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Entry  Tue Jul 2 00:25:14 2013, gautam, Update, Green Locking, Universal PDH box tuning circuit.pdfmodel.pdf
    Reply  Wed Jul 10 01:27:44 2013, gautam, Update, Green Locking, Y-end Green PDH open-loop transfer function Green_PDH_measurement.pdfY-end_Green_PDH.pdf
Message ID: 8817     Entry time: Wed Jul 10 01:27:44 2013     In reply to: 8789
Author: gautam 
Type: Update 
Category: Green Locking 
Subject: Y-end Green PDH open-loop transfer function 

 [Annalisa, gautam]

Summary:

We have measured the open-loop transfer function of the Y-end green PDH loop. From the measurement, the loop UGF is ~12kHz.

Details:

We have been trying to measure this transfer function for some time now, and playing around with various points of injecting the excitation and measuring the output. Koji helped arrive at one that actually worked, and the scheme used to make this measurement is shown in the sketch below. The SR785 signal analyzer was used to make the measurement, while an SR560 preamp was used to sum the output from the PDH box (PZT-OUT) and the excitation, with this sum being delivered to the auxiliary laser PZT via a pomona box that sums the servo output and the signal from the LO. The transfer function measurement made was a1/a2 w.r.t the sketch attached.

  • The swept-sine measurement was done from high to low frequencies, as the open-loop gain was expected to be high at low frequencies.
  • After some trial and error, we realised that the excitation amplitude on the SR785 can be varied continuously during the course of a swept sine measurement using the dial on the front panel. We started out with a 1mVpp signal at the high end of the frequency sweep (~102kHz, the upper limit on the SR785) and went up to 17mVpp at ~30Hz). These values were determined by trial and error, and were approximately the maximum that did not kick the loop out of lock/into a higher order mode.

Remarks:

  • As per this paper, the expected bandwidth of this loop is expected to be ~30kHz, while the measured UGF was more like 11.7kHz. Perhaps we can get this closer to the expected 30kHz by increasing the servo gain. The measurement shown was done with the servo gain knob on the Universal PDH box set to ~7.86. We tried two other values, ~8.2 and 10 (this was the limit on the knob), but the UGF first increased to ~13kHz (for the 8.2 gain), and then decreased to ~5kHz with a gain of 10. Not sure why this was, but it can be looked into further. 
     

Set-up to measure Y-end Green PDH transfer function:

Green_PDH_measurement.pdf

 

Measured Open Loop Transfer Function:

Y-end_Green_PDH.pdf

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