Abstract:
I measured the schnupp asymmetry in the same manner as written in klog36343.
Since REFL PDA3 is the best sensor to use according to the previous measurement, I only used REFL PDA3 in this time.
Obtained result is 3.3443(16) m, which is really consistent with the values calculated from the results of the individual length measurement of PRX/PRY and SRX/SRY reported in klog37209 and klog37223.
Detail:
To verify the PRCL/SRCL measurement by checking the consistency of the Schnupp asymmetry between the values calculated from the length of PRX/PRY and SRX/SRY reported in klog37209 and klog37223 and from the time of flight measurement, I repeated the Schnupp asymmetry measurement reported in klog36343 with greater precision.
What I changed from the previous measurement are followings:
1. Increase the laser power from 1.2 W to 11.5 W.
2. Increase the averaging time for each measurement data from 10 second to 60 second.
3. Increase the amplitude of frequency modulation (excitation to MCE suspension) from 100 cnts to 200 cnts.
Thanks to the above modification, errors of the estimation of the optimal phase difference between X arm and Y arm were improved, resulting in the accurate result.
Figure 1 to 4 shows the measured data and fitting results.
Measurement data and fitting results are stored in //users/Commissioning/scripts/schnupp/260718/.
I summarized the optimal phase and its errors in the following table.
| optimal phase [deg] | errors [deg] | |
| PDA3 REFL 45 I with XARM | 230.031196 | 0.071549 |
| PDA3 REFL 45 Q with XARM | -40.019504 | 0.059909 |
| PDA3 REFL 45 I with YARM | 230.725665 | 0.048606 |
| PDA3 REFL 45 Q with YARM | -39.320663 | 0.047302 |
During the measurement, seed frequency for the f2 sideband was 5.624365513 MHz.
By using above results, schnupp asymmetry can be estimated as follows:
dL = 3.3443(16) m from PDA3 REFL 45 I with XARM and PDA3 REFL 45 I with YARM.
dL = 3.3443(14) m from PDA3 REFL 45 Q with XARM and PDA3 REFL 45 Q with YARM.
Schnupp asymmetry calculated from the PRX/PRY and SRX/SRY length in klog37209 and klog37223 are 3.3405(48), both results are very consistent.
Note:
For the measurement, I deleted the sensing matrix values putting at XARM and YARM, which is implemented in the work reported in klog37228.
Figure 5 shows the values before deleting the input matrix.