ID 
Date 
Author 
Type 
Category 
Subject 
17504

Mon Mar 13 14:48:37 2023 
Anchal  Update  IMC  Diagonalizing YAW output matrix using a different method 
I tried a different method today to see if it works. Following are the steps:
 Run WFS relief.
 Turn off the WFS loops.
 Calculate the effective current YAW matrix by transferring C1:IOOMC#_YAW_GAIN to respective rows of the matrix read from C1:IOOOUTMATRIX_Y. No need to change the matrix itself.
 This step should not be required. We should move these gains to the matrices as soon as we can.
 Put in the first column (corresponds to WFS1_YAW controller output) of this effective current YAW matrix to C1:IOOLKIN_OUT_MTRX_4_1, C1:IOOLKIN_OUT_MTRX_5_1, C1:IOOLKIN_OUT_MTRX_6_1.
 This is the output matrix of LOCKIN in WFS screens.
 We are trying to actuate on what we think only affects WFS1_YAW and see if it is crosscoupled to WFS2_YAW or MC2_TRANS.
 Then we can cancel coupling to the other two sensors by changing our couple vector.
 Turn on locking at 0.5 Hz with gain 1.
 Turn on BLP0.3 filter module. This is a 8th order 0.3 Hz butterworth filter.
 Adjust phases to get all signal in the I quadratures.
 Using ratio of C1:IOOWFS_LKIN_I5_OUT16 to C1:IOOWFS_LKIN_I4_OUTPUT, subtract or add this much factor of the WFS2_YAW column (the second column) of the effective YAW matrix to the column that is put in the LOCKIN output matrix.
 I was able to subtract to less than 10% cross coupling with the intial matrix I started with.
 Repeat until no crosscoupling is seen between WFS1_YAW and WFS2_YAW.
 Repeat the above steps for WFS2_YAW column by putting that into the LOCKIN output matrix. Use the column calculated in last step for adding or subtracting WFS1 actuation.
 I was able to make WFS2 column very clean with less than 1% measurable crosscoupling to other sensors.
 I repeated the step for WFS1 column again to remove the cross coupling to WFS2 further to less than 1%.
 For doing the above steps for MC2_TRANS column, the initial effective matrix column was very bad. The outputs were higher in WFS1 and WFS2 then MC2_TRANS output itself.
 So I made the first guess by taking a crossproduct between the obtained WFS1_YAW and WFS2_YAW columns estimated earleir.
 Then I repeated the above steps to minimize coupling to WFS1 or WFS2 sensors to less than 10% of MC2_TRANS.
 THe three column vectors obtained represent the new outpute YAW matrix. I removed the normalization that would be applied by C1:IOOMC#_YAW filter gains from the rows of this amtrix to get the output matrix that can be put into C1:IOOOUTMATRIX_Y
Once this matrix was in, I quickly tested it by closing the loop and making gain sign flips if required. Then I took quick swept sine transfer functions to estimate UGFs and scaled the columns of the output matrix to get UGF of 2.5 Hs for WFS1_YAW and WFS2_YAW loops and 0.1 Hz for MC2_TRANS YAW loop when all filter gains are 1 and overall gain C1:IOOWFS_GAIN is 4. See attached plots.
Old matrix:
4.094 , 3.0383 , 34.0917
0.1259 , 0.27008, 16.081
7.1811 , 0.74271, 28.9458
This was used with gains: 0.5 for WFS1_YAW loop, 0.6 for WFS2_YAW loop and 0.3 for MC2_TRANS_YAW loop.
New matrix:
1.48948, 1.3029 , 4.93096
0.05839, 0.15206, 3.66245
2.82285, 0.92391, 4.68009
All loop gains 1.
Alex and Tomohiro are characterizing this matrix with step response and UGF measurements. 
Attachment 1: WFS_YAW_OLTF_Measurements.pdf


17505

Mon Mar 13 15:37:13 2023 
Alex  Update  IMC  Step Response of newly diagonalizing YAW output matrix 
From the work that Anchal has completed for diagnolizing the YAW ouput matrix, a step response was taken of this new matrix using our previous methodolgies and the following results:
The step response can be seen plotted in attachment 1. The off diagonal terms of this new matrix sum to 1.24, which is a large decrease from the current matrix and the matrices that were tested from our previous step responses.
Tomohiro and I are now currently working futher to configure the UGF's for YAW given this new output matrix.
UPDATE:
Tomohiro and I have completed testing the YAW Sensor outputs with broadband noise injection and have confirmed that gains currently set on each filter module (which is 1.0 for WFS1, WFS2, and MC Trans) provides us with adequate UGF's. As seen bellow in attachment 23, WFS1 and WFS2 have UGF's between 2 and 3 Hz. MC Trans can be seen in attachment 4 and has been confirmed to have a UGF around 0.1 Hz.
Finally, attachment 5 displays the off diagnolized sums and uncertainties for each of our previous step response results and the newest result (labeled "new") for Anchal's OUTPUT YAW matrix. The first graph in blue displays the overall sum and uncertainty related to each step response taken. Then in the following 3 plots, the sum's and uncertaintes for each sensor are displayed individually for each step response test.
For reference:
New: corresponds to Anchal's YAW OUPUT MATRIX
D0: refers to the previously implemented matrix, prior to any testint or updates
D1: refers to the matrix that was computed based off of the first test Tomohiro and I performed
D2: refers to the matrix computed as a secondary result from D1. This matrix was thought to provide a lower off diagonal sum, but did not.
This thoroughly displays our results such that the newly computed matrix from Anchal is much more diagnolized then that of the step response matrices Tomohiro and I have computed.

Attachment 1: step_response_YAW_130323.pdf


Attachment 2: WFS1_YAW_OLTF_NI.pdf


Attachment 3: WFS2_YAW_OLTF_NI.pdf


Attachment 4: MC2_YAW_OLTF_NI.pdf


Attachment 5: Mar13_Dfactor.pdf


17506

Mon Mar 13 19:53:36 2023 
yuta  Update  BHD  FPMI BHD sensing matrix measurement with individual lines 
FPMI BHD sensing matrix was measured by an updated method with updated RF demodulation phases for REFL55 and AS55.
Now audio demodulation phase for CARM components is 90 deg to make the sign correct.
Also, oscillators are turned on one by one to reduce contamination between DoFs (especially between MICH and CARM).
These helped a lot in reducing errors.
Sensing matrix with FPMI locked in RF, LO_PHASE locked with BH55_Q using LO1
Sensing matrix with the following demodulation phases (counts/m)
{'AS55': 177.9, 'REFL55': 77.06, 'BH55': 110.0, 'BH44': 8.9}
Sensors DARM @307.88 Hz CARM @309.21 Hz MICH @311.1 Hz LO1 @315.17 Hz
AS55_I (+3.25+/0.67)e+11 [90] (8.63+/0.41)e+11 [90] (1.02+/1.49)e+09 [0] (+0.44+/1.39)e+07 [0]
AS55_Q (6.04+/0.05)e+11 [90] (+0.92+/3.10)e+10 [90] (+9.10+/6.78)e+08 [0] (+0.12+/2.08)e+07 [0]
REFL55_I (+1.18+/0.03)e+11 [90] (+2.78+/0.12)e+12 [90] (0.35+/2.34)e+09 [0] (0.94+/2.38)e+07 [0]
REFL55_Q (+5.85+/0.43)e+09 [90] (2.34+/0.13)e+10 [90] (+2.39+/0.38)e+08 [0] (+3.56+/7.44)e+06 [0]
BH55_I (3.51+/3.45)e+10 [90] (6.65+/0.82)e+10 [90] (4.91+/3.03)e+08 [0] (1.82+/0.09)e+09 [0]
BH55_Q (+7.86+/0.29)e+11 [90] (+2.99+/0.42)e+11 [90] (2.87+/7.76)e+08 [0] (+2.81+/0.15)e+09 [0]
BH44_I (0.34+/1.99)e+12 [90] (+0.02+/1.49)e+12 [90] (0.42+/8.53)e+10 [0] (0.01+/3.08)e+10 [0]
BH44_Q (0.60+/3.95)e+13 [90] (0.01+/3.00)e+13 [90] (+0.00+/1.68)e+12 [0] (0.15+/5.77)e+11 [0]
BHDC_DIFF (9.18+/0.29)e+11 [90] (4.11+/4.66)e+10 [90] (+1.46+/0.10)e+09 [0] (1.70+/0.41)e+08 [0]
BHDC_SUM (+2.97+/0.21)e+11 [90] (+0.44+/1.57)e+10 [90] (1.01+/0.06)e+09 [0] (+2.68+/0.84)e+07 [0]
 AS55_Q now has 70% more gain to DARM for some reason (see 40m/17478). Whitening gain haven't changed from 24 dB.
 There's still some room to tune AS55 RF demodulation phase to maximize DARM response.
 CARM to REFL55_Q is 100 times smaller than that to REFL55_I; this is good.
 There's still some room to tune BH55 RF demodulation phase to maximize LO1 response.
 BH44 doesn't have much response to LO1, probably because LO_PHASE is locked with orthogonal BH55.
Sensing matrix with FPMI locked in RF, LO_PHASE locked with BH44_Q using LO1
Sensing matrix with the following demodulation phases (counts/m)
{'AS55': 177.9, 'REFL55': 77.06, 'BH55': 110.0, 'BH44': 8.9}
Sensors DARM @307.88 Hz CARM @309.21 Hz MICH @311.1 Hz LO1 @315.17 Hz
AS55_I (+3.94+/0.52)e+11 [90] (1.00+/0.05)e+12 [90] (1.61+/1.17)e+09 [0] (+0.45+/1.52)e+07 [0]
AS55_Q (5.52+/0.24)e+11 [90] (+1.19+/2.99)e+10 [90] (+1.10+/0.43)e+09 [0] (1.06+/2.30)e+07 [0]
REFL55_I (+8.97+/0.49)e+10 [90] (+2.71+/0.11)e+12 [90] (0.38+/2.28)e+09 [0] (0.97+/2.10)e+07 [0]
REFL55_Q (+6.30+/0.65)e+09 [90] (2.01+/0.12)e+10 [90] (+2.26+/0.69)e+08 [0] (2.61+/6.97)e+06 [0]
BH55_I (+4.46+/0.52)e+11 [90] (1.52+/0.27)e+11 [90] (1.82+/0.56)e+09 [0] (+0.68+/1.24)e+08 [0]
BH55_Q (+9.59+/0.44)e+11 [90] (+2.79+/0.52)e+11 [90] (+2.75+/2.49)e+08 [0] (+2.45+/1.06)e+08 [0]
BH44_I (0.40+/2.42)e+12 [90] (0.03+/1.88)e+12 [90] (0.03+/1.13)e+11 [0] (+0.12+/4.18)e+10 [0]
BH44_Q (0.19+/1.09)e+13 [90] (+0.70+/7.91)e+12 [90] (0.09+/4.65)e+11 [0] (+0.11+/1.34)e+11 [0]
BHDC_DIFF (+3.90+/0.46)e+11 [90] (+1.06+/0.18)e+11 [90] (4.62+/1.89)e+08 [0] (+3.60+/0.40)e+08 [0]
BHDC_SUM (+1.96+/0.18)e+11 [90] (1.08+/1.29)e+10 [90] (8.93+/1.41)e+08 [0] (8.67+/0.81)e+07 [0]
 BHDC_DIFF sensitivity to DARM is less than that with LO_PHASE locked with BH55.
 BH44 sensing matrix has too much error. Requires more averaging time and oscillator amplitude.
Jupyter notebook: /opt/rtcds/caltech/c1/Git/40m/scripts/CAL/SensingMatrix/ReadSensMat.ipynb
Next:
 Tune AS55, BH55, BH44 RF demodulation phases
 Try measuring sensing matrix for BH44 with more averaging time, oscillator amplitude, and PD whitening gain
 Repeat measurement in 40m/17351 with BH44 under MICH configuration.
 Compare LO phase noise in MICH configuration when LO_PHASE is locked with BH44 and BH55.
 Make a noise budget in MICH BHD.
 Investigate 28 Hz noise in FPMI
 Tune BS local damping loops 
17508

Tue Mar 14 11:38:44 2023 
Anchal  Update  IMC  Turned on 6:3lead FM7 on WFS1 and WFS2 YAW loops 
I realized that for more phase margin, rana added 6:3lead filter on WFS PIT loops. Since we have increased the UGF on YAW loops too, I turned these on the YAW loops as well. The loops remain stable unlike with the previous matrix. Attachment 1 is the repeat of teh emasurement done by rana earlier but with the new matrix and updated gains in PIT loops. The dark green traces are the references from last measurment with higher gain and HEPA off. The remainging colored traces were measured today. 
Attachment 1: Screenshot_20230314_115734.png


17509

Tue Mar 14 13:59:11 2023 
Anchal  Update  IMC  IMC WFS aligned and offsets reset 
The WFS loops were not maximizing the IMC transmission. The transmission counts remained stuck at around 12500 counts. The reflection DCMON from IMC had reached above 0.35 while nominally it had been around 0.2. So today, I manuaaly aligned the IMC to best transmission and lowest reflection, then unlocked IMC and reset the offsets on WFS1 and WFS2 RF readouts. After the offsets were changed, the error singals were fluctuating around 0 in best algined state. Then turning on the WFS loops made the transmissions slighlty higher to 13250 counts. 
17510

Tue Mar 14 15:46:06 2023 
Tomohiro  Update  IMC  Diagonalizing YAW output matrix using a different method 
Alex, Anchal, and I adjusted the number of the MC2TRANS column in the YAW output matrix. We used the same method in 40m/17504 but the amplitude of oscillator for Lock In Amplifier is increased from 1 to 4.
The corrected numbers of the column in the output matrix is as follows:

MC2_TRANS 
MC1 
5.5196 
MC2 
2.8778 
MC3 
5.2232 
We did the step response test for the corrected output matrix. The sum of offdiagonal terms was 0.62, which is the minimum value. Attachment 1 is the step response test result. From the figure, the reduction of the sum is because the column MC2_TRANS can diagonalize better. We can find out the property from Attachment 2. 
Attachment 1: step_response_YAW_140323.pdf


Attachment 2: Mar14_Dfactor.pdf


17511

Tue Mar 14 18:44:39 2023 
yuta  Update  BHD  LO phase noise measurements in ITMX single bounce, MICH and FPMI 
[Anchal, Yuta]
We have measured LO phase noise in ITMX single bounce, simple MICH and FPMI configurations with LO phase locked with BH55 or BH44.
We found that BH55 and BH44 have almost exactly same noise in ITMX single bounce, but BH44 is noisier than BH55 in MICH and FPMI configurations.
In any case, LO phase can be locked within 0.1 rad RMS, so optical gain fluctuations in BHD_DIFF should be fine for BHD locking.
Method:
 We have locked ITMX single bounce vs LO, AS beam under MICH locked with AS55_Q vs LO, and AS beam under FPMI locked with REFL55 & AS55 vs LO, using BH55_Q or BH44_Q
 In each IFO configuration, we have minimized I phase to set RF demodulation phases for BH55 and BH44.
 In each IFO configuration, optical gain of BH55_Q and BH44_Q was measured by elliptic fit of XY plot for BH55_Q vs BHDC_A or BH44_Q vs BH55_Q.
 For each LO_PHASE lock, feedback gain was adjusted to set the UGF to around 50 Hz, and actuator used was LO1.
 LO_PHASE_IN1 was calibrated using the measured optical gain, and LO_PHASE_OUT was calibrated using LO1 actuator gain of 26.34e9 /f^2 m/counts measured in 40m/17285.
 To convert meters in radians, 2*pi/lambda is used (which means dark fringe to dark fringe is pi).
 Below summarizes the result of RF demodulation phases and optical gains (whitening gains were 45 dB for BH55 and 39 dB for BH44). RF demod phases aligns well with previous measurement, but optical gain for BH44 seems higher by an order of magnitude compared with 40m/17478 (whitening gain changed??). Optical gain for BH55_Q is consistent with previous measurement in 40m/17506 (note the demodulation phase change).
LO_PHASE lock in ITMX single bounce
Demod phase Optical gain filter gain
BH55_Q 99.8 deg 7.6e9 counts/m 0.3
BH44_Q 6.5 deg 1.3e10 counts/m 0.15
LO_PHASE lock in MICH
Demod phase Optical gain filter gain
BH55_Q 67.7 deg 6.1e8 counts/m 3.9
BH44_Q 31.9 deg 8.5e8 counts/m 3.1
LO_PHASE lock in FPMI
Demod phase Optical gain filter gain
BH55_Q 35.7 deg 3.4e9 counts/m 0.65
BH44_Q 9.3 deg 4.3e10 counts/m 0.84
Result:
 Attached are calibrated LO phase noise spectrum in different IFO configurations.
 In ITMX single bounce, LO phase noise estimated using BH55 and BH44 are almost equivalent, and LO phase noise inloop is ~0.04 rad RMS.
 In MICH, LO phase noise estimated using BH44 is noisier than BH44 at around 2060 Hz for some reason. LO phase noise inloop is ~0.04 rad RMS for both cases.
 In FPMI, LO phase noise estimated using BH44 is noisier than BH44 above ~20 Hz for some reason. LO phase noise inloop is ~0.03 rad RMS for both cases. Dark noise is not limiting the measurement at least below 1 kHz.
Jupyter notebook: /opt/rtcds/caltech/c1/Git/40m/measurements/BHD/BH55_BH44_Comparison.ipynb
Next:
 Lock MICH BHD with BH55 and BH44, and compare LO phase noise contributions to MICH sensitivity
 Investigate why BH44 is noisier than BH55 in MICH and FPMI (offsets? contrast defect? modematching?)
 Reduce 60 Hz + harmonics in BH55 and BH44 
Attachment 1: BH555_BH44_LO_PHase_Control_Comparison.pdf


17512

Thu Mar 16 13:31:25 2023 
Tomohiro  Update  IMC  Diagonalizing YAW output matrix using a different method 
Purpose
 To adjust the components of the WFS2 column in the YAW output matrix.
 To check the value of the offdiagonal components of the WFS1 column.
Method
Alex, Anchal, and I used the same method in 40m/17504 to adjust the components of the WFS2 column. And we did the same step response test to check the value of the offdiagonal components in the YAW output matrix.
Used script & file
All the scripts & files are stored in /opt/rtcds/caltech/c1/Git/40m/scripts/MC/WFS/ directory.
 DiagnoalizatingMethod.ipynb: for adjusting the components and replacing the new output matrix,
 toggleWFSoffsets.py: for doing the step response test,
 IOO_WFS_YAW_STEP_RESPONSE_TEST.py: for analyzing the step response result.
Result
We changed the WFS2 column as follows

From 
To 
MC1 
1.3029 
1.8548 
MC2 
0.15206 
0.1357 
MC3 
0.92391 
0.40158 
We can successfully diagonalize the WFS2 column. The sum of the offdiagonal components is slightly reduced. However, WFS1 has worse diagonalization.
The same step response test should be performed on a different day to see if the results change. It is because the multiple causes could exist: the influence of the changed other columns, the long time drift, the day to day change, and so on. 
Attachment 1: step_response_YAW_160323.pdf


Attachment 2: Mar16_Dfactor.pdf


17513

Fri Mar 17 17:27:58 2023 
Alex, Tomohiro  Update  IMC  Arm Cavity Noise injection with WFS1/2 PIT and YAW 
Tomohiro and I performed some tests under Rana's guidance to find cross corelations between WFS1 and WFS2 output signals in both pitch and yaw. We performed this test to further understand the degree to which our output matrices have been diagonolized.
Seen in attachment 1 is our base level with no injected noise source. In each figure, we also have inlcuded the coherence plot which compares each control signal to the overalll YARM power signal.
Attachments 25 display our results for injecting noise into each control signal individually.
We found the following corelations for each respective test:
Control Signal with Noise 
Corelated signals (order) 
WFS1 PIT 
WFS1 YAW, WFS2PIT, WFS2 YAW (all equally corelated) 
WFS1 YAW 
WFS1 PIT, WFS2 YAW, WFS2 PIT (most to least) 
WFS2 PIT 
WFS1 PIT, WFS2 YAW, WFS1 YAW (most to least) 
WFS2 YAW 
WFS2 PIT, WFS1 YAW (all equally corelated) 
We judged our corelated signals by the peaks seen from out noise injection on the power spectrum as well as by their coherence at the same frequencies of our noise (20Hz30Hz) compared to the overall power spectrum of YARM.
Performing this measurement was done using diaggui and awggui. The diaggui files for each test are saved at: "users/Templates/singleArmCal/ArmCavityNoise_230317_2_WFS1_PIT"
To properly fix each of the control signals to the same magnitude plotted for YARM output, we callibrated each plot using the settings seen in Attachment 7. First the units were changed on the plots to represent the true scale of each measurement:
We found that the ETMY actuation strength is 10.843e9 / f^2 (from 17376) and used this to clibrate the plots to the nanometer scale. Next the gain was adjusted such that each plot would align over the YARM output when noise was injected onto it, setting a basis for all four measurements.
Finally, some filtering poles were added to the callibration for each plot such that it resembled that of the filters seen by the YARM ouput signal. (RXA: this is the 28 Hz ELP filter to simulate the dewhitening filters)
The measurements were taken with the settings seen in Attachment 8, and noise injected using the parameters seen in attachment 9.
RXA: Some edits/comments:
The noise was injected as bandlimited random noise with a Normal distribution. We used noise rather than lines so as to capture the linear and bilinear noise contributions. In the case where the coupling is mostly bilinear, we would not expect to see much coherence.
The first attachment is a ASC noise budget for the single arm  in the high gain mode, the noise does not limit the noise as seen by the arm. Next is to see if its due to the MC dewhitening filters being on/off? 
Attachment 1: ArmCavityNoise_230317_2.pdf


Attachment 2: ArmCavityNoise_230317_2_WFS1_PIT.pdf


Attachment 3: ArmCavityNoise_230317_2_WFS2_PIT.pdf


Attachment 4: ArmCavityNoise_230317_2_WFS1_YAW.pdf


Attachment 5: ArmCavityNoise_230317_2_WFS2_YAW.pdf


Attachment 6: Screenshot_20230317_172334.png


Attachment 7: Screenshot_20230317_172447.png


Attachment 8: Screenshot_20230317_172400.png


17514

Mon Mar 20 20:27:30 2023 
yuta  Update  BHD  LO phase noise contribution in MICH BHD 
[Paco, Yuta]
MICH was locked with balanced homodyne readout with LO phase locked using BH55_Q and BH44_Q.
It turned out that BH44_Q gives better LO phase in MICH configuration (in FPMI, BH55_Q is better; see 40m/17506).
LO phase noise seems to contribute to MICH sensitivity in 30200 Hz region in BH55 case, and 30100 Hz in BH44 case (this was not the case in FPMI BHD, see 40m/17392).
The mechanism for this coupling needs investigation.
MICH BHD sensing matrix:
 MICH BHD sensing matrix was measured when MICH is locked with AS55_Q and LO_PHASE is locked with BH55_Q or BH44_Q.
 MICH UGF was at around 50 Hz, and LO_PHASE UGF was at around 10 Hz.
 BHDC_DIFF had better sensitivity to MICH when LO_PHASE was locked with BH44_Q.
 BH44 component was not measured well.
MICH sensing matrix with MICH locked with AS55_Q and LO_PHASE locked with BH55_Q
Sensing matrix with the following demodulation phases (counts/m)
{'AS55': 2.1, 'REFL55': 76.01784975834194, 'BH55': 63.16236453101908, 'BH44': 39.01036239539396}
Sensors MICH @311.1 Hz LO1 @315.17 Hz
AS55_I (+0.40+/6.23)e+07 [0] (0.83+/3.01)e+07 [0]
AS55_Q (+1.38+/0.26)e+09 [0] (+0.76+/6.58)e+07 [0]
BH55_I (3.22+/0.37)e+09 [0] (0.81+/8.42)e+07 [0]
BH55_Q (+4.03+/0.52)e+09 [0] (4.01+/1.05)e+08 [0]
BH44_I (0.06+/4.22)e+10 [0] (+0.29+/4.63)e+10 [0]
BH44_Q (0.03+/3.21)e+11 [0] (+0.21+/3.12)e+11 [0]
BHDC_DIFF (1.07+/0.39)e+09 [0] (3.35+/7.47)e+07 [0]
BHDC_SUM (+2.07+/0.57)e+08 [0] (+0.32+/1.65)e+07 [0]
MICH sensing matrix with MICH locked with AS55_Q and LO_PHASE locked with BH44_Q
Sensing matrix with the following demodulation phases (counts/m)
{'AS55': 2.1, 'REFL55': 76.01784975834194, 'BH55': 63.16236453101908, 'BH44': 39.01036239539396}
Sensors MICH @311.1 Hz LO1 @315.17 Hz
AS55_I (+0.22+/5.36)e+07 [0] (+0.91+/3.10)e+07 [0]
AS55_Q (+1.43+/0.08)e+09 [0] (0.78+/7.45)e+07 [0]
BH55_I (+4.92+/5.18)e+08 [0] (5.20+/7.93)e+07 [0]
BH55_Q (1.45+/0.75)e+09 [0] (+1.76+/0.59)e+08 [0]
BH44_I (+0.01+/1.14)e+11 [0] (+0.02+/1.08)e+11 [0]
BH44_Q (+0.03+/1.95)e+11 [0] (+0.07+/1.98)e+11 [0]
BHDC_DIFF (+3.05+/0.17)e+09 [0] (+1.70+/2.51)e+07 [0]
BHDC_SUM (2.33+/0.23)e+08 [0] (+0.19+/1.53)e+07 [0]
 Jupyter notebook: /opt/rtcds/caltech/c1/Git/40m/scripts/CAL/SensingMatrix/ReadSensMat.ipynb
MICH BHD locking:
 MICH lock with AS55_Q was handed over to BHD_DIFF using following ratio:
C1:LSCPD_DOF_MTRX_3_4 = 1 (AS55_Q to MICH_A)
C1:LSCPD_DOF_MTRX_4_34 = 1.34 (BHDC_DIFF to MICH_B, when BH55_Q is used)
C1:LSCPD_DOF_MTRX_4_34 = 0.47 (BHDC_DIFF to MICH_B, when BH44_Q is used)
MICH BHD noise budget:
 FM2 of C1:CALMICH_CINV was updated to 1/1.4e9 = 7.14e10 to use measured optical gain.
 Dark noise was measured at C1:CALMICH_W_OUT with PSL shutter closed, PD DOF matrix at various settings for various readout scheme.
 Attachment #1 shows MICH sensitivity with MICH locked using AS55_Q (green), BHD_DIFF under BH55_Q (blue), BHD_DIFF under BH44_Q (red). BH44 case gives the least noise due to larger optical gain. However, there are excess noise at around 100 Hz, when MICH is locked with BHD_DIFF. The excess noise (bump at around 50 Hz) was similar to what we saw in LO phase noise estimate (40m/17511).
 At low frequencies below ~30 Hz, the MICH sensitivity is probably limited by seismic noise, as it alignes with FPMI DARM sensitivity (orange curve; measured in 40m/17468).
 Attachemnt #2 and #3 show estimate of LO phase noise contribution to MICH sensitivity in BH55 case and BH44 case. The coupling was estimated by measuring a transfer fuction from BH55_Q/BH44_Q to MICH_W_OUT. As there was significant coherence in 30200 Hz region in BH55 case, and 30100 Hz in BH44 case, transfer function value in that regions was used to estimate the coupling.
 The coupling was estimated to be the following
2e10 m/count for BH55_Q to MICH_W_OUT (0.035 m/m using BH55_Q calibration factor to LO1 motion of 1.76e8 counts/m)
2e11 m/count for BH44_Q to MICH_W_OUT
 Diaggui file: /opt/rtcds/caltech/c1/Git/40m/measurements/LSC/MICH/MICH_Sensitivity_Live.xml
Next:
 Calibrate BH44_Q to LO1 motion
 Measure transfer function from LO1 motion to BHD_DIFF under BH44 and BH55
 Find out the cause of 50 Hz bump in LO phase noise
 Compare LO phase noise coupling with simulations 
Attachment 1: MICH_Sensitivity_20230320.pdf


Attachment 2: MICH_Sensitivity_20230320_BH55Contribution.pdf


Attachment 3: MICH_Sensitivity_20230320_BH44Contribution.pdf


17515

Tue Mar 21 18:41:12 2023 
Alex  Update  IMC  Dither Lines set on MC1, MC2, MC3 for the night 
With Anchal's help, I have setup dither lines for Rana on MC1,2,3 that will be running overnight. The oscilations were set on MC1,2,3, oscillator screens.
The following table describes the current setup:
Mirror 
Frequency 
Amplitude 
MC1 
21.12 Hz 
2000 
MC2 
25.52 Hz 
1000 
MC3 
27.27 Hz 
2500 
These frequencies and amplitudes were set on LOCKIN1 for each MC1,2,3. The output filters matrix for MC1,2,3 was also updated to reflect the degree of freedom being tested: PITCH.
The frequencies were picked to avoid the dewhitening frequency: 28Hz, and the Bounce/Roll frequencies: 16 Hz & 24 Hz. Furthermore, decimal value frequencies were utilized to avoid the multiples of 1 Hz.
The oscilators were originally started at 1363480200 and will be turned off at 1363535157.
See attachment 1 for the plot of the power spectrum. This test is done to find the beam offset for pitch. 
Attachment 1: 21032023_Dither_lines_plot

17516

Wed Mar 22 15:51:44 2023 
Alex  Update  IMC  Beam offset calculation for MC1,2,3 from dither results 
I have organized the resulting data from running dither lines on MC1,2,3. The data has been collected from diaggui as shown in attachment 1.
Mirror 

Avg Re (+/ 1000) 
Avg Im (+/ 1000) 
Peak Power () 
Cts/urad 
MC1 
21.12 
7000 
4000 
8062 
12.66 
MC2 
25.52 
13000 
10000 
16401 
6.83 
MC3 
27.27 
4000 
600 
4044 
11.03 
Next using the following equations we can find :
Where is the change in length in result of the dithering and is the overall change in beam spot position
Delta L can be calculated by:
where is the peak power of the line frequency and is found by taking the square root of the magnitude of the Real and imaginary terms, is frequency the laser light is traveling at (281 THz) and is the lenght of the IMC (13.5 meters).
can then be calculated by:
where is the angle at which the mirror was shaken at a given frequency. We can find by converting the amplitude of the frequency that the mirror was shaken at and converting it into radians using the conversion constants found here: 17481.
is then shown to be found by this angle diveded by the line frequency.
The final values are calculated and displayed bellow:
Mirror 




MC1 
157.9 urad 
0.35 urad 
0.38 nm 
1.08 mm 
MC2 
146.4 urad 
0.23 urad 
0.78 nm 
3.39 mm 
MC3 
226.7 urad 
0.31 urad 
0.19 nm 
0.61 mm 

Attachment 1: 22032023_Dither_lines_demod_MC1_2112.pdf


17519

Thu Mar 23 16:21:10 2023 
rana  Update  IMC  Beam offset calculation for MC1,2,3 from dither results 
I have changed the MC SUS output matrices by a few % for some A2L decoupling  if it causes trouble, please feel free to revert.
Anchal came to me and said, "I think those beam offsets are a bunch of stinkin malarkey!", so I decided to investigate.
Instead of Alex's "method" of trusting the actuator calibration, I resolved to have less systematics by adjusting the SUS output matrices ot minimize the A2L and then see what's what vis a vis geometry.
The attached screenshot shows you the measurement setup:
 copy the DoF vector from DoF column into the LOCKIN1 column.
 Turn on the OSC/LOCKIN for the optics / DoF in question (in this example its MC2 PITCH)
 Monitor the peak in the MC_F spectrum
 Also monitor the mag and phase of the TF of MC_F/LOCKIN_LO
 use the script stepOutMat.py to step the matrix
Next I'm going to modify the script so that it can handle input arguments for optic/ DOF, etc.
FYI, the LOCKIN screens do have a TRAMP field, but its not on the screens for some reason . Also the screens don't have the optic name on them. :
SUS>caput C1:SUSMC2_LOCKIN1_OSC_TRAMP 3
Old : C1:SUSMC2_LOCKIN1_OSC_TRAMP 0
New : C1:SUSMC2_LOCKIN1_OSC_TRAMP 3
After finishing the tuning of all 3 IMC optics, I have discovered that 27.5 Hz is a bad frequency to tune at: the Mc1/MC3 dewhtiening filters have a 28 Hz cutoff, so they all have slightly different phase shifts at 2728 Hz due to the different poles due to tolerances in the capacitors (probably).
*Also, I am not able to get a real zero coupling through this method. There always is an orthogonal phase component that can't be cancelled by adjusting gains. On MC3, this is really bad and I don't know why.

Attachment 1: TuninMC2OutMatA2Lbeaucoup.png


Attachment 2: IMCA2Lnomore_cawcaw.png


17520

Thu Mar 23 17:47:53 2023 
Paco  Update  NoiseBudget  LO phase noise budget (BH55_Q) 
I drafted a calibrated LO Phase noise budget using diaggui whose template is saved under /opt/rtcds/caltech/c1/Git/40m/measurements/BHD/LO_PHASE_cal_nb.xml which includes new estimates for laser frequency and intensity noises at the LO phase when MICH is locked (whether they couple through MICH or the LO path is to be determined with noise coupling measurements in the near future, but we expect them to couple through the LO phat mostly).
Attachment #1 shows the result.
Laser Frequency Noise
To calibrate the laser frequency noise contribution, I used the LO PHASE error point away from the control bandwidth (~ 20 Hz) and the calibrated C1:IOOMC_F control point (in Hz) which should represent the laser frequency noise above 100 Hz. and dithered MC2 at frequencies around to 130, 215, and 325 Hz to match the LO phase error point with the MC_F signal. I was expecting to use a single 0 Hz pole + gain (to get the phase equivalent of the laser frequency noise) but in the end I managed to calibrate with a single gain of 3.6e7 rad/Hz and no pole. Since the way the laser frequency noise couples into our BHD readout may be complicated (especially when using BH55 RF sensor) I didn't think much of this for now.
Laser Intensity Noise
For the intensity noise, I followed more or less a similar prescription as for laser frequency noise. This time, I used the AOM in the PSL table to actuate on the 0th order intensity going into the interferometer. Attachments #23 show the connection made to the RF driver where I added a 50 mVpp sine (at an offset of 0.1 V) excitation in the AM port to inject intensity noise calibration lines at 215 and 325 Hz and matched the LO_PHASE error point with the BHDC_SUM noise spectrum. 
Attachment 1: lophase_cal_nb_20230322.png


Attachment 2: PXL_20230323_202125206.jpg


Attachment 3: PXL_20230323_194150923.jpg

