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Reports until 16:00, Wednesday 12 March 2014
H1 General
jim.warner@LIGO.ORG - posted 16:00, Wednesday 12 March 2014 (10715)
Ops log Mar 12 2014

9:00 Apollo craning LVEA

9:15 Gerardo EY for PCAL prep/inventory

9:15 Aaron EX to look at cabling

9:30 JeffB & Andres to HAM4/5 area for SUS work, out at 11:00

9:30 Keita to EY for ISCTY

9:45 Jodi to MidY

9:45 Betsy and Travis to EY for quad

10:00 Hanford Fire on-site

13:00 Karen to EY for cleaning, back 14:30

13:15 JeffB & Andres to HAM4/5

13:30 Jodi to MidY

13:30 Jonathan to MidY, back 14:00

14:45 Hanford Fire leaving

15:30 Vern to LVEA, out 15:45

15:30 Cyrus to MidY to return a PEM chassis

H1 SUS
arnaud.pele@LIGO.ORG - posted 15:48, Wednesday 12 March 2014 - last comment - 16:03, Wednesday 12 March 2014(10718)
TMSX TF results

After TMSY work on monday I took some overnight measurements yesterday night to check for rubbing, and compared the results with model and TMSX data.

TF looks suspiciously different in the vertical degrees of freedom (VERT and ROLL) than TMSX and model, which indicates that there is probably still something blocking the table to move freely.

Non-image files attached to this report
Comments related to this report
arnaud.pele@LIGO.ORG - 16:03, Wednesday 12 March 2014 (10720)

Per Keita's request, attached is a comparison between the TMSY last year in April and yesterday night

Non-image files attached to this comment
H1 SUS
betsy.weaver@LIGO.ORG - posted 15:47, Wednesday 12 March 2014 - last comment - 16:35, Wednesday 12 March 2014(10719)
ETMy SUS alignment update

After lunch we went back to EY to find the mechanical grounding in the ETMy reaction chain.  After a while we spotted a top mass MRB block (hanging part) brushing the tablecloth (structure part).  Our pitch alignment earlier in the day caused the top mass to pitch into the structure.  We could not adjust the structure out of the way* so we adjusted pitch to alleviate the brushing.  The reaction chain pitch has a  ~1.47mRad tolerance and we are still within this at ~860uRad.  Quick low-coherence TFs looked promising so we are restarting the night run full suite Matlab TFs.

 

*We could not adjust the table cloth easily since 1) everything is suspended - ISI and HEPI included so it all bounces to the lightest touch, 2) the ACB is now mounted and difficult to maneuver around, and 3) the table cloth serves purpose for both chains simultaneously so adjusting it for one chain somewhat anti-adjusts it for the other chain - too risky at this point.

 

-Betsy, Travis

Comments related to this report
arnaud.pele@LIGO.ORG - 16:35, Wednesday 12 March 2014 (10721)

As a reference, I attached the results from the main and reaction chain transfer functions taken yesterday night, showing how the rubbing due to one of the vertical EQ stops affects the TF (2nd attachement).
 

Non-image files attached to this comment
H1 SUS
keita.kawabe@LIGO.ORG - posted 15:30, Wednesday 12 March 2014 (10717)
EX PUM P2P and Y2Y performance

Related: PUM P2P and Y2Y inversion filters:

https://alog.ligo-wa.caltech.edu/aLOG/index.php?callRep=10610

I injected into PUM drivealign P2P, through P2P inversion filter, and measured the TF from injection to the OL P (red thick) and Y (red thin dashed). Did the same thing to Y2Y to OL Y (blue thick) and P (blue thin dashed).

In a frequency band where I managed to get a high coherence (0.2Hz to 4Hz) P2P and Y2Y look pretty good. Also P2Y is good. However, Y2P (blue thin dashed) looks problematic between 1 and 2Hz (and maybe 0.4-0.6Hz).

I'll make a Y2P filter that eliminate this.

Images attached to this report
H1 TCS (TCS)
greg.grabeel@LIGO.ORG - posted 15:13, Wednesday 12 March 2014 (10716)
TCS HAM 4 Viewports
Apollo (Mark, Scotty), Greg Grabeel
Taking advantage of the window in between the work on HAM 4 and HAM 5, Apollo installed the HWS viewports. Because of the hole pattern on the flange they are not able to be pointing directly down in regards to the scribe on the face, but they are fairly close. Hopefully close enough that the slotting on the light pipe will make up any difference.
Images attached to this report
H1 SUS
betsy.weaver@LIGO.ORG - posted 13:00, Wednesday 12 March 2014 (10714)
ETMy suspension alignment continues

Last night, we finally obtained successful transfer function data on both the main and reaction chains of the ETMy.  As expected, the main chain looked clean (we'd taken sneak peeks prior).  However, the reaction chain looked bad.  So, we went out and found a tough-to-see earthquake stop touching the reaction chain top mass.  This cleaned up the TFs.  However, alleviating the stop made the reaction chain pitch change.  Realigning the chain made the lower stage sensors fall out of range of course.  After fixing all of these, we discovered the TF's had again gone to h*ll.  I scrutinized the EQ stops, all flags, and all other potential spots for mechanical interference.  Finding nothing in error, I gave up for lunch.  TFs of the main chain are still clean so the interference must not be between the chains but to the structure, BOSEMs, or EQ stops.  Will go hunting again after lunch.

 

We'll need to abort the spool replacement effort scheduled for this afternoon since we will continue to need the IAS equipment set up there until this QUAD satisfies both alignment and noise parameters.  As usual, it is difficult to get a QUAD to satisfy both at the same time.  I expect another round of TFs to be taken tonight since convincing ones self that the TFs look good is particularly difficult during low-coherence daytime measurements.

H1 SUS (SUS)
mark.barton@LIGO.ORG - posted 11:21, Wednesday 12 March 2014 (10677)
Updated HAUX/HTTS model with corrected structure pitch coupling

I committed an update to ^/trunk/Common/MatlabTools/SingleModel_Production that optionally corrects (for the single model only at this point) a long-standing known error with the B matrix in the Matlab state space for all models (single, double, triple, quad), whereby the coupling from structure pitch to optic longitudinal was zero.

The trouble is that the SS matrix elements have been derived for infinitely flexible wire. For realistic, stiff wire, the wire flexure correction would ideally be implemented with code like the following

    if isfield(pend,'dblade')
    dblade = dblade + flex0;
    end
    dpitch = dpitch + flex0;
    l0 = l0 - 2*flex0/c0;
    dyaw1 = dyaw1 + 2*si0*flex0/c0;
    dyaw2 = dyaw2 - 2*si0*flex0/c0;
    if isfield(pend,'dblade')
    dblade = dblade + flex0;
    end
    dpitch = dpitch + flex0;
    l0 = l0 - 2*flex0/c0;
    dyaw1 = dyaw1 + 2*si0*flex0/c0;
    dyaw2 = dyaw2 - 2*si0*flex0/c0;
    dblade = dblade + flex0;
    dpitch = dpitch + flex0;
    l0 = l0 - 2*flex0/c0;
    dyaw1 = dyaw1 + 2*si0*flex0/c0;
    dyaw2 = dyaw2 - 2*si0*flex0/c0;
 

where dblade, dpitch, dyaw1 and dyaw2 are the vertical and horizontal offsets to the wire attachment points, flex0 is the vertical component of the flexure length, and si0 and c0 are sine and cosine of the angle of the wire to the vertical. This amounts to insetting the ends of the wire by one flexure length at each end. However for historical reasons there is no dblade or analogous quantity defined in any of the Matlab models for the very top wire attachment, so that line has had to be left out. The A matrix turns out completely OK because it only depends on the shortening of the wire - the pendulum has effectively been hitched up by flex0 because dblade couldn't be increased, but it retains all the same pendulum resonances. However it has the effect of zeroing out the structure pitch to optic longitudinal coupling in the B matrix, because even with dblade=0, there's supposed to be a lever arm of flex0.

The impetus to fix this is that Fabrice has been doing a series of experiments with a seismometer mounted as an pendulum with the same structure as for HAUX/HTTS (two blades, two wires), and is seeing a coupling from pitch of the structure. Therefore it is of interest to have a debugged model with the proper pitch-to-longitudinal coupling for comparison purposes.

To implement the fix, I created a new Mathematica model with an explicit dblade parameter, ^/trunk/Common/MathematicaModels/TwoWireSimpleBladesED (ED=extra "d"), updated the Matlab-export code to match, and exported a new set of Matlab matrix elements symbexport1bladesEDfull.m. I then hacked ssmake1MBf.m to use these elements when pend.dblade is defined. The usual use case will be pend.dblade=0, but other values also work. The attached plot is generated by edplot.m and shows the P to L transfer function for the default case of the TwoWireSimpleBladesED model which has dblade=0.001 and flex0=0.0009687. The plot generated from the Matlab model is in blue, and is exactly overlain by comparison data exported from the equivalent Mathematica in red.

As might be hoped, the value at f=0 is -(dblade+flex0)= -0.0019687. The sign is negative because +pitch is right-handed around +y=left, i.e., nose down, so as pitch increases the effective flexure point moves backwards. See the attached diagram.

Images attached to this report
H1 CDS
david.barker@LIGO.ORG - posted 10:35, Wednesday 12 March 2014 - last comment - 10:41, Wednesday 12 March 2014(10711)
H1 front end restart report for Tuesday 12th March 2014

For now I'll manually post these but soon these will be posted by a robot.

model restarts logged for Tue 11/Mar/2014
2014_03_11 09:57 h1ioppemmy
2014_03_11 10:05 h1ioppemmy
2014_03_11 10:06 h1ioppemmy
2014_03_11 10:14 h1ioppemmy
2014_03_11 10:15 h1ioppemmy
2014_03_11 10:16 h1ioppemmy
2014_03_11 10:46 h1asc
2014_03_11 11:12 h1lsc
2014_03_11 13:25 h1ioppemmy
2014_03_11 13:26 h1ioppemmy
2014_03_11 13:27 h1ioppemmy
2014_03_11 13:27 h1pemmy
2014_03_11 21:37 h1lsc
2014_03_11 22:02 h1lsc
2014_03_11 22:06 h1lsc

Comments related to this report
david.barker@LIGO.ORG - 10:41, Wednesday 12 March 2014 (10712)

2014_03_11 11:40 DAQ Restart

H1 SEI (INS, ISC)
hugh.radkins@LIGO.ORG - posted 10:23, Wednesday 12 March 2014 (10710)
H1 ETMY HEPI Medm Screens Populated

They weren't empty but they were wrong.  The IPS raw signals only became useful Monday after we finished the final alignments after the Actuator connection.  So if you care (likely not) about the ETM HEPI position before now (0955pdt) you'll have to look at the local coordinates.  Now you can look at the cartesian values for positions.  Remember, I zero'd (<50 counts, 655cts.0.001" or 38.8nm/ct) Monday.  The raw IPS are all running under 300cts now (HEPI is still unlocked) but the ACB weight decreased slightly yesterday and I'm not surprised to see a little drift as well.  The cartesian are all running under 10um or urad and most much less.  The nominal position for control will be zero.

H1 INS
michael.landry@LIGO.ORG - posted 08:14, Wednesday 12 March 2014 (10709)
HAM4 closed temporarily
Yesterday we tacked both doors on HAM4 with four bolts.  We did not complete a chamber closeout checklist: we are not going to pump down on this volume until after we revisit alignment of the SR2 there, i.e. we cannot pump down until going back in and completing the closeout.  
H1 ISC
sheila.dwyer@LIGO.ORG - posted 01:34, Wednesday 12 March 2014 - last comment - 05:22, Wednesday 12 March 2014(10707)
measurement left running on ETMX

I started to try to commision the slow feedback to ETMX again.  (We previously had this working, but had never charachterized it, and it was causing pitch problems.  I would like to have a feedback to both HEPI and the top mass, and Arnaud has been working on L2P decoupling.)

It seems like the L2P filter right now is unstable, the optic is pitched around alot everytime I try to engage it.  Currently I have a X arm gain of -0.8, the notch in MO_LOCK_L, and no boost.  The feedback is stable, but the UGF is low.  The guardian is set up to set these settings, and running tonight.

From the transfer function measurements I've made (none of which have verry good coherence) it seems like we should be able to increase the gain, the problem is that we start to excite pitch too much and loose lock.

If opwsws4 has not crashed by morning, would someone from the red team hit save on my dtt session, please?  Thank you.

Comments related to this report
yuta.michimura@LIGO.ORG - 05:22, Wednesday 12 March 2014 (10708)

Your data is saved and ETMX is misaligned now.

H1 ISC
sheila.dwyer@LIGO.ORG - posted 22:08, Tuesday 11 March 2014 (10706)
LSC model

Although Adam warned me about making sure we fixed all the connections in the LSC model, I miscommunicated with Dave and we installed it with out fixing the connections.  Daniel and I now fixed the connections, restarted the model, and commited it to svn. 

H1 SUS
arnaud.pele@LIGO.ORG - posted 21:59, Tuesday 11 March 2014 (10705)
TOP mass Y2Y filters installed

The Y2Y filters for ETMX ITMX and ITMY were installed today in the top mass drivealign matrix. The ITMX filter has been copied from ITMY and the design method is the same as in alog 10610.

The open loop (top mass yaw drive to test mass yaw through the invY2Y filter) (should) give a single pendulum transfer function with a resonant Q of 3 @ 0.6Hz, for the 3 quads.

The design scripts are living in :

/ligo/svncommon/SusSVN/sus/trunk/QUAD/H1/ITMY/SAGM0/Scripts/itmy_Y2Y_inversion.m

/ligo/svncommon/SusSVN/sus/trunk/QUAD/H1/ETMX/SAGM0/Scripts/etmx_Y2Y_inversion.m

And the measured data is from the dtt templates :

/ligo/svncommon/SusSVN/sus/trunk/QUAD/H1/ITMY/SAGM0/Data/2014-03-03_H1SUSITMY_M0_YtoPY_WhiteNoise_0p1to10Hz.xml

/ligo/svncommon/SusSVN/sus/trunk/QUAD/H1/ETMX/SAGM0/Data/2014-03-10_H1SUSETMX_M0_YtoPY_WhiteNoise_0p1to10Hz.xml

 

Images attached to this report
H1 ISC
sheila.dwyer@LIGO.ORG - posted 20:30, Tuesday 11 March 2014 (10703)
Locking COMM tonight

Alexa, Sheila

We have been unable to lock ALS COMM for more than about 5 minutes tonight, I'm not sure if this is because of high seismic, or for some other reason.  (The microseism is around (or just below) the 90th percentile, and we have convoys of trucks) We have made a few measurements of spectra, not with the WFS engaged.  The attached screen shot shows two spectra, the red trace was taken with a gain of 8dB on in 1 of the common mode board, the green trace with 19 dB.  We wanted to reproduce that the high gain loop really has lower noise, but keep dropping lock. 

The botom panel shows the coherence with the ISCT1 accelerometer that Robert moved onto the periscope today. 

Images attached to this report
H1 SUS (ISC)
jeffrey.kissel@LIGO.ORG - posted 20:01, Tuesday 11 March 2014 - last comment - 20:38, Tuesday 11 March 2014(10702)
All L1 and H1 HSTS M2 and M3 Stage Actuators are off by a Minus Sign
J. Kissel, A. Pele, A. Staley

All HSTS and HSTS at both sites have incorrect M2 and M3 coil/magnet COILOUTF gain signs.

While once again banging our heads against the IMC crossover measurements against Alexa's discrepant ALS COMM model, we had one more epiphany regarding the SUS -- RESPECT THE PHASE. Her lowest frequency cross-over, the M1-M2 crossover, which should have a phase of -180 [deg], was measured to have a phase of 0 [deg], but otherwise the magnitude matches exquisitely. Then I remembered her mentioning a month ago that LLO had to account for an unknown minus sign on there lower stages of MC2 to get models to match measurements. Having just recently found an AOSEM vs. BOSEM COILOUTF gain sign bugs on the QUADs during the coil balancing, it occurred to me to check that the M2 and M3 stages of the MC2 matched the PUM stage of a QUAD. They did not, and are indeed incorrect. BIFF!

Worried that it was a systematic flaw copied and pasted everywhere (and because green team need mode cleaner, but not PRM), I checked PRM. Also incorrect. To confirm that that sign orientation *is* in correct, we drove a DC offset on the lower stages of PRM, and indeed, a +L requested drive moves the suspension in -L (as measured by the OSEM sensors). I asked Arnaud to quickly plot the phase of the acceptance measurements that he had for one of these suspensions. ZLONK! +180 [deg] measured phase at DC, where we should expect (from any suspension on the planet) 0 [deg] phase at DC.

Sad about this, I then modified the acceptance measurement scripts to plot the phase of a random smattering all of the M2 and M3 acceptance measurements that have been taken of all HSTS at both sites. All have a phase of +180 [deg] -- see attached. POWIE!

The reason for the flaw in magnet compensating gains? AOSEMs and BOSEMs have coils wound in exactly opposite direction. So a positive current sent to a BOSEM coil will result in magnetic fields opposite in direction than the AOSEM coil. We realized this halfway through defining all of our suspensions' lower stage magnet signs, as is reflected by the poor quality of information in our sign convention documentation, T1200015, specifically the Cheat Sheet, where it shows a table of COILOUTF gains for "Any 4 OSEM Stage" as
    UL   -
    LL   +
    UR   +
    LR   -
which is the current sign distribution on the M2 and M3 stages for HSTSs. However, this table was created / determined assuming a BOSEM winding. You'll notice that the difference between -v2 and -v3 is "adding a AOSEM vs. BOSEM push/pull table," and the (unfinished!) statement that "AOSEM and BOSEM coils are wound exactly opposite in direct[[ion]]." CLANK-EST!

Naturally, because the HLTS EPICs values began as a copy-and-paste of the HSTS, any HLTS has this same flaw of its lower stages, but we haven't used them enough to notice.

Conclusions:
- All HSTS and HSTS at both sites have incorrect M2 and M3 coil/magnet COILOUTF gain signs. That's MC1, MC2, MC3, PRM, PR2, PR3, SR3, SR2, and SRM.

There signs should be:
    UL   +
    LL   -
    UR   -
    LR   +

- I blame myself.

- I clearly need to create a version 4 of T1200015.

- Of course this affects all IFO loops that use the HSTS, so I have not and will not change the signs unless I have whomever designed the ISC loops sitting next to me.
Non-image files attached to this report
Comments related to this report
jeffrey.kissel@LIGO.ORG - 20:38, Tuesday 11 March 2014 (10704)
T1200015 has been updated to version 4 with explicit calls to the differences between an AOSEM and BOSEM, 4-OSEM stage.
H1 AOS
thomas.vo@LIGO.ORG - posted 17:18, Tuesday 11 March 2014 (10701)
03/11/2014 Ops Summary

- Hanford Fire Maintenance fixing hydrant 1 by the woodshop

- Jim and Cyrus at MY working on PEM card.

- Dave B. two DAQ reboots today.

- Jeff B. and Andres R. at HAM4

- Robert S. installing accelerometers on ISCT1L

- Apollo installing  both doors on HAM4 with 4 bolts

- CDS implementing LSC and ASC model changes

- SUS doing transfer functions at EY

- Patrick T. doing a CONLOG update

- Karen at EY to clean

H1 ISC (ISC)
evan.hall@LIGO.ORG - posted 20:45, Sunday 09 March 2014 - last comment - 12:10, Wednesday 12 March 2014(10642)
PRC Length Measurement
(Evan H, Ed D, Stefan B and Dave O)(Evan H, Ed D, Stefan B and Dave O)
(Evan H, Ed D, Stefan B and Dave O)
 
We measured the length of the PRC by injecting the light from a 250 mW auxiliary NPRO (Lightwave) through the back of IM4 towards the PRM. The NPRO was phased locked to the main PSL carrier by observing the beat between these two lasers from the path IO_Forward using a New Focus 1811.
 
 
Phase Locking
 
The error signal was obtained by feeding the signal from the 1811 into the RF port of a double-balanced mixer. The LO of the mixer was driven with the source port of a network analyzer (HP4395A). The reulting IF was low-passed at 1.9 MHz and then fed into the input of a Newport LB1005 servo box. The settings on the box were 3kHz P-I corner, 50 dB low-frequency gain limit, and 4-0 on the gain knob. The output of this box was sent to the fast PZT input of the NPRO. The output was also attenuated by 4x10^-4, summed in with a DC trimpot voltage, and then and sent to the NPRO's slow temperature input. Once fast lock was acquired, the gain was increased until a small oscillation was observed, and then the gain was backed off. Then the LB1005 was switched from "LFGL" to "lock on", and the slow loop was switched on.
 
 
FSR Measurements
 
We measured the transfer function which takes the network analyzer's LO drive to REFLAIR_B_RF. The magnitude and phase of the this TF gives the complex reflectance function of the PRC. We measured over a series bands including 32.4 – 32.6 MHz, 68.8 – 69 MHz and 102.6 – 102.8 MHz. These bands were analysed when the auxiliary laser was locked above and below the PSL carrier.
 
The settings on the network analyzer were: sweep time of 500 s, 801 samples, IF bandwidth of 1kHz, and a span of 200 kHz.
 
Because of the sensitivity of the PLL servo, for each measurement we started the sweep on the network analyzer and then brought the auxiliary/PSL beat note into lock. Throughout these measurements, PRMI was sideband locked.
 
 
Results
 
We obtained the frequency response plots in the following order +102.7 MHz, +32.5 MHz, -32.5 MHz, -102.7 MHz (twice), -68.9 MHz, and +68.8 MHz.
 
Plots of the frequency response are attached. These magnitude data were fitted to a Lorentzian to determine the exact frequency of the resonances. The results were as follows:
 
FSR number    Resonance frequency              HWHM frequency
 
-39.5                102.701020 MHz +/- 180 Hz    26.7 kHz +/- 400 Hz
-39.5                102.700690 MHz +/- 190 Hz    27.3 kHz +/- 500 Hz
-26.5                68.900360 MHz +/- 150 Hz       24.0 kHz +/- 400 Hz
-12.5                32.499990 MHz +/- 90 Hz         20.56 kHz +/- 180 Hz
12.5                 32.501860 MHz +/- 90 Hz         20.5 kHz +/- 200 Hz
26.5                 68.904100 MHz +/- 170 Hz       25.3 kHz +/- 400 Hz
39.5                102.705400 MHz +/- 190 Hz     29.2 kHz +/- 500 Hz
 
Already from these numbers we can see that the PSL carrier does not appear to be perfectly antiresonant; there is an offset of about 1400 Hz. Note also there is a systematic disagreement in the numbers for the HWHM frequency. Taking a nominal value of 25 kHz for the HWHM and 2.6 MHz for the FSR gives a finesse of 50.
 
We then plotted these with FSR number on the horizontal axis and resonance frequency on the vertical axis. The residuals do not show a random behaviour; there appears to be additional structure not captured in this model. The slope of the line gives the FSR of the PRC, and the offset is 1400 Hz +/- 300 Hz, indicating the offset from antiresonance.
 
At the present time we can say that the FSR of the PRC is 2.600075 MHz +/- 26 Hz. This corresponds to a PRC length of 57.651 m +/- 1 mm. This measurement is limited by our residuals, and we are currently investigating this.
 
In estimating the uncertainty in the FSR, we note that the largest residual is for the 102.7 MHz measurement, and is equal to about 1 kHz. This fractional uncertainty is 1x10^-5; using this as the fractional uncertainty on the FSR gives 26 Hz. This dominates over the purely statistical error given by the fitting algorithm (11 Hz). Propagating this 26 Hz uncertainty forward to the PRC length gives 57.6507 m +/- 0.6 mm. To be conservative, we quote the uncertainty to the nearest 1 mm.
We measured the length of the PRC by injecting the light from a 250 mW auxiliary NPRO (Lightwave) through the back of IM4 towards the PRM. The NPRO was phased locked to the main PSL carrier by observing the beat between these two lasers from the path IO_Forward using a New Focus 1811.
 
 
Phase Locking
 
The error signal was obtained by feeding the signal from the 1811 into the RF port of a double-balanced mixer. The LO of the mixer was driven with the source port of a network analyzer (HP4395A). The reulting IF was low-passed at 1.9 MHz and then fed into the input of a Newport LB1005 servo box. The settings on the box were 3kHz P-I corner, 50 dB low-frequency gain limit, and 4-0 on the gain knob. The output of this box was sent to the fast PZT input of the NPRO. The output was also attenuated by 4x10^-4, summed in with a DC trimpot voltage, and then and sent to the NPRO's slow temperature input. Once fast lock was acquired, the gain was increased until a small oscillation was observed, and then the gain was backed off. Then the LB1005 was switched from "LFGL" to "lock on", and the slow loop was switched on.
 
 
FSR Measurements
 
We measured the transfer function which takes the network analyzer's LO drive to REFLAIR_B_RF. The magnitude and phase of the this TF gives the complex reflectance function of the PRC. We measured over a series bands including 32.4 – 32.6 MHz, 68.8 – 69 MHz and 102.6 – 102.8 MHz. These bands were analysed when the auxiliary laser was locked above and below the PSL carrier.
 
The settings on the network analyzer were: sweep time of 500 s, 801 samples, IF bandwidth of 1kHz, and a span of 200 kHz.
 
Because of the sensitivity of the PLL servo, for each measurement we started the sweep on the network analyzer and then brought the auxiliary/PSL beat note into lock. Throughout these measurements, PRMI was sideband locked.
 
 
Results
 
We obtained the frequency response plots in the following order +102.7 MHz, +32.5 MHz, -32.5 MHz, -102.7 MHz (twice), -68.9 MHz, and +68.8 MHz.
 
Plots of the frequency response are attached. These functions were fitted to a simple cavity model to determine the exact frequency of the resonances. The results were as follows:
 
FSR number    Resonance frequency
 
-39.5         102.701020 MHz +/- 180 Hz
-39.5         102.700690 MHz +/- 190 Hz
-26.5         68.900360 MHz +/- 150 Hz
-12.5         32.499990 MHz +/- 90 Hz
12.5          32.501860 MHz +/- 90 Hz
26.5          68.904100 MHz +/- 170 Hz
39.5          102.705400 MHz +/- 190 Hz    
 
Already from these numbers we can see that the PSL carrier does not appear to be perfectly antiresonant; there is an offset of about 1400 Hz.
 
We then plotted these with FSR number on the horizontal axis and resonance frequency on the vertical axis. The residuals do not show a random behaviour; there appears to be additional structure not captured in this model.
 
At the present time we can say that the FSR of the PRC is 2.600075 MHz +/- 26 Hz. This corresponds to a PRC length of 57.6507 m +/- 0.6 mm. This measurement is limited by our residuals, and we are currently investigating this.
Non-image files attached to this report
Comments related to this report
daniel.sigg@LIGO.ORG - 11:28, Monday 10 March 2014 (10650)

Assuming the frequency calibration of the network analyzer is accurate, we can compare the measured PRC length with the measured mode cleaner length. This was measured in alog 9679.

Parameter Value Unit
FSRPRC 2.600075 MHz
LPRC 57.6508 m
FSRMC 9.099173 MHz
LMC 16.473612 m
FSRMC / 3.5 - FSRPRC -306 Hz
(1 - FSRMC / 3.5 FSRPRC) LPRC 6.8 mm

Compared with the modeclaner, the power recycling cavity is about 7 mm too short. The other way around, the modecleaner is about 2 mm too long.

daniel.sigg@LIGO.ORG - 13:58, Monday 10 March 2014 (10654)

We hooked up the network analyzer to the timing comparator/frequency counter and set it to 40 MHz sharp at 0 dBm. The readback value was dead on, occasionally we would read 1 Hz higher. Conclusion: the frequency of the sweep is no more than 1 Hz off, even at 100 MHz.

evan.hall@LIGO.ORG - 12:10, Wednesday 12 March 2014 (10713)

I've redone the fits using both the magnitude and the phase. The fitting function is now the usual Fabry–Pérot reflectance function, with a complex magnitude to allow for global amplitude rescaling and global phase offset.

Nominal FSR Frequency (Hz)
−39.5 −102 701 040 ± 200
−39.5 −102 700 900 ± 220
−26.5 −68 900 600 ± 180
−12.5 −32 500 080 ± 100
12.5 32 501 720 ± 110
26.5 68 903 940 ± 200
39.5 102 704 700 ± 200

The linear fit now gives an FSR of (2 600 073 ± 9) Hz. This is consistent with the previous fit, and anyway the total error is still dominated by some systematic, as seen by the fact that the residuals are excessively large.

Taking a systematic 400 Hz uncertainty on the residual for the 12.5 FSR measurement gives a systematic uncertainty of 32 Hz on the PRC FSR. Propagating foward gives (57.6508 ± 0.0007) m.

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