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Entry  Tue Jun 19 23:36:19 2012, yuta, Update, LSC, calibrated POY error signal LSCyarmTF_usingITMY.pngLSCyarm_HAover1plusG.pngPOYerrorcalibration.png
    Reply  Wed Jun 20 00:01:04 2012, Jenne, Update, LSC, calibrated POY error signal LSC_POY_11_I_ERR_calib_19June2012.pdfPOY_calib_19June2012_FiltBankSettings.png
    Reply  Wed Jun 20 18:43:57 2012, yuta, Update, LSC, calibrated POX error signal LSCxarmTF_usingITMX.pngLSCxarm_HAover1plusG.pngPOXerrorcalibration.png
Message ID: 6834     Entry time: Tue Jun 19 23:36:19 2012     Reply to this: 6835   6841
Author: yuta 
Type: Update 
Category: LSC 
Subject: calibrated POY error signal 

[Jenne, Yuta]

We calibrated POY error signal(C1:LSC-POY11_I_ERR). It was 1.4e12 counts/m.

Modeling of Y arm lock:
  Let's say H is transfer function from Y arm length displacement to POY error signal. This is what we want to measure.
  F is the servo filter (filter module C1:LSC-YARM).
  A is the actuator TF using ITMY. According to Kiwamu's calibration using MICH (see elog #5583),

  A_ITMY  = 4.832e-09 Hz^2*counts/m / freq^2

  We used ITMY to lock Y arm because ITMY is already calibrated.

What we did:
  1. Measured openloop transfer function of Y arm lock using POY error signal using ITMY (G=HFA). We noticed some discrepancy in phase with our model. If we include 1800 usec delay, phase fits well with the measurement. I think this is too big.
LSCyarmTF_usingITMY.png


  2. Measured a transfer function between actuator to POY error signal during lock. This should give us HA/(1+G).
LSCyarm_HAover1plusG.png

  4. Calculated H using measurements above. Assuming there's no frequency dependance in H, we got

  H = 1.4e12 counts/m

POYerrorcalibration.png

 For sanity check; Peak to peak of the POY error signal when crossing the IR resonance is about 800 counts. FWHM is about 1 nm, so our measurement is not so crazy.

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