[Tanaka, Ushiba]
Abstract:
Current OMC length fluctuation might be limited by sensing noise feedback through OMC PZTs.
So, it would be better to optimize OMC LSC to reduce the residual OMC length motions.
Detail:
Since OMC LSC residual motion was one of the large coupling path to the OMC transmission (klog30657 and klog30613), we evaluated current OMC length residual motion.
To evaluate the length motion, we used following two ways:
1. Length fluctuation by vibration of optical table
2. Length fluctuation by sensing noise through OMC LSC.
Length fluctuation by vibration of optical table
To evaluate the length fluctuation by #1 path, we measured transfer function from OMC geophone to OMC length fluctuation by white noise shaker injection.
We measured the transfer function of each 10Hz bands and combined it to avoid saturation.
OMC length was calibrated into displacement in the unit of meter by comering the condition with old optical efficiency measureent (klog30535).
Calibration factor of 5.1e9 cnt/m was obtained 300-cnt dither amplitude with 29mW OMC trans.
During the measurement, we used 30000-cnt dither amplitude with 30.5mW OMC trans.
Since the actuator efficiency of dither PZT was reduced by a factor of 10 due to the change of PZT driver for OMC DC PD protection (klog32549), calibration factor during the measurement is 5.1e9 *(30000/300)/10 * 30.5/29 = 5.4e10 cnt/m, which is 1.9e-11 m/cnt (note that current nominal OMC lock was done by 500-cnt dither amplitude, so calibration factor during the OBSERVATION state should be 1.1e-9 m/cnt).
Figure 1 shows the measured transfer function from optical table displacement measured by in-vac geophone to OMC error signals.
Bottom left and middle right show the TF from OMC geophone signals (calibrated into the unit of meter) to OMC error signals (also calibrated into the unit of meter) at 130-200 and 50-130 Hz, respectively.
Top right and bottom right shows the coherence between OMC error signals and geophone signals during the measurement.
By using these TF and geophone spectrum during the OBSERVATION state, we can estimate the OMC length fluctuation due to OMC stack vibration as shown in fig2 (blue).
Length fluctuation by sensing noise through OMC LSC
As discribed in the above, calibration factor of OMC error signals during the observation is 1.1e-9 m/cnt, so the current sensing noise of OMC error signals in the unit of meter can be plotted as shown in fig3.
Current UGF of the OMC LSC loop is about 9Hz (klog31780), so I made a OLTF model according to the filters implemented in K1:OMC-LSC_FB_FLT filter bank and calculated the OMC length fluctuation due to feedback of the sensing noise.
Figure 4 shows the result with OMC length fluctuation estimated from OMC geophone spectrum.
According to this calculation, current OMC length fluctuation seems to be limited by OMC LSC feedback noise upto 120Hz except for several peaks.
So, it might be worth trying to modify the OMC LSC loop to mitigate the OMC length fluctuation around 100Hz.
Note:
Currently, CARM noise coupling somehow increased and noise around 5kHz is larger than the best sensitivity.
So, reducing CARM coupling and improving the sensitivity around 5kHz also contributes to reduce the OMC length fluctuation through sensing noise reduction.