I wrote down the settings according to which I tuned the optickle model of the 40m Upgrade.
Basically I set it so that:
- PRC alone anti-resonant for the carrier and resonant for both sidebands
- SRC alone resonant for the carrier and resonant for the f2 sideband
In this way when the carrier becomes resonant in the arms we have:
- carrier resonant in PRC and anti-resonant in SRC
- f1 resonant in PRC and non resonant in SRC
- f2 resonant in SRC
The DARM offset for DC readout is optional, and doesn't change those conditions.
I also plotted the carrier and the sideband's circulating power for both recycling cavities.
I'm attaching a file containing more detailed explanations of what I said above. It also contains the plots of field powers, and transfer functions from DARM to the dark port. I think they don't look quite right. There seems to be something wrong.
Valera thought of fixing the problem, removing the 180 degree offset on the SRM, which is what makes the sideband rather than the carrier resonant in SRC. In his model the carrier becomes resonant and the sideband anti-resonant. I don't think that is correct.
The resonant-carrier case is also included in the attachment (the plots with SRMoff=0 deg). In the plots the DARM offset is always zero.
I'm not sure why the settings are not producing the expected transfer functions. |