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Entry  Mon Apr 2 18:24:34 2012, keiko, Update, LSC, RAM simulation for Full ifo 
    Reply  Tue Apr 3 01:52:15 2012, Zach, Update, LSC, RAM simulation for Full ifo 
       Reply  Tue Apr 3 14:11:33 2012, keiko, Update, LSC, RAM simulation for Full ifo 
    Reply  Tue Apr 3 14:17:18 2012, keiko, Update, LSC, RAM simulation for Full ifo flowchart.png
       Reply  Tue Apr 3 15:50:58 2012, keiko, Update, LSC, RAM simulation for Full ifo 
          Reply  Tue Apr 3 22:50:37 2012, keiko, Update, LSC, RAM simulation for Full ifo 
             Reply  Wed Apr 4 23:57:35 2012, keiko, Update, LSC, RAM simulation for Full ifo 
                Reply  Sat Apr 7 00:31:12 2012, keiko, Update, LSC, RAM simulation for Full ifo plot4a.pngplot4b.png
Message ID: 6481     Entry time: Tue Apr 3 14:17:18 2012     In reply to: 6475     Reply to this: 6482
Author: keiko 
Type: Update 
Category: LSC 
Subject: RAM simulation for Full ifo 

I add a flow-chart drawing what the scripts do and how the scripts calculate the LSC matrix.

flowchart.png

 

(1) First, you calculate the LSC matrix WITHOUT RAM or anything, just for a reference. This is the first matrix shown in the quoted post.

(2) The script calculates the LSC matrix with RAM. Also, the heterodyne signals for all 5 DoF are calculated. The signals have offsets due to the RAM effect. The operating position offsets are saved for the next round.

(3) The script calculates the LSC matrix again, with RAM plus the offset of the operation points. The matrix is shown in the last part of the quoted post.

 

Now I am going to check (A) LSC matrices (matrix 2, the second matrix of above chart) with different RAM levels (B) Are pos-offsets degrade the CARM and DARM so much (See, the quated result below), is that true?

Quote:

Original matrix without RAM:

REFL f1 : 1.000000    0.000000    0.000008    -0.000005    0.000003 

  AS f2 : 0.000001    1.000000    0.000005    -0.003523    -0.000001 

 POP f1 : -3956.958708    -0.000183    1.000000    0.019064    0.000055 

 POP f2 : -32.766392    -0.154433    -0.072624    1.000000    0.024289 

 POP f2 : 922.415913    -0.006625    1.488912    0.042962    1.000000 

 

(MICH and SRCL uses the same sensor, with optimised demodulation phase for each DoF.) 

Operation position offsets are:

PRCL   -3.9125e-11 m

SRCL    9.1250e-12 m

CARM  5.0000e-15 m  

and no position offsets for DARM and MICH (because they are differential sensor and not affected by RAM offsets).

 

Resulting matrix with RAM + RAM offsets, normalised by the original matrix:  

REFL f1 : 0.001663    -0.000000    0.003519    0.000005    -0.000003 

  AS f2 : 0.000004    0.514424    0.000004    -0.001676    -0.000001 

 POP f1 : 7.140984    -0.001205    15.051807    0.019254    0.000417 

 POP f2 : 0.029112    -0.319792    0.042583    1.000460    0.024298 

 POP f2 : -0.310318    -0.014385    -1.761519    0.043005    0.999819 

 

 

 

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