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satoru.takano - 9:53 Tuesday 23 July 2024 (30517) Print this report
OMC calibration by gradient of the error signal

Takano

To do cross check with this result, I tried to estimate the calibration factor by another method.

Takano method

  1. Scan PZT around the cavity resonance with dithering and record the error signal and input signal
  2. Estimate the gradient of the error signal in [cnt/cnt] around the resonance
  3. Divide the gradient by the actuator efficiency 1.3e-10 [m/cnt] obtained by the previous measurement, and we get the calibration factor [cn/mt].

Figure1 shows the timeseries of this measurement. I estimated the calibration factor with this data, and I got the value of 1.9e13 [cnt/m], which is ~ 3000 times larger than the value estimated by OMC TRANS!

I found that the dither amplitude is different when OMC is locked and unlocked by 30 times (unlocked: 10,000, locked: 300), and the normalized factor of the error signal (OMC-LSC_NORM_OUT) didn't work properly (normalized factor around the resonance is 5~6, whereas the actual transmission value is 28) because of the lowpass filter with cutoff frequency at ~ 0.1 Hz. Taking into considering these factors, still the estimated value is higher than ~ 20 times. I will check other foactors which can affect the calibration.

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satoru.takano - 7:48 Wednesday 24 July 2024 (30539) Print this report

I took scanning data with the following settings:

  • The input of OMC-LSC_NORM is turned off
  • The offset of OMC-LSC_NORM is set to 30 (in the calculation finally this value was corrected by the actual value at the peak)
  • Dither amplitude is set to 300
  • ISS is engaged

The scanning result is shown in the Figure1. With this timeseries data, I calculated the gradient of the error signal and got the calibration factor of 6.4(5)e9 [cnt/m]. This value is a bit larger than the value obtained by the transfer function measurement (5.1(4) e9 [cnt/m]), but seems consistent.

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