Motivation: Tommorrow we will try and optimize the input mode matching. This is based on elog 67078 which concluded that the input mode matching was suboptimal.
In May last year, the west arm test masses were changed. So, I will not summarize any measurements prior to that date. Clément and I did some measurements during the west mirror swap, and those are summarised in VIR-0907A-25.pdf
June Measurement (mwas, elog 67078)
In June, Michal et al. changed the RH powers.
North: 7.4 W -> 3.4 W
West: 8.1 W -> 4.0 W
At the same time, a noise peak in DARM shifted from 10700 Hz to 11500 Hz.
December Measurements (cjacquet et. al.)
In December, several measurements were carried out. In all cases, the RH settings were:
NE Coil 1 16.143 V, 0.265 A, NE Coil 2: 16.1425 V, 0.263 A
WE Coil 1: 17.5745 V, 0.293 A, WE coil 2: 17.5728, 0.297 A
Voltage uncertainty +/- 0.0001 V; amperage uncertainty +/- 0.001 A. This was stable across all measurements (as report by in loop sensors, so caveats apply).
This amounts to 8.53 W in the north arm and 10.36 W on the west arm (note this was tuned again in as of Thursday 22nd at 17h00 it was 8.65 W and 10.19 W).
NB: In all cases I take the FSR to be 49968 Hz.
December 2nd (Elog 68300)
Clément and I took some data, but no results were posted and I have no reanalyzed the data.
December 15th (elog 68385)
Scans were taken using a CARM offset. This means there was no 1064nm beam and so no thermal lensing, the method is described in the Opt Char Measurement guide. The ring heaters were set to the above values. Using a quick python script, I found the 2nd order mode separation to be 11,731 Hz or 0.235 fractional FSR. See attachment 04. Note that I used a "downward" scan, so the frequencies in the graph need to be read as FSR - f,
My quick python script was done "blind" to validate Cléments results quasi-independantly, but I present it here as part of a coherent narrative.
December 19th (elog 68417)
On December 18th the cryotrap was closed, in the morning, it was opened and the effect the on the mirror observed. As the mirror cooled down, A shift from a fractional FSR position of the second order mode from 0.241 -> 0.236 was observed. This was 12,042 Hz -> ~11731 Hz. Details can be found in his elog.
December 22nd (elog 68423)
On December 22nd, the RH's were tuned off in both arms. Aat the start of the measurement the RH's were in their nominal configuration, as listed above. Details in Cléments log. For both arms, the shift was 0.235 (11,742) -> 0.205 (10,243 Hz).
Warning: What is strange here is that the mode separation frequency is going down when the RH's are tuned off. This is the opposite to in the june measurement.
Summary of measurements so far
Putting these in a line we have:
- 10,235 Hz (No ring heater + cryotrap)
- 11,724 Hz (Ring heater + cryotrap)
- 12,042 Hz (Ring heater + no cryotrap)
Estimating hot curvature - Part 1, Estimating the effect of the RH
In VIR-0907A-25.pdf, on page 8, Clément gives the LMA measurements as:
LMA_measurements = dict(NI=1424.6,NE=1692.6,WI=1425.5,WE=1695)
Ideally, we would have taken data with no cryotrap & no ring heater. Then we could compare that gouy phase number directly against the LMA measurement. We don't have that, so using the LMA measurements for the input mirror and the second order mode seperation frequency, I solved for the end mirror RoC. In the North arm, it is 1653 m with the no RH + cryostat and 1678 m with the RH + cryostat. In both cases it comes out to +25.0m.
Warning: This implies that the RoC seen by the mirror increased when the RH was turned off, i.e the mirror got flatter/less curved. This is not what I would have expected.
Estimating hot curvature - part 2, Effect of cryotrap & true curvature.
There is a descrepancy between the LMA measurement and the in situ measurement. Our leading explaination for this is a systematic error in the measurement at LMA, which would be common for all mirrors. Calculating the mode separation frequency for several different offsets, we can find an intersection at -17.5m. See attachement.
We can then recompute the effect of the ring heater, with the static offset applied. We compute the effect of the RH to be +24.9m on the ETMs and the systematic offset with the LMA measurement to be -17.5m.
The NE RH was set to 8.53 W, therefore, 2.92 m/W
The WE RH was set to 10.36 W, therefore 2.40 m/W
The analysis for parts 1 and 2 is in this python file https://git.ligo.org/IFOsim/Finesse_playground/-/blob/21e5f39423fc9cc7245d5c8b5796b48d5617aee0/aaron_jones/2026_virgo/03a_utils.py
Estimating hot curvature - part 3
We can then recalculate the curvatures for the RHs after the TCS tuning last thursday. The method is shown in this file and relies upon Ilaria's TCS tuning documents:
The expected second order mode freq is: North: 13082 Hz West: 13206 Hz.
We can then explore the range of 2nd order mode frequencies as a function of absorbtion and RH power (caveat that I'm not totally sure on Clément's measurements). This is shown in the attachements.