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Entry  Mon Jul 1 23:27:07 2013, Jenne, Update, LSC, Sensing Matrix vs. Xarm sweep 
    Reply  Tue Jul 2 02:29:47 2013, Jenne, Update, LSC, Sensing Matrix vs. Xarm sweep 
Message ID: 8788     Entry time: Mon Jul 1 23:27:07 2013     Reply to this: 8790
Author: Jenne 
Type: Update 
Category: LSC 
Subject: Sensing Matrix vs. Xarm sweep 

I have modeled the PRMI sensing matrix as I bring the Xarm into resonance.  In optickle, I have the PRMI on sideband resonance, the ETMY is artificially set to have a transmission of 1, and the ETMX has it's nominal transmission of 15ppm.  I start with the ETMX's microscopic position set to lambda/4 (antiresonant for IR in the arm), and take several steps until the ETMX's microscopic position is 0 (resonant for IR in the arm).

Xarm antiresonant:

Modeled sensing matrix, units = W/m, Offset = 2.66e-07, phase in degrees
 
            MICH Mag   MICH Phase    PRCL Mag   PRCL Phase  
AS55         3.348E+04   142.248      5.111E+03    70.571    
POX11        3.968E+01   -66.492      1.215E+04    54.312    
REFL11       3.231E+05    24.309      9.829E+07   144.311    
REFL165      9.946E+03  -159.540      4.540E+05   -64.710    
REFL33       1.963E+04  -168.530      1.573E+06    -2.744    
REFL55       1.160E+06    -6.755      5.429E+07    86.895 

 

Xarm resonant:

Modeled sensing matrix, units = W/m, Offset = 0, phase in degrees
 
            MICH Mag   MICH Phase    PRCL Mag   PRCL Phase  
AS55         1.647E+06    57.353      3.676E+06   -81.916    
POX11        3.927E+02  -118.791      2.578E+04  -102.158    
REFL11       7.035E+05    61.203      1.039E+08   167.149    
REFL165      1.602E+04  -144.586      5.971E+05   -49.802    
REFL33       2.157E+04   171.658      1.940E+06    -9.133    
REFL55       1.822E+06     7.762      6.900E+07   101.906 

 

For REFL55, the MICH magnitude increases by a factor of 1.6, while the PRCL  magnitude increases by 1.3 .  The MICH phase changes by 15 degrees, while the PRCL phase also changes by 15 degrees.  Just eye-balling (rather than calculating), the other REFL PDs look to have similar-ish magnitude and phase changes.  Certainly none of them are different by orders of magnitude.

Movies forthcoming.

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