CAL measurement plan for O4a

Table of Contents

1 measurement plan

  • Before and after observing run
    • Full procedure, [1-19], will be done as MICH, PRCL, and DARM calibration.
    • Only [1,2], [5-11] and [17-19] (totally 12 items) are enough for the DARM calibration by pcal and FSM.
  • During observing run
    • Only [8-11] (totally 4 items) will be done as the weekly DARM calibration by pcal.

1.1 Expected measurement time

Procedure meas. interval total
Full 285min. 95min. 380min.
only DARM 170min. 55min. 225min.
Weekly 85min. 15min. 100min.
  • Interval of each measurement is expected as ~5min.
  • If lockloss is occurred, loss-time is ~15min./lockloss.
    • Some of measurements must be done in a same locked segment.
    • So one lockloss may become ~hrs loss-time.
  • If initial alignment is needed, additional ~1.5hrs. is required.

1.2 Measurements items

No IFO EXC A B Results Memo Time
[1] FSM - LSC-REFL_PDA2_RF51_Q_ERR LSC-REFL_PDA2_DC_OUT C_mich   10min.
[2a] MICH LSC-MICH1_EXC LSC-MICH1_IN2 LSC-MICH1_IN1 -G_mich   15min.
[2b]     LSC-MICH_OUT LSC-MICH_IN1 -A_bs_full_mich * C_mich A_bs_full_mich = sqrt(2) * A_bs  
[2c]     LSC-MICH1_EXC LSC-MICH1_IN2 1 / (1 + G_mich)    
[3] MICH BS_TM_CAL_EXC BS_TM_CAL_EXC_OUT LSC-MICH_IN1 A_bs_tm_mich * C_mich / (1 + G_mich) A_bs_tm_mich = sqrt(2) * A_bs_tm 15min.
[4] MICH BS_IM_CAL_EXC BS_IM_CAL_EXC_OUT LSC-MICH_IN1 A_bs_im_mich * C_mich / (1 + G_mich) A_bs_im_mich = sqrt(2) * A_bs_im 20min.
[5] MICH ITMX_TM_CAL_EXC ITMX_TM_CAL_EXC_OUT LSC_MICH_IN1 A_itmx_tm_mich * C_mich / (1 + G_mich) A_itmx_tm_mich = A_itmx_tm 15min.
[6a] PRFPMI LSC-DARM1_EXC LSC-DARM1_IN2 LSC-DARM1_IN1 -G_DARM   15min.
[6b]     LSC-DARM_OUT LSC-DARM_IN1 -A_etmx_full_DARM * C_DARM A_etmx_full_DARM = -A_etmx  
[6c]     LSC-DARM1_EXC LSC-DARM1_IN2 1 / (1 + G_DARM)    
[7] PRFPMI ITMX_TM_CAL_EXC ITMX_TM_CAL_EXC_OUT LSC_DARM_IN1 A_itmx_tm_DARM * C_DARM / (1 + G_DARM) A_itmx_tm_DARM = -A_itmx_tm 15min.
[8] PRFPMI ETMX_TM_CAL_EXC ETMX_TM_CAL_EXC_OUT LSC_DARM_IN1 A_etmx_tm_DARM * C_DARM / (1 + G_DARM) A_etmx_tm_DARM = -A_etmx_tm 15min.
[9] PRFPMI ETMX_IM_CAL_EXC ETMX_IM_CAL_EXC_OUT LSC_DARM_IN1 A_etmx_im_DARM * C_DARM / (1 + G_DARM) A_etmx_im_DARM = -A_etmx_im 20min.
[10] PRFPMI ETMX_MN_CAL_EXC ETMX_MN_CAL_EXC_OUT LSC_DARM_IN1 A_etmx_mn_DARM * C_DARM / (1 + G_DARM) A_etmx_mn_DARM = -A_etmx_mn 20min.
[11] PRFPMI PCAL_EX_0_INJ_V_EXC K1:CAL-PCAL_EX_1_PD_RX_TOTAL_W LSC-DARM_IN1 A_pcal * C_DARM / (1 + G_DARM)   15min.
[12a] PRFPMI LSC-MICH1_EXC LSC-MICH1_IN2 LSC-MICH1_IN1 -G_MICH   15min.
[12b]     LSC-MICH_OUT LSC-MICH_IN1 -A_bs_full_MICH * C_MICH A_bs_full_MICH = sqrt(2) * A_bs  
[12c]     LSC-MICH1_EXC LSC-MICH1_IN2 1 / (1 + G_MICH)    
[13a] PRFPMI LSC-PRCL1_EXC LSC-PRCL1_IN2 LSC-PCRL1_IN1 -G_PRCL   15min.
[13b]     LSC-PRCL_OUT LSC-PRCL_IN1 -A_prm_full_PRCL * C_PRCL A_prm_full_PRCL = -A_prm  
[13c]     LSC-PRCL1_EXC LSC-PRCL1_IN2 1 / (1 + G_PRCL)    
[14] PRFPMI BS_TM_CAL_EXC BS_TM_CAL_EXC_OUT LSC_PRCL_IN1 A_bs_tm_PRCL * C_PRCL / (1 + G_PRCL) A_bs_tm_PRCL = -A_bs_tm / sqrt(2) 15min.
[15] PRFPMI PRM_TM_CAL_EXC PRM_TM_CAL_EXC_OUT LSC_PRCL_IN1 A_prm_tm_PRCL * C_PRCL / (1 + G_PRCL) A_prm_tm_PRCL = -A_prm_tm 15min.
[16] PRFPMI PRM_IM_CAL_EXC PRM_IM_CAL_EXC_OUT LSC_PRCL_IN1 A_prm_im_PRCL * C_PRCL / (1 + G_PRCL) A_prm_im_PRCL = -A_prm_im 20min.
[17] - - K1:IOP-EX1_ADC_DT K1:IOP-EX1_DAC_DT τ_A_dac   10min.
[18] - - K1:IOP-EX0_ADC_DT - τ_Px_adc   10min.
      K1:IOP-EY0_ADC_DT - τ_Py_adc    
[19] - - K1:IOP-OMC0_ADC_DT - τ_C_adc   10min.
      K1:IOP-LSC0_ADC_DT -      
  • Excitations from VIS-(optic)_TM_ISCINF_L_EXC is better than from LSC-(dof)_EXC for the OLTF measurements.
    • TF from VIS-(optic)_TM_ISCINF_L_EXC to LSC-(dof)_EXC represents A_optic * C_dof / (1 + G_dof)
  • Note
    • A_(optic)_full = VIS-(optic)_(stage)_ISCINF_L * \sum( VIS-(optic)_(stage)_LOCK_L * A_(optic)_(stage) )
    • A_pcal = 2 * P / (c * M * (2 * \pi * f)^2 )

1.3 Calculation

Params Free-Swinging Pcal
A_itmx_tm [5] / [2c] / [1] -[7] / [11] * A_pcal
A_etmx_tm [8] / [7] * A_itmx_tm -[8] / [11] * A_pcal
A_etmx_im [9] / [7] * A_itmx_tm -[9] / [11] * A_pcal
A_etmx_mn [10] / [7] * A_itmx_tm -[10] / [11] * A_pcal
C_DARM [6b] / (ISCINF * ∑(LOCK * A_etmx_(stage)) [11] / [6c] / A_pcal
A_bs_tm [3] / [2c] / [1] / sqrt(2) [3] / [5] * A_itmx_tm / sqrt(2)
A_bs_im [4] / [2c] / [1] / sqrt(2) [4] / [5] * A_itmx_im / sqrt(2)
C_MICH -[12b] / (ISCINF * ∑(LOCK * A_bs_(stage)) / sqrt(2) same on the left
A_prm_tm [15] / [14] * A_bs_tm / sqrt(2) same on the left
A_prm_im [16] / [14] * A_bs_tm / sqrt(2) same on the left
C_PRCL [13b] / (ISCINF * ∑(LOCK * A_prm_(stage)) same on the left

Date: 2023/01/02

Author: Takahiro Yamamoto

Created: 2023-04-10 Mon 16:36

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