The fitting results for SRY in klog:37466 are shown below.
The measurement data are saved in the following Dropbox folder:
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_07_SRY
Fig. 1: Around 1.6 GHz, without a linear background. Using data from 1610.59 MHz to 1611.02 MHz, the fitted peak frequency was 1610.8297(27) MHz.
Fig. 2: Around 1.6 GHz, with a linear background. Using data from 1610.59 MHz to 1611.02 MHz, the fitted peak frequency was 1610.893(13) MHz.
Fig. 3: Around 800 MHz, without a linear background. Using data from 802.82 MHz to 803.27 MHz, the fitted peak frequency was 803.0799(23) MHz.
Fig. 4: Around 800 MHz, with a linear background. Using data from 802.82 MHz to 803.27 MHz, the fitted peak frequency was 803.147(27) MHz.
Fig. 5: Around -800 MHz, without a linear background. Using data from 800.72 MHz to 801.16 MHz, the fitted peak frequency was 800.9089(24) MHz.
Fig. 6: Around -800 MHz, with a linear background. Using data from 800.72 MHz to 801.16 MHz, the fitted peak frequency was 800.839(13) MHz.
Fig. 7: Around -1.6 GHz, without a linear background. Using data from 1592.3195 MHz to 1592.7295 MHz, the fitted peak frequency was 1592.4944(25) MHz.
Fig. 8: Around -1.6 GHz, with a linear background. Using data from 1592.3195 MHz to 1592.7295 MHz, the fitted peak frequency was 1592.4459(93) MHz.
[Fujimoto, Saito]
We adjusted the HWP and polarizer for SRY to obtain a clean peak and acquired the beat signal data. After fitting the data, the deviation of the SRY length from the design value was found to be 2.332(93) cm. This result is consistent with the previous measurements reported in klog:37455: the deviations from the design value were 2.168(80) cm with the HWP scale at 14 and the polarizer scale at 295, and 2.319(71) cm with the HWP scale at 59 and the polarizer scale at 250. However, it is slightly different from the result obtained before moving the lens to improve the mode-matching ratio (klog:37250), where the deviation of the SRY length from the design value was 1.757(50) cm.
Using the SRX result from klog:37450 and the results from klog:37458, I calculated the SRC length and Schnupp asymmetry as follows:
SRC length: 66.61860(51) m
Schnupp asymmetry calculated from the SRC: 3.33775(102) m
Schnupp asymmetry from the weighted average: 3.33842(49) m
These results are consistent with the previous measurements reported in klog:37455 and klog:37458. With the HWP scale at 14 and the polarizer scale at 295, the SRC length was 66.61778(45) m, the Schnupp asymmetry calculated from the SRC was 3.339390(904) m, and the Schnupp asymmetry from the weighted average was 3.33884(48) m. With the HWP scale at 59 and the polarizer scale at 250, the corresponding values were 66.61853(41) m, 3.337880(825) m, and 3.33839(47) m, respectively. Comparing these results with the measurements before moving the lens to improve the mode-matching ratio (klog:37260), where the SRC length was 66.61409(70) m, the Schnupp asymmetry calculated from the SRC was 3.34023(139) m, and the Schnupp asymmetry from the weighted average was 3.33791(45) m, the SRC length and the Schnupp asymmetry calculated from the SRC are somewhat different. However, the Schnupp asymmetry obtained from the weighted average is consistent with the previous result.
First, we set the HWP scale at the sub-laser to 82 (S polarization) and set the polarizer in front of the RFPD to S polarization. With the main laser turned off, we adjusted the alignment of the sub-laser to SRY. Next, we locked the main laser to SRY, adjusted the alignment to the RFPD, and checked the beat signal. However, as in the previous measurement (klog:37440), the peak was split. Therefore, we adjusted the alignment of the sub-laser to maximize the beat signal, and rotated the HWP and polarizer to maximize the beat signal as well. The HWP scale was then 124 (P polarization), and the polarizer scale was 2 (P polarization). However, the peak was split into three peaks.
Next, we turned off the main laser and adjusted the alignment again using the sub-laser. When the polarizer in front of the RFPD was removed, the maximum signal was -16 counts for S-polarized injection and -52 counts for P-polarized injection, giving a difference of about a factor of three. The peak also appeared cleaner as a single peak for S polarization, whereas it was split into about three peaks for P polarization.
Next, with the HWP scale at 82 (S polarization), we set the polarizer scale to 272 (S polarization). Peaks separated by approximately 1 MHz were observed (Photo 1). we then set the polarizer scale to 317, and one of the two peaks became larger (Photo 2). When I set the polarizer scale to 227, the other peak appeared to become larger (Photo 3). The three cases are plotted together in Fig. 1.
Next, we acquired beat signal data around 1.6 GHz (Photo 4), 0.8 GHz (Photo 5), -0.8 GHz (Photo 6), and -1.6 GHz (Photo 7) with the HWP scale at 82 and the polarizer scale at 317, where the peak appeared the cleanest. I fitted the obtained SRY data both with and without a linear background. I will post the fitting results for the individual peaks later. From the peak frequencies obtained from the fits and their uncertainties, I calculated the minimum and maximum values within the uncertainty ranges. I then took the overall minimum and maximum values from the two fitting models, with and without a linear background, as the uncertainty range.
Therefore, I used the following data to determine the SRY length:
Minimum (MHz) Maximum (MHz)
1610.8271 1610.9060
803.0776 803.1743
-800.9112 -800.8258
-1592.4969 -1592.4366
I set the FSR index of the data around -1.6 GHz to 0. For each pair of nearby peak frequencies, I calculated the frequency difference and divided it by the design value of the FSR. I then rounded the resulting value to the nearest integer to determine the FSR index. I fitted the measured peak frequencies as a function of the FSR index using the linear function AN+B, where A and B are fitting parameters and N is the FSR index.
The fitting results are shown below (Fig. 2):
A: 2.307881(33) MHz
B: -1592.467(27) MHz
Since A corresponds to the FSR, I calculated the SRY length from the fitted value of A, obtaining:
Fitted value: 64.94972(93) m
Design value: 64.9264 m
Difference from the design value (fitted value − design value): 2.332(93) cm
This result is consistent with the previous measurements reported in klog:37455: the deviations from the design value were 2.168(80) cm with the HWP scale at 14 and the polarizer scale at 295, and 2.319(71) cm with the HWP scale at 59 and the polarizer scale at 250. However, it is slightly different from the result obtained before moving the lens to improve the mode-matching ratio (klog:37250), where the deviation of the SRY length from the design value was 1.757(50) cm.
Using the SRX result from klog:37450 and the results from klog:37458, I calculated the SRC length and Schnupp asymmetry as follows:
SRC
Calculated value: 66.61860(51) m
Design value: 66.5913 m
Difference from the design value (calculated value − design value): 2.730(51) cm
Schnupp asymmetry calculated from the SRC
Calculated value: 3.33775(102) m
Design value: 3.3298 m
Difference from the design value (calculated value − design value): 0.795(102) cm
Schnupp asymmetry
Weighted average: 3.33842(49) m
Design value: 3.3298 m
Difference from the design value (weighted average − design value): 0.862(49) cm
These results are consistent with the previous measurements reported in klog:37455 and klog:37458. With the HWP scale at 14 and the polarizer scale at 295, the SRC length was 66.61778(45) m, the Schnupp asymmetry calculated from the SRC was 3.339390(904) m, and the Schnupp asymmetry from the weighted average was 3.33884(48) m. With the HWP scale at 59 and the polarizer scale at 250, the corresponding values were 66.61853(41) m, 3.337880(825) m, and 3.33839(47) m, respectively. Compared with the measurements before moving the lens to improve the mode-matching ratio (klog:37260), where the SRC length was 66.61409(70) m, the Schnupp asymmetry calculated from the SRC was 3.34023(139) m, and the Schnupp asymmetry from the weighted average was 3.33791(45) m, the SRC length and the Schnupp asymmetry calculated from the SRC are somewhat different. However, the Schnupp asymmetry obtained from the weighted average is consistent with the previous result.
I offloaded the BF GAS with the FR.
I offloaded the F0 GAS with the FR.
The fitting results for PRX and PRY in klog:37458 are shown below.
The measurement data are saved in the following Dropbox folders:
All files/Dropbox KAGRA/Measurements/IFO/PRCL/PRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_04_PRX
All files/Dropbox KAGRA/Measurements/IFO/PRCL/PRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_04_PRY
PRX
Fig. 1: Around 1.6 GHz, without a linear background. Using the data from 1591.51 MHz to 1592.0 MHz, the fitted peak frequency was 1591.7750(12) MHz.
Fig. 2: Around 1.6 GHz, with a linear background. Using the data from 1591.51 MHz to 1592.0 MHz, the fitted peak frequency was 1591.8014(56) MHz.
Fig. 3: Around 800 MHz, without a linear background. Using the data from 807.62 MHz to 808.15 MHz, the fitted peak frequency was 807.8942(17) MHz.
Fig. 4: Around 800 MHz, with a linear background. Using the data from 807.62 MHz to 808.15 MHz, the fitted peak frequency was 807.8842(49) MHz.
Fig. 5: Around -800 MHz, without a linear background. Using the data from 821.12 MHz to 821.59 MHz, the fitted peak frequency was 821.3504(11) MHz.
Fig. 6: Around -800 MHz, with a linear background. Using the data from 821.12 MHz to 821.59 MHz, the fitted peak frequency was 821.3352(35) MHz.
Fig. 7: Around -1.6 GHz, without a linear background. Using the data from 1563.29 MHz to 1563.82 MHz, the fitted peak frequency was 1563.5494(14) MHz.
Fig. 8: Around -1.6 GHz, with a linear background. Using the data from 1563.29 MHz to 1563.82 MHz, the fitted peak frequency was 1563.5525(32) MHz.
PRY
Fig. 9: Around 1.6 GHz, without a linear background. Using the data from 1599.85 MHz to 1600.57 MHz, the fitted peak frequency was 1600.1828(18) MHz.
Fig. 10: Around 1.6 GHz, with a linear background. Using the data from 1599.85 MHz to 1600.57 MHz, the fitted peak frequency was 1600.1637(33) MHz.
Fig. 11: Around 800 MHz, without a linear background. Using the data from 810.32 MHz to 810.95 MHz, the fitted peak frequency was 810.6120(14) MHz.
Fig. 12: Around 800 MHz, with a linear background. Using the data from 810.32 MHz to 810.95 MHz, the fitted peak frequency was 810.5939(29) MHz.
Fig. 13: Around -800 MHz, without a linear background. Using the data from 816.67 MHz to 817.23 MHz, the fitted peak frequency was 816.9934(28) MHz.
Fig. 14: Around -800 MHz, with a linear background. Using the data from 816.67 MHz to 817.23 MHz, the fitted peak frequency was 817.0274(72) MHz.
Fig. 15: Around -1.6 GHz, without a linear background. Using the data from 1596.96 MHz to 1597.66 MHz, the fitted peak frequency was 1597.3557(27) MHz.
Fig. 16: Around -1.6 GHz, with a linear background. Using the data from 1596.96 MHz to 1597.66 MHz, the fitted peak frequency was 1597.4093(82) MHz.
[Fujimoto, Ye, Saito]
We adjusted the HWP and polarizer to obtain clean peaks and acquired beat signal data for PRX and PRY. After fitting the data, the deviations from the design values were 0.926(22) cm for PRX and 0.043(52) cm for PRY. Compared with the previous measurements before moving the lens to improve the mode-matching ratio (klog:37260), which gave deviations of 0.677(11) cm for PRX and -0.107(46) cm for PRY, both results are slightly different.
We also calculated the PRC length and the Schnupp asymmetry from the PRC. Using the Schnupp asymmetry calculated from the SRC in klog:37455, we then calculated the Schnupp asymmetry by taking a weighted average of the two values. The results were as follows:
PRC length: 66.59625(28) m
Schnupp asymmetry calculated from the PRC: 3.338630(565) m
Schnupp asymmetry from the weighted average:
3.33884(48) m when SRY was measured with the HWP scale at 14 and the polarizer scale at 295
3.33839(47) m when SRY was measured with the HWP scale at 59 and the polarizer scale at 250
Compared with the previous measurements before moving the lens to improve the mode-matching ratio (klog:37260), which gave a PRC length of 66.59425(24) m, a Schnupp asymmetry calculated from the PRC of 3.337640(473) m, and a Schnupp asymmetry from the weighted average of 3.33791(45) m, the PRC length is slightly different. However, there is no inconsistency between the Schnupp asymmetry calculated from the PRC and that calculated from the weighted average.
We then fitted the obtained PRX and PRY data with and without a linear background. I will post the fitting results for the individual peaks later. From the peak frequencies obtained from the fits and their uncertainties, we calculated the minimum and maximum values within the uncertainty ranges. We then took the overall minimum and maximum values from both fitting models, with and without a linear background, as the uncertainty range. The following data were therefore used to determine the PRX and PRY lengths.
PRX
Minimum (MHz) Maximum (MHz)
1591.7738 1591.8070
807.8792 807.8958
-821.3516 -821.3318
-1563.5557 -1563.5479
PRY
Minimum (MHz) Maximum (MHz)
1600.1604 1600.1846
810.5910 810.6133
-817.0346 -816.9907
-1597.4175 -1597.3530
We set the FSR index of the data around -1.6 GHz to 0. For each pair of nearby peak frequencies, we calculated the frequency difference and divided it by the design value of the FSR. We then rounded the resulting value to the nearest integer to determine the FSR index. We fitted the measured peak frequencies as a function of the FSR index using the linear function AN+B, where A and B are fitting parameters and N is the FSR index.
The fitting results were as follows.
PRX (Fig. 1)
A: 2.1957810(72) MHz
B: -1563.5483(38) MHz
PRY (Fig. 2)
A: 2.308691(19) MHz
B: -1597.363(21) MHz
Since A corresponds to the FSR, we calculated the PRX and PRY lengths from the fitted values of A. The results were as follows.
PRX
Fitted length: 68.26556(22) m
Design value: 68.2563 m
Difference from the design value (fitted length − design value): 0.926(22) cm
PRY
Fitted length: 64.92693(52) m
Design value: 64.9265 m
Difference from the design value (fitted length − design value): 0.043(52) cm
Compared with the previous measurements before moving the lens to improve the mode-matching ratio (klog:37260), which gave deviations of 0.677(11) cm for PRX and -0.107(46) cm for PRY, both results are slightly different.
We also calculated the PRC length and the Schnupp asymmetry from the PRC. Using the Schnupp asymmetry calculated from the SRC in klog:37455, we calculated the Schnupp asymmetry from the weighted average as follows.
PRC
Calculated value: 66.59625(28) m
Design value: 66.5914 m
Difference from the design value (calculated value − design value): 0.485(28) cm
Schnupp asymmetry calculated from the PRC
Calculated value: 3.338630(565) m
Design value: 3.3298 m
Difference from the design value (calculated value − design value): 0.8830(565) cm
Schnupp asymmetry
When SRY was measured with the HWP scale at 14 and the polarizer scale at 295:
Weighted average: 3.33884(48) m
Design value: 3.3298 m
Difference from the design value (weighted average − design value): 0.904(48) cm
When SRY was measured with the HWP scale at 59 and the polarizer scale at 250:
Weighted average: 3.33839(47) m
Design value: 3.3298 m
Difference from the design value (weighted average − design value): 0.859(47) cm
Compared with the previous measurements before moving the lens to improve the mode-matching ratio (klog:37260), which gave a PRC length of 66.59425(24) m, a Schnupp asymmetry calculated from the PRC of 3.337640(473) m, and a Schnupp asymmetry from the weighted average of 3.33791(45) m, the PRC length is slightly different. However, there is no inconsistency between the Schnupp asymmetry calculated from the PRC and that calculated from the weighted average.
The fitting results for the SRY measurements in klog:37455, with the HWP scale at 14 and the polarizer scale at 295, and with the HWP scale at 59 and the polarizer scale at 250, are shown below.
The measurement data are saved in the following Dropbox folders:
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_01_SRY_hwp14_pol295
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_01_SRY_hwp59_pol250
HWP scale: 14, Polarizer scale: 295
Fig. 1: Around 1.6 GHz, without a linear background. Using the data from 1611.21 MHz to 1612.42 MHz, the fitted peak frequency was 1611.809(10) MHz.
Fig. 2: Around 1.6 GHz, with a linear background. Using the data from 1611.21 MHz to 1612.42 MHz, the fitted peak frequency was 1611.766(45) MHz.
Fig. 3: Around 800 MHz, without a linear background. Using the data from 810.37 MHz to 811.56 MHz, the fitted peak frequency was 810.962(11) MHz.
Fig. 4: Around 800 MHz, with a linear background. Using the data from 810.37 MHz to 811.56 MHz, the fitted peak frequency was 810.993(45) MHz.
Fig. 5: Around -800 MHz, without a linear background. Using the data from 845.47648 MHz to 846.683146 MHz, the fitted peak frequency was 846.1233(96) MHz.
Fig. 6: Around -800 MHz, with a linear background. Using the data from 845.47648 MHz to 846.683146 MHz, the fitted peak frequency was 846.033(45) MHz.
Fig. 7: Around -1.6 GHz, without a linear background. Using the data from 1655.6 MHz to 1656.77 MHz, the fitted peak frequency was 1656.233(13) MHz.
Fig. 8: Around -1.6 GHz, with a linear background. Using the data from 1656.6 MHz to 1656.77 MHz, the fitted peak frequency was 1656.2322(79) MHz.
HWP scale: 59, Polarizer scale: 250
Fig. 9: Around 1.6 GHz, without a linear background. Using the data from 1599.24 MHz to 1600.04 MHz, the fitted peak frequency was 1599.5509(77) MHz.
Fig. 10: Around 1.6 GHz, with a linear background. Using the data from 1599.24 MHz to 1600.04 MHz, the fitted peak frequency was 1599.507(11) MHz.
Fig. 11: Around 800 MHz, without a linear background. Using the data from 789.2 MHz to 789.96 MHz, the fitted peak frequency was 789.4894(61) MHz.
Fig. 12: Around 800 MHz, with a linear background. Using the data from 789.2 MHz to 789.96 MHz, the fitted peak frequency was 789.449(11) MHz.
Fig. 13: Around -800 MHz, without a linear background. Using the data from 814.0 MHz to 814.82 MHz, the fitted peak frequency was 814.4756(78) MHz.
Fig. 14: Around -800 MHz, with a linear background. Using the data from 814.0 MHz to 814.82 MHz, the fitted peak frequency was 814.541(15) MHz.
Fig. 15: Around -1.6 GHz, without a linear background. Using the data from 1582.56 MHz to 1583.35 MHz, the fitted peak frequency was 1583.0282(66) MHz.
Fig. 16: Around -1.6 GHz, with a linear background. Using the data from 1582.56 MHz to 1583.35 MHz, the fitted peak frequency was 1583.0585(99) MHz.
We analyzed the SRY data obtained in klog:37440. The deviation from the design value was 2.168(80) cm when the HWP scale was 14 and the polarizer scale was 295, and 2.319(71) cm when the HWP scale was 59 and the polarizer scale was 250. Compared with the previous measurement (klog:37393), which gave a deviation of 2.385(42) cm from the SRY design value, the result with the HWP scale at 59 is consistent, while the result with the HWP scale at 14 appears to be slightly different. Both results differ more significantly from the result before moving the lens to improve the mode-matching ratio (klog:37250), which gave a deviation of 1.757(50) cm from the design value.
Using the SRX result from klog:37450, we also calculated the SRC length and the Schnupp asymmetry. The SRC lengths were 66.61778(45) m for the HWP scale of 14 and polarizer scale of 295, and 66.61853(41) m for the HWP scale of 59 and polarizer scale of 250. The Schnupp asymmetries calculated from the SRC lengths were 3.339390(904) m and 3.337880(825) m, respectively. Compared with the previous measurement (klog:37393), which gave an SRC length of 66.61828(92) m and a Schnupp asymmetry calculated from the SRC of 3.33605(185) m, both SRC lengths are consistent, while the Schnupp asymmetry with the HWP scale at 14 appears to be slightly different. Compared with the results before moving the lens to improve the mode-matching ratio (klog:37260), which gave an SRC length of 66.61409(70) m and a Schnupp asymmetry calculated from the SRC of 3.34023(139) m, both SRC lengths are slightly different, while the Schnupp asymmetry with the HWP scale at 59 appears to be slightly different.
We fitted the SRY data obtained in klog:37440 with and without a linear background. I will post the fitting results for the individual peaks later. From the peak frequencies obtained from the fits and their uncertainties, we calculated the minimum and maximum values within the uncertainty ranges. We then took the overall minimum and maximum values from both fitting models, with and without a linear background, as the uncertainty range. The following data were therefore used to determine the SRY length.
HWP scale: 14, Polarizer scale: 295
Minimum (MHz) Maximum (MHz)
1611.7206 1611.8190
810.9479 811.0371
-846.1329 -845.9886
-1656.2458 -1656.2199
HWP scale: 59, Polarizer scale: 250
Minimum (MHz) Maximum (MHz)
1599.4960 1599.5586
789.4376 789.4956
-814.5555 -814.4679
-1583.0683 -1583.0217
We set the FSR index of the data around -1.6 GHz to 0. For each pair of nearby peak frequencies, we calculated the frequency difference and divided it by the design value of the FSR. We then rounded the resulting value to the nearest integer to determine the FSR index. We fitted the measured peak frequencies as a function of the FSR index using the linear function AN+B, where A and B are fitting parameters and N is the FSR index.
The fitting results were as follows.
HWP scale: 14, Polarizer scale: 295 (Fig. 1)
A: 2.307939(29) MHz
B: -1656.230(13) MHz
HWP scale: 59, Polarizer scale: 250 (Fig. 2)
A: 2.307886(26) MHz
B: -1583.043(22) MHz
Since A corresponds to the FSR, we calculated the SRY length from the fitted value of A. The results were as follows.
HWP scale: 14, Polarizer scale: 295
Fitted length: 64.94808(80) m
Design value: 64.9264 m
Difference from the design value (fitted length − design value): 2.168(80) cm
HWP scale: 59, Polarizer scale: 250
Fitted length: 64.94959(71) m
Design value: 64.9264 m
Difference from the design value (fitted length − design value): 2.319(71) cm
Compared with the previous measurement (klog:37393), which gave a deviation of 2.385(42) cm from the SRY design value, the result with the HWP scale at 59 is consistent, while the result with the HWP scale at 14 appears to be slightly different. Both results differ more significantly from the result before moving the lens to improve the mode-matching ratio (klog:37250), which gave a deviation of 1.757(50) cm from the design value.
Using the SRX result from klog:37450, we calculated the SRC length and the Schnupp asymmetry as follows.
HWP scale: 14, Polarizer scale: 295
SRC
Calculated value: 66.61778(45) m
Design value: 66.5913 m
Difference from the design value (calculated value − design value): 2.648(45) cm
Schnupp asymmetry calculated from the SRC
Calculated value: 3.339390(904) m
Design value: 3.3298 m
Difference from the design value (calculated value − design value): 0.9590(904) cm
HWP scale: 59, Polarizer scale: 250
SRC
Calculated value: 66.61853(41) m
Design value: 66.5913 m
Difference from the design value (calculated value − design value): 2.723(41) cm
Schnupp asymmetry calculated from the SRC
Calculated value: 3.337880(825) m
Design value: 3.3298 m
Difference from the design value (calculated value − design value): 0.8080(825) cm
Compared with the previous measurement (klog:37393), which gave an SRC length of 66.61828(92) m and a Schnupp asymmetry calculated from the SRC of 3.33605(185) m, both SRC lengths are consistent, while the Schnupp asymmetry with the HWP scale at 14 appears to be slightly different. Compared with the results before moving the lens to improve the mode-matching ratio (klog:37260), which gave an SRC length of 66.61409(70) m and a Schnupp asymmetry calculated from the SRC of 3.34023(139) m, both SRC lengths are slightly different, while the Schnupp asymmetry with the HWP scale at 59 appears to be slightly different.
The fitting results for the individual peaks after changing and then restoring the SRX length in klog:37450 are shown below.
The measurement data are saved in the following Dropbox folders:
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_03_SRX_moved
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_03_SRX_restored
After changing the SRX length
Fig. 1: Around 1.6 GHz, without a linear background. Using the data from 1630.48 MHz to 1631.57 MHz, the fitted peak frequency was 1630.9316(29) MHz.
Fig. 2: Around 1.6 GHz, with a linear background. Using the data from 1630.48 MHz to 1631.57 MHz, the fitted peak frequency was 1630.9322(38) MHz.
Fig. 3: Around 800 MHz, without a linear background. Using the data from 789.76 MHz to 790.84 MHz, the fitted peak frequency was 790.2061(23) MHz.
Fig. 4: Around 800 MHz, with a linear background. Using the data from 789.76 MHz to 790.84 MHz, the fitted peak frequency was 790.2147(25) MHz.
Fig. 5: Around -800 MHz, without a linear background. Using the data from 798.46 MHz to 799.51 MHz, the fitted peak frequency was 799.0342(30) MHz.
Fig. 6: Around -800 MHz, with a linear background. Using the data from 798.46 MHz to 799.51 MHz, the fitted peak frequency was 799.0380(41) MHz.
Fig. 7: Around -1.6 GHz, without a linear background. Using the data from 1588.38 MHz to 1589.78 MHz, the fitted peak frequency was 1589.2838(23) MHz.
Fig. 8: Around -1.6 GHz, with a linear background. Using the data from 1588.38 MHz to 1589.78 MHz, the fitted peak frequency was 1589.2831(38) MHz.
After restoring the SRX length
Fig. 9: Around 1.6 GHz, without a linear background. Using the data from 1608.77 MHz to 1609.66 MHz, the fitted peak frequency was 1609.0959(28) MHz.
Fig. 10: Around 1.6 GHz, with a linear background. Using the data from 1608.77 MHz to 1609.66 MHz, the fitted peak frequency was 1609.0650(63) MHz.
Fig. 11: Around 800 MHz, without a linear background. Using the data from 796.61 MHz to 797.44 MHz, the fitted peak frequency was 796.9280(26) MHz.
Fig. 12: Around 800 MHz, with a linear background. Using the data from 796.61 MHz to 797.44 MHz, the fitted peak frequency was 796.898(10) MHz.
Fig. 13: Around -800 MHz, without a linear background. Using the data from 835.71 MHz to 836.57 MHz, the fitted peak frequency was 836.2367(26) MHz.
Fig. 14: Around -800 MHz, with a linear background. Using the data from 835.71 MHz to 836.57 MHz, the fitted peak frequency was 836.2598(71) MHz.
Fig. 15: Around -1.6 GHz, without a linear background. Using the data from 1577.79 MHz to 1578.53 MHz, the fitted peak frequency was 1578.1716(42) MHz.
Fig. 16: Around -1.6 GHz, with a linear background. Using the data from 1577.79 MHz to 1578.53 MHz, the fitted peak frequency was 1578.168(10) MHz.
[Fujimoto, Ye, Saito]
After Takahashi-san and Ushiba-san changed the length of SRX (klog:37449), and again after they restored the length, we acquired beat signal data around 1.6, 0.8, -0.8, and -1.6 GHz. We then calculated the SRX length. The deviations from the design value were 3.050(11) cm after the length was changed and 3.127(42) cm after the length was restored. Comparing the result after restoring the length with the previous measurement (klog:37393), which gave a deviation of 3.01(18) cm from the design value, we consider the results to be consistent. However, the result differs slightly from the result before moving the lens to improve the mode-matching ratio (klog:37260), which gave a deviation of 2.80(13) cm. According to klog:37449, the SRX length decreased by 1 mm after the length was changed. The two measurements also show that the SRX length decreased by approximately 1 mm after the length was changed. Therefore, we confirmed that this measurement method can detect changes in the cavity length.
We fitted the data around each peak with and without a linear background. I will post the fitting results for these peaks later. From the peak frequencies obtained from the fits and their uncertainties, we calculated the minimum and maximum values within the uncertainty ranges. We then took the overall minimum and maximum values from both fitting models, with and without a linear background, as the uncertainty range. The following data were therefore used to determine the SRX length.
After changing the length
Minimum (MHz) Maximum (MHz)
1630.9283 1630.9360
790.2038 790.2172
-799.0422 -799.0312
-1589.2869 -1589.2793
After restoring the length
Minimum (MHz) Maximum (MHz)
1609.0587 1609.0987
796.8883 796.9306
-836.2669 -836.2342
-1578.1785 -1578.1583
We set the FSR index of the data around -1.6 GHz to 0. For each pair of adjacent peak frequencies, we calculated the frequency difference and divided it by the design value of the FSR. We then rounded the resulting value to the nearest integer to determine the FSR index. We fitted the measured peak frequencies as a function of the FSR index using the following linear function AN+B where A and B are fitting parameters and N is the FSR index.
The fitting results were as follows.
After changing the length (Fig. 1)
A: 2.1951014(35) MHz
B: -1589.2804(34) MHz
After restoring the length (Fig. 2)
A: 2.195077(14) MHz
B: -1578.1721(92) MHz
Since A corresponds to the FSR, we calculated the SRX length from the fitted value of A. The results were as follows.
After changing the length
Fitted length: 68.28670(11) m
Design value: 68.2562 m
Difference from the design value (fitted length − design value): 3.050(11) cm
After restoring the length
Fitted length: 68.28747(42) m
Design value: 68.2562 m
Difference from the design value (fitted length − design value): 3.127(42) cm
Comparing the result after restoring the length with the previous measurement (klog:37393), which gave a deviation of 3.01(18) cm from the design value, we consider the results to be consistent. However, the result differs slightly from the result before moving the lens to improve the mode-matching ratio (klog:37260), which gave a deviation of 2.80(13) cm.
According to klog:37449, the SRX length decreased by 1 mm after the length was changed. The two measurements also show that the SRX length decreased by approximately 1 mm after the length was changed. Therefore, we confirmed that this measurement method can detect changes in the cavity length.
The fitting results for the individual peaks after changing and then restoring the SRX length in klog:37450 are shown below.
The measurement data are saved in the following Dropbox folders:
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_03_SRX_moved
All files/Dropbox KAGRA/Measurements/IFO/SRCL/SRCL_OMMT2_REFL_beat_signal_PZT_sweep/2026_09_03_SRX_restored
After changing the SRX length
Fig. 1: Around 1.6 GHz, without a linear background. Using the data from 1630.48 MHz to 1631.57 MHz, the fitted peak frequency was 1630.9316(29) MHz.
Fig. 2: Around 1.6 GHz, with a linear background. Using the data from 1630.48 MHz to 1631.57 MHz, the fitted peak frequency was 1630.9322(38) MHz.
Fig. 3: Around 800 MHz, without a linear background. Using the data from 789.76 MHz to 790.84 MHz, the fitted peak frequency was 790.2061(23) MHz.
Fig. 4: Around 800 MHz, with a linear background. Using the data from 789.76 MHz to 790.84 MHz, the fitted peak frequency was 790.2147(25) MHz.
Fig. 5: Around -800 MHz, without a linear background. Using the data from 798.46 MHz to 799.51 MHz, the fitted peak frequency was 799.0342(30) MHz.
Fig. 6: Around -800 MHz, with a linear background. Using the data from 798.46 MHz to 799.51 MHz, the fitted peak frequency was 799.0380(41) MHz.
Fig. 7: Around -1.6 GHz, without a linear background. Using the data from 1588.38 MHz to 1589.78 MHz, the fitted peak frequency was 1589.2838(23) MHz.
Fig. 8: Around -1.6 GHz, with a linear background. Using the data from 1588.38 MHz to 1589.78 MHz, the fitted peak frequency was 1589.2831(38) MHz.
After restoring the SRX length
Fig. 9: Around 1.6 GHz, without a linear background. Using the data from 1608.77 MHz to 1609.66 MHz, the fitted peak frequency was 1609.0959(28) MHz.
Fig. 10: Around 1.6 GHz, with a linear background. Using the data from 1608.77 MHz to 1609.66 MHz, the fitted peak frequency was 1609.0650(63) MHz.
Fig. 11: Around 800 MHz, without a linear background. Using the data from 796.61 MHz to 797.44 MHz, the fitted peak frequency was 796.9280(26) MHz.
Fig. 12: Around 800 MHz, with a linear background. Using the data from 796.61 MHz to 797.44 MHz, the fitted peak frequency was 796.898(10) MHz.
Fig. 13: Around -800 MHz, without a linear background. Using the data from 835.71 MHz to 836.57 MHz, the fitted peak frequency was 836.2367(26) MHz.
Fig. 14: Around -800 MHz, with a linear background. Using the data from 835.71 MHz to 836.57 MHz, the fitted peak frequency was 836.2598(71) MHz.
Fig. 15: Around -1.6 GHz, without a linear background. Using the data from 1577.79 MHz to 1578.53 MHz, the fitted peak frequency was 1578.1716(42) MHz.
Fig. 16: Around -1.6 GHz, with a linear background. Using the data from 1577.79 MHz to 1578.53 MHz, the fitted peak frequency was 1578.168(10) MHz.
[Ushiba, Takahashi]
We moved three SR mirrors to change SRCL. Each setpoint for the IP L LVDT was changed by +200 [um]. SRCL was decreased by 1mm in Total. Moving order was SR3, SRM, and SR2. After changing the setpoints, GRY was locked and aligned. The setpoints for the Oplev yaw were changed from 37 to 31 for SR3 and from -49 to -45 for SR2. Changed values are summarized below. Oplev L was different from IP L by a factor of 2. After the length measurements, all setpoints were recovered.
| IP L setpoint [um] | IP L OUT [cnt] | OL L [um] | OL P [urad] | OL Y [urad] | |
| SR3 | 0:200 | -3000:3000 | +210 (-90:120) | -2 (17:15) | -6 (37:31) |
| SRM | -550:-350 | -6200:-2500 | +190 (-60:150) | +5 (32:37) | -32 (68:36) |
| SR2 | -100:100 | 6900:9900 | +105 (-245:-150) | +26 (18:44) | +4 (-49:-45) |
Note that: OMMT1 equips LIGO-OSEMs, and the OSEMs are using LEDs, whose wavelength is nearly infrared (but not 1um), and the IR camera (without proper filtering) senses the infrared light clearly. Very brighter than stars which the IR camera can detect.
To distinguish the light source, it might be helpful to turn off the OSEM LEDs, if possible.