Edoardo and I are aligning the laser in the CMTF to an optical cavity. We can get a lot of optical power into TEM01 and TEM10 modes, but can't manage to get power into a TEM00 mode, or find any spike corresponding to this mode on an oscilloscope when sweeping the laser's frequency by tuning its fast PZT input. We're driving the PZT from 0V to +100V and the laser's frequency shift per volt was previously measured to be 1.66 MHz/V (the spec in the manual is 1-2V/MHz).
Calculating the frequency difference between the TEM00 and TEM01 modes, we find that it should be 150 MHz, so in fact we should not expect to see a TEM00 spike on the oscilloscope if the TEM01 mode is roughly centered on the scope, since our scanning range is only 165 MHz. To calculate this, see eqs. (10) and (11) in https://opg.optica.org/ao/abstract.cfm?uri=ao-23-17-2944
Given this information, we plan to adjust the laser temperature so the TEM01 mode is slightly out of the scanning range and then look for a spike corresponding to the TEM00 mode. We will update with our success or lack thereof.