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Message ID: 1963     Entry time: Wed Jul 8 18:32:51 2015
Author: Arjun 
Type: Misc 
Category: PD noise 
Subject: PD noise update 

The DAQ system in the ATF lab has not been yet setup completely and as mentioned in the previous eLog, we decided to go ahead and build those circuits by hand, as labaorious as they were we were finally able to get a few servo designed, simulated, characterised and running. In this eLog, I describe the servos we built. 


Cavity-Locking Servo

The first servo was the cavity locking servo, as mentioned in a previous post that the SR560 used has very very low output rails(-4V to +4V) and hence can hardly keep the cavity locked in response to the laser drifting for a few minutes. We implemented this as a filter on a solder board, with rails of -15V to +15V but this wasnt enough, to hold the cavity locked for more than 10mins. We needed some very high voltages! So we put to use the piezo driver in the ATF lab.

Our initial servo was a simple one pole active RC filter with a cutoff of ~10Hz and a DC gain of 100. This worked and kept the cavity locked, but it unlocked itself after a 10mins or so. Now, when we implemented the piezo driver, we could keep the cavity locked for much much longer times(~40 mins) but it was only marginally stable and showed some features of instability. This was because the piezo driver itself has a low pass characterstic with a pole of ~8Hz and a gain of 20 and this was making the feedback loop unstable, because now we have {\frac{1}{f^2}} slope after 10Hz and at around unity loop gain frequency ~300Hz the phase margin was very poor ( probably 10's of degrees) this made the loop unstable. 

Solution was simple- add a zero and push up the phase margin! This was done with a zero at around 500Hz and an additional flat gain stage was put in with a gain of 30, this was to further increase the UGF and push it beyond ~3-5 Khz. This was first simulated and the built and tested.

The schematic of the setup is given below along with the components values(note: I have simply modeled the piezo driver's response as non-inverting low pass filter,this does not refer to the PZT actuator's response but just the high voltage piezo driver's response)

The following images are comparison of TF simulated on LISO and measured TF for each of the stages and the combined TF as well. But the TF with the piezo could not be taken yet, so just the LISO result is shown. Some comments on them:-



The measured response is almost a perfect match for the simulated LISO response with the gain differing by 0.02dB.  So the flat gain is working as expected with a wide bandwidth of about ~20kHz.

2) The following is the TF with the second boost stage included:-

 The TF is as expected. With the zero almost exactly at 500Hz. 

3) The full cavity servo simulated TF:-

The features are exactly as predicted, a steep slope from the two poles and a flattening effect by the zero after 500Hz, this combined with a flat gain stage pushes the UGF to almost 7kHz, which is more than sufficient for our purpose and the phase margin has also drastically improved. Also find images of the attached circuit.


 Instensity Control Servo:

The next step was to analyze the and design the intensity servo. For this first the free running laser noise was measured this was around \sim 10^{-4}Vrms/\sqrt{Hz}, which is very bad. We wanted to reduce this common mode noise to shot noise limit, which would require almost 5 orders of supression. Also we would want to setup a stable offset as if its forced to zer we wont have any power from laser at all. We are in the process of designing this and we should be able achieve this in a few days. 

Attachment 1: cavity-servo.pdf  31 kB  | Hide | Hide all
Attachment 2: cav_TF_stage1.pdf  6 kB  | Hide | Hide all
Attachment 3: cav_TF_stage1.pdf  6 kB  | Hide | Hide all
Attachment 4: cav_TF_stage2.pdf  7 kB  | Hide | Hide all
Attachment 5: cav_TF_revised.pdf  10 kB  | Hide | Hide all
Attachment 6: cavity-servo_(1).pdf  32 kB  Uploaded Wed Jul 8 23:36:06 2015  | Hide | Hide all
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