I spent this morning looking at the mounts and other mechanical parts necessary for the ECDL. This afternoon, I met with Tara to discuss how I should run some noise calculations for including a servo to reduce frequency noise. I will deal with the mechanical logistics later while we are waiting for the diode, etc. from Thorlabs.
Quote: 
Its true that this approximation is valid for low frequencies, but we are interested in the total RMS frequency noise for cavity locking, not just the spectral density.
So you do have to take into account the frequency dependence. IF there is a lot of noise at 100's of MHz, these lasers will be totally useless to us.

I corrected this, since the paper did have an equation about how the power spectral density is reduced by frequency. This is in the updated noise pdf attached. We no longer have a low enough noise level to do the crackle experiment below 100 Hz or above 10 MHz using our original estimates. This makes running calculations including a servo important.
I also played around in Mathematica trying to see what value of X would be sufficient to reduce the noise level. Uploading the notebook isn't working right now. It shows that in order to reduce the noise level to meet the requirements for the Crackle experiment, we need a parameter X of about 3000. This is quite large, and would require a cavity of length 30 m. Alternatively, we could reduce the noise by:
 A different laser diode that had low enough noise to begin with, or a very small reflectivity
 A diffraction grating that had a very high reflectivity
 Finding a very good TEC, which would reduce thermal noise (most websites don't seem to offer this data...)
 Note that at this time, it seems unfeasible to go with any current driver besides the one designed by Libbrecht and Hall, since the current noise limits how low the diode's noise can be at high frequencies
Tonight or tomorrow, I will try to shop around to see if other laser diodes have slightly nicer specs. I will also look to see if other papers encountered the same problem.
