in mV.
3) Repeat process at multiple points along Z
Data from each iteration in the X were fitted to the error function shown below.
V(x) = A*(erf((x-m)/s)+c)
In the Y, they were fitted to:
V(x) = -A*(erf((x-m)/s)+c)
'A' corresponds to an amplitude, 'm' to a mean, 's' to a σ, and 'c' to an offset.
(Only because in Y measurements, the blade progressed toward eclipsing the beam, as opposed to in the X where it progressively revealed the beam.
These fits can be solved for x = (erf-1((V/A)-c)*s)+m1 which can be calculated at the points (Vmax/e2) and (Vmax*(1-1/e2)). The difference between these points will yield beam waist, w(z).
Calculations yielded waists of: X1=66.43um, X2=67.73um, X3=49.45um, Y1=61.20um, Y2=58.70, Y3=58.89
These data seem suspect, and shall be subjected to further analysis.