On the day before yesterday and in this morning, I measured loss map of ETMX. I reported the method I used to change the beam spot on ETMX below.
Round trip loss was measured for 5 x 5 points. The result is below.
455.4 +/- 21.1 437.1 +/- 21.8 482.3 +/- 21.8 461.6 +/- 22.5 507.9 +/- 20.1
448.4 +/- 20.7 457.3 +/- 21.2 495.6 +/- 20.2 483.1 +/- 20.8 472.2 +/- 19.8
436.9 +/- 19.3 444.6 +/- 19.7 483.0 +/- 19.5 474.9 +/- 20.9 498.3 +/- 18.7
454.4 +/- 18.7 474.4 +/- 20.6 487.7 +/- 21.4 482.6 +/- 20.7 487.0 +/- 19.9
443.7 +/- 18.6 469.9 +/- 20.2 482.8 +/- 18.7 480.9 +/- 19.5 486.1 +/- 19.2
The correspondence between the loss shown above and the beam spot on ETMX is shown in the attached figure. In the figure, "up" and "right" indicate direction of shift of the beam spot when you watch it via the camera (ex. 455.4 ppm corresponds to the highest and rightest point in the view via the camera).
This result is consistent withe previous result of 561.19 +/- 14.57 ppm ericq got with ASDC and reported in elog 10248 if the discussion I reported in 11819 is taken into account. Elog 11819 says in short that the strange behavior of ASDC could give us 60-70 ppm error.
The reason why the error is larger than that of the measurement for ETMY is that the noise of POX is larger than that of POY. But I am not sure to what extent the statistical error needs to be reduced.
How I shifted the beam spot on ETMX:
Basically, the method was same as one used for Y arm. Different point is: for Y arm we have two steering mirrors TT1&2, but for X arm we have only one steering mirror BS. Then in order to shift incident beam so that the beam spot on ITMX does not change, I ran the dithering of X arm as well as that of Y arm and added offsets to both dither loops that caused same amount of shift on ETMX and ETMX. Thanks to the symmetry between X arm and Y arm, the dithering of Y arm ensured that the beam spot on ITMX was unchanged as well as that of ITMY. The idea of this method is schematically shown in Attachment 2.
The calibration of how much the beam spot shifted is based on the results of elog 11846 . The offset was [-15,-7.5,0,7.5,15]x[-5,-2.5,0,2.5,5] for pitch and yaw, respectively.
I changed the snapshot file for ASS, /opt/rtcds/caltech/c1/scripts/ASS_DITHER_ON.snap as follows:
L124 > C1:ASS-XARM_ETM_PIT_GAIN 1 -5.000000000000000e-02
=> C1:ASS-XARM_ETM_PIT_GAIN 1 -1.500000000000000e-02
L128> C1:ASS-XARM_ETM_YAW_GAIN 1 5.000000000000000e-02
=> C1:ASS-XARM_ETM_YAW_GAIN 1 1.500000000000000e-02
The purpose of this change is to avoid the oscillation when the dithering of X arm is running.
Here I explain usage of my scripts for loss map measurement. There are 7 script files in a same directory /opt/rtcds/caltech/c1/scripts/lossmap_scripts. With these scripts, round trip loss of an arm cavity with the beam spot on one mirror shifted to 5x5 (option: 3x3) points is measured. You can choose on which cavity you measure, the beam spot on which mirror you shift, and maximum shift of the beam spot in vertical and horizontal direction.
To start measurement from the beginning
Run the following command in an arbitrary directory and you will get several text files including the result of loss map measurement:
> python /opt/rtcds/caltech/c1/scripts/lossmap_scripts/lossmap.py [maximum shift in mm (PIT)] [maximum shift in mm (YAW)] [arm name (XorY)] [mirror name (E or I)]
Optionally, you can add "AUTO" at the end of the above command. Without "AUTO", you will be asked if the dithering has already settled down or not after each shift of the beam spot and you can let the scripts wait until the dithering settles down sufficiently. If you add "AUTO", it will be judged if the dithering has settled down or not according to some criteria, and the measurement will continue without your response to the terminal.
The files to be created in the current directory by the scripts are:
- lossmapETMX1-1.txt # [POX power (locked)] / [POX power (misaligned)]
- lossmapETMX1-2.txt # standard deviation of [POX power (locked)] / [POX power (misaligned)]
- lossmapETMX1-3.txt # TRX
- lossmapETMX1-1_converted.txt # round trip loss (ppm) calculated from lossmapETMX1-1.txt
- lossmapETMX1-1_converted_sigma.txt # standard deviation of round trip loss calculated from 1-1.txt and 1-2.txt
- lossmapETMX_result.txt # round trip loss and its error in a clear form.
The name of the files would be "lossmapITMY1-1.txt" etc. depending on which mirror you have chosen.
To restart measurement from a certain point
Run the following command in a directory containing "lossmap(mirror name)1-1.txt", "lossmap(mirror name)1-2.txt" and "lossmap(mirrorname)1-3.txt" which are created by previous not-completed measurement:
> python /opt/rtcds/caltech/c1/scripts/lossmap_scripts/lossmap.py [maximum shift in mm (PIT)] [maximum shift in mm (YAW)] [arm name (XorY)] [mirror name (E or I)] [restart point (PIT)] [restart point (YAW)]
You can also add "AUTO".
How to designate the restart point:
Matrix elements of output of this measurement procedure are characterized by a pair of two numbers as the following shows.
(-1,-1) -> (-1,-0.5) -> (-1,0) -> (-1,0.5) -> (-1,1)
(-0.5,1) <- (-0.5,0.5) <- (-0.5,0) <- (-0.5,-0.5) <- (0.5,-1)
(0,-1) -> (0,-0.5) -> (0,0) -> (0,0.5) -> (0,1)
(0.5,1) <- (0.5,0.5) <- (0.5,0) <- (0.5,-0.5) <- (0.5,-1)
(1,-1) -> (1,-0.5) -> (1,0) -> (1,0.5) -> (1,1)
Please write the numbers that correspond to the matrix element you want to restart at. Arrows show the order of sequence of measurement. About the correspondence between the matrix elements and real position on the ETMY and ETMX, see elog 11818 and 11857, respectively.
This script will overwrite the files (~1-1.txt etc.) so it is safer to make backup of the files before you run this script.
Some notes on the scripts and measurement
- Calibration has been done only for ETMs, i.e. for ITMs unit of [maximum shift] is not mm, but the values written in [maximum shift] equal to the maximum offsets added just after demodulation of ASS loop (ex. C1:ASS-YARM_ITM_PIT_L_DEMOD_I_OFFSET).
- It should be checked before doing measurement if the following parameters are correct or not.
POXzero (L47 in lossmapx.py and L52 in lossmapx_resume.py: the value of C1:LSC-POXDC_OUTPUT when no light injects into POXPD.)
POYzero (L45 in lossmapy.py and L50 in lossmapy_resume.py: the value of C1:LSC-POYDC_OUTPUT when no light injects into POYPD.)
mmr (L11 in lossmap_convert.py: (mode matching carrier power)/(total power))
Tf (L12 in lossmap_convert.py; transmittivity of ITM)
Tetm (L13 in lossmap_convert.py: transmittivity of ETM in ppm)
- Changing n (L50 in lossmap.py) from 5 to 3, the grid points will be 3x3 changed from the default value of 5x5. If 3x3, the matrix elements are characterized by
(-1,-1) -> (-1,0) -> (-1,1)
(0,1) <- (0,0) <- (0,-1)
(1,-1) -> (1,0) -> (1,1)
similarly to the case of 5x5.
- You can copy the directory lossmap_scripts anywhere in controls and use it. These scripts will work as long as all the 7 scripts exist in a same directory.
I estimated power recycling gain with the results of arm loss measurement.
From elog 11818 and 11857, round trip losses including transmittivity of ETM of Y arm and X arm (let us call them and ) are 229+13.7=243 ppm and 483+13.7=495 ppm, respectively.
How I calculated:
I used the following formula.
Amplitude reflectivity of an arm cavity :
(see elog 11816)
Amplitude reflectivity of FPMI :
With power transmittivity of PRM and amplitude reflectivity of PRM , power recycling gain is
I assumed , , and , and then I got
PRG = 9.8.
Since both round trip losses have relative error of ~ 4 % and PRG is proportional to inverse square of up to the leading order of it, relative error of PRG can be estimated as ~ 8 %, so PRG = 9.8 +/- 0.8.
According to elog 11691, which says TRX and TRY level was ~125 when DRFPMI was locked, power recycling gain was at the last DRFPMI lock.
Measured PRG is lower than PRG estimated here, but it is natural because various causes such as mode mismatch between PRC mode and arm cavity mode, imperfect contrast of FPMI, and so on could decrease PRG, which Eric suggested to me.
Added on Dec 9
If were as small as , PRG would be 16.0. PRC would be still under coupled.
I did additional tests for the strange behavior of ASCD. ETMY, ETMX and ITMY were misaligned so that only light reflected by ITMX went into AS port. I had done similar measurement before with ITMY YAW varied.
Attachment 1 shows how ASDC level changed when ITMX PIT varied.
Attachment 2 shows how ASDC level changed when ITMX YAW varied.
Attachment 3 shows how the power of light measured by a power meter just after the AS view port varied when ITMX YAW varied.
Comparing 1 & 2, we can say that this behavior is not unique to YAW direction.
From 2 & 3, we can say something strange is happening inside the chamber.
To check if the strange behavior of ASDC is caused by SR2/SR3 or not, I did the following measurement:
ASDC measures the power of the light reflected by ITMX. POXDC measures the power of the light reflected by ITMX and SRM successively. Then I varied the angle of ITMX in YAW direction and compared the behaviors of ASDC and POXDC.
The results are shown in Attachments 1-3.
As you can see in these figures, the strange up-and-down behavior appeared ONLY in ASDC. Therefore, the cause of this behavior exists between AS table and SRM (I had confirmed that the angle of SRM did not affect ASDC).
And this behavior is fringe-like, as can be seen in the figures (there seems to be 3 "peaks" and 2 "valleys"), so the cause could be interference between main path and not good AR reflection at a mirror after SRM before AS table (I suspect a mirror is flipped mistakenly).
I took PR3 AR reflectivity and calculated PRG (PR3 is flipped and so AR surface is inside PRC).
As shown in attached figure, which shows AR specification of the LaserOptik mirror (PR3 is this mirror), AR reflectivity of PR3 is ~0.5 %. Since resonant light in PRC goes through AR surface of PR3 4 times per round trip, round trip loss due to this is ~2 %. Then I got
PRG = 7.8.
Attached is the plot of relation between the average arm round trip loss and power recycling gain. 2 % loss due to PR3 AR reflection is taken into account.
Based on calibration measurement I have done (elog 11785, 11831), I updated calibration factors of oplevs on medm screen as follows. Not to change loop gain oplev servo, I also changed oplev servo gain.
(45.1,16) => (200,3.5)
(85.6,8) => (222,3.0)
(26,-16) => (140,-3.0)
(31,-21) => (143,-4.5)
(110,8) => (122,7.2)
(81,-11) => (147,-6)
(159,15) => (239,10)
(174,-21) => (226,-16)