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Entry  Thu Aug 6 00:34:38 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 8x
    Reply  Fri Aug 7 11:23:47 2020, rana, Update, BHD, Monte Carlo Simulations 
       Reply  Mon Aug 10 07:13:00 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 8x
          Reply  Tue Aug 25 05:51:29 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 8x
             Reply  Mon Sep 14 07:50:01 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 10x
                Reply  Fri Oct 16 09:16:37 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 8x
                   Reply  Thu Oct 22 11:48:08 2020, Yehonathan, Update, BHD, Monte Carlo Simulations 8x
                      Reply  Thu Dec 10 14:48:00 2020, Yehonathan, Update, BHD, Monte Carlo Simulations MCMCLance_NoiseBudget_Example.pdfIFO_Check.pdf
                         Reply  Fri Dec 11 09:28:52 2020, rana, Update, BHD, Monte Carlo loop coupling Simulations 
                            Reply  Mon Dec 14 11:09:28 2020, Yehonathan, Update, BHD, Monte Carlo loop coupling Simulations MCMC_LANCE_OLTFs.pdfMCMC_LANCE_OLCoupling2DARM.pdf
                               Reply  Mon Jan 11 16:11:51 2021, Yehonathan, Update, BHD, Monte Carlo loop coupling Simulations MC_LANCE_OLTFs.pdf
                                  Reply  Mon Jan 11 19:10:10 2021, rana, Update, BHD, Monte Carlo loop coupling Simulations 
Message ID: 15507     Entry time: Thu Aug 6 00:34:38 2020     Reply to this: 15509
Author: Yehonathan 
Type: Update 
Category: BHD 
Subject: Monte Carlo Simulations 

I've pushed an MCMC simulation to the A+ BHD repo (filename MCMC_TFs.ipynb). The idea is to show how random offsets around ideal IFO change the noise couplings of different DOFs to readout.

At each step of the simulation:

1. Random offsets for the different DOFs are generated from a normal distribution. The RMSs are taken from experimental data and some guesses and can be changed later. The laser frequency is tuned to match the CARM offset.

These are the current RMS detunings I use:

DOF RMS Taken from
DARM 10fm PHYSICAL REVIEW D 93, 112004 (2016), Table 2
CARM 1fm PHYSICAL REVIEW D 93, 112004 (2016), Table 2
MICH 3pm PHYSICAL REVIEW D 93, 112004 (2016), Table 2
PRCL 1pm PHYSICAL REVIEW D 93, 112004 (2016), Table 2
SRCL 10pm PHYSICAL REVIEW D 93, 112004 (2016), Table 2
OMCL 0.1pm Guess
OMC Breadboard angle 1\mu rad Guess
Differential arm loss 15ppm Guess
BHD BS imbalance 10% Guess
OMC finesse imbalance 5ppm Guess

2. A transfer function is computed for the noisy DOFs.

3. Projected noise is calculated.

These are the noise level for the DOFs:

DOF Noise Taken from
MICH 2e-16 m PHYSICAL REVIEW D 93, 112004 (2016), Fig 9
PRCL 0.5e-17 m PHYSICAL REVIEW D 93, 112004 (2016), Fig 9
SRCL 5e-16 PHYSICAL REVIEW D 93, 112004 (2016), Fig 9
OMCL 2.5e-17*(100/f)^(1/2) LIGO-G1800149
OMC Breadboard angle 1nrad Guess
RIN 2e-9 Optics Letters Vol. 34, Issue 19, pp. 2912-2914 (2009)

 

The attachments show the projected noise levels for the noisy DOFs. Each curve is a different instance of random offsets. The ideal case - "zero offsets" is also shown.

OMC Comm and OMC diff refer to the common and differential length change of the OMCs.

Attachment 1: MICH_Aplus_MCMC.pdf  31 kB  Uploaded Thu Aug 6 02:07:01 2020  | Hide | Hide all
MICH_Aplus_MCMC.pdf
Attachment 2: PRCL_Aplus_MCMC.pdf  37 kB  Uploaded Thu Aug 6 02:08:03 2020  | Hide | Hide all
PRCL_Aplus_MCMC.pdf
Attachment 3: SRCL_Aplus_MCMC.pdf  39 kB  Uploaded Thu Aug 6 02:09:53 2020  | Hide | Hide all
SRCL_Aplus_MCMC.pdf
Attachment 4: OMC_Comm_Aplus_MCMC.pdf  38 kB  Uploaded Thu Aug 6 02:10:34 2020  | Hide | Hide all
OMC_Comm_Aplus_MCMC.pdf
Attachment 5: OMC_Diff_Aplus_MCMC.pdf  39 kB  Uploaded Thu Aug 6 02:11:07 2020  | Hide | Hide all
OMC_Diff_Aplus_MCMC.pdf
Attachment 6: OMC_Angle_Yaw_Aplus_MCMC.pdf  38 kB  Uploaded Thu Aug 6 02:12:22 2020  | Hide | Hide all
OMC_Angle_Yaw_Aplus_MCMC.pdf
Attachment 7: OMC_Angle_Pitch_Aplus_MCMC.pdf  37 kB  Uploaded Thu Aug 6 02:13:01 2020  | Hide | Hide all
OMC_Angle_Pitch_Aplus_MCMC.pdf
Attachment 8: L0_RIN_Aplus_MCMC.pdf  37 kB  Uploaded Thu Aug 6 02:13:18 2020  | Hide | Hide all
L0_RIN_Aplus_MCMC.pdf
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