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yuta.michimura - 19:51 Monday 07 April 2025 (33283) Print this report
TMS power budget and polarization spectra

[M. Honjo, Michimura]

We have reduced the PD gains for TMSX and TMSY polarization monitor PDs to avoid saturation in 10 W PRFPMI operation.
Power at TMS PDs seems to have half the power than estimation for some reason (as was the case in 2018 and 2022).

Summary of PD whitening situations:
  X_IR_PDA1: 0 dB, no whitening gain, no whitening filters
  X_IRSPOL_PDA1: 0 dB (was 10 dB), no whitening gain, 2-stage whitening filter
  X_IRPPOL_PDA1: 10 dB (was 30 dB), no whitening gain, 2-stage whitening filter
  HWP angle: 20 deg
  Y_IR_PDA1: 0 dB, no whitening gain, no whitening filters
  Y_IRSPOL_PDA1: 0 dB (was 10 dB), no whitening gain, 2-stage whitening filter
  Y_IRPPOL_PDA1: 20 dB (was 30 dB), no whitening gain, 2-stage whitening filter
  HWP angle: 80 deg
  See klog #30902 for previous settings. Note that X and Y have different settings now.

Calibrated polarization spectra:
  - We calibrated measured spectra into polarization rotation angle using the factor described in klog #30885. But with following changes

if ARM=='X':
    PDp2Rad=1/(4*(300.7-16.3)*np.sin(4*np.deg2rad(20-10.1)))*10**(20./10)  # Calibration from klog #30113, but calibration was done in 30 dB, but now in 10 dB
    PDs2Rad=1/(4*(297.0-19.7)*np.sin(4*np.deg2rad(20-54.7)))*10**(30./20)  # Calibration from klog #30113, but calibration was done in 30 dB, but now in 0 dB
    PDp2Rad/=130*10.8/1.1/2  # 130 for PRFPMI instead of single arm, 10.8/1.1 for input power difference, 2 for installation of additional BS in TMS (klog #32183)
    PDs2Rad/=130*10.8/1.1/2
elif ARM=='Y':
    PDp2Rad=1/(4*(358.0-24.1)*np.sin(4*np.deg2rad(80-72.5)))*10**(10./20)  # Calibration from klog #30827, but calibration was done in 30 dB, but now in 20 dB
    PDs2Rad=1/(4*(352.0-24.2)*np.sin(4*np.deg2rad(80-117.4)))*10**(30./20) # Calibration from klog #30827, but calibration was done in 30 dB, but now in 0 dB
    PDp2Rad/=130*10.8/1.1/2
  # Same with X (klog #32181)
    PDs2Rad/=130*10.8/1.1/2 

See attached for the original data in counts and the calibrated data for X and Y.

TMS power budget:
  - Using the following, power transmitted from ETMX and ETMY would be 420 mW and 395 mW, respectively. Since we have 4 BSs to IR_PDA1 now (JGW-T1808962), power at IR_PDA1 would be 26.2 mW and 24.7 mW, respectively.

PIMC=10.8
PRG=13.0
BS=0.5
T_ITMX=0.444/100 # PhysRevApplied.14.014021
T_ETMX=6.8e-6  # PhysRevApplied.14.014021
T_ITMY=0.479/100  # PhysRevApplied.14.014021
T_ETMY=6.92e-6  # PhysRevApplied.14.014021
RTLX=50e-6  # Round-trip loss klog #30823
RTLY=60e-6

def cavitypowertransmission(T1,T2,L):
    L=L-T2   # Remove ETM transmission from round-trip loss
    t1=sqrt(T1)
    t2=sqrt(T2)
    r1=sqrt(1-T1)
    r2=sqrt(1-T2)
    rloss=sqrt(1-L)
    return (t1*t2)**2/(1-r1*r2*rloss)**2

T_XARM=cavitypowertransmission(T_ITMX,T_ETMX,RTLX)
T_YARM=cavitypowertransmission(T_ITMY,T_ETMY,RTLY)
P_TMSX=PIMC*PRG*BS*T_XARM
P_TMSY=PIMC*PRG*BS*T_YARM

 - During 10.8 W PRFPMI lock
K1:TMS-X_IR_PDA1_INMON = 10200 cnts
K1:TMS-Y_IR_PDA1_INMON = 9530
cnts
  These corresponds to 10.6 mW for X and 9.83 mW for Y, using 40/2**16 V/cnts, 1.5e3 Ohm transimpedance gain, and 0.39 A/W for PDA100A2. These are roughly a factor of 2.5 smaler than the estimated power above.

Past TMS power measurements and discussions:
  - According to measurements in October 2022 (klog #22456, klog #22339), power around RLNS2 was 529 uW for X and 480 for Y with 2.9 W input, single arm. For 2.9 W single arm, using T_PRM=0.135 (JGW-L1605744), they should be 1170 uW for X and 1100 uW for Y. Here, measured values are a factor of 2.2 smaller. Note that these measurements were done with a power meter. So, the discrepancy is consistent between power measurement methods.
  - This was also the case in December 2018 (klog #7415, klog #7419).
  - Note that all the calculations above assume 100% modematching of IMC transmission to the main IFO. This should be a good approximation due to DARM shot noise estimates and past modematching measurements.
  - We are consistently loosing half the power since 2018. Something inside BRT???

Next:
  - Redo polarization calibration under 10 W PRFPMI configuration
  - Set HWP angle to reasonable values and make PD gains same for X and Y

Images attached to this report
Comments to this report:
tomotada.akutsu - 20:32 Monday 07 April 2025 (33287) Print this report

The most direct way to investigate the mystery of the power discrepancy would be to measure the power right after the secondary lens, where the IR beam radius would be sufficiently shrinked, when the relevant chambers will be opened.

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