We have a calibration of the north slow voltage control into laser frequency of .
From this number we can estimate how much the cavity temperature is fluctuating based on what laser frequencies lock our cavities:
, where is the cavity length of and is the frequency of the resonating laser in the cavity.
When the temperature of the cavity changes, we change the length of the cavity as well according to
, where is the coefficient of linear expansion of , and is temperature.
Combining the above gives
Combining with the calibration of the laser slow voltage:
We usually get fluctuations in on the order of , which would mean our cavity is fluctuating in temperature by ~.