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Message ID: 5176     Entry time: Wed Aug 10 15:39:33 2011
Author: jamie 
Type: Update 
Category: SUS 
Subject: current SUS input diagonalization overview 

Below is the overview of all the core IFO suspension input diagonalizatidons.

Summary: ITMY, PRM, BS are really bad (in that order) and are our top priorities.

UPDATE:

I had originally put the condition number of the calculated input matrix (M) in the last column.  However, after some discussion we decided that this is not in fact what we want to look at.  The condition number of a matrix is unity if the matrix is completely diagonal.  However, even our ideal input matrix is not diagonal, so the "best" condition number for the input matrix is unclear.

What instead we do know is that the matrix, B, that describes the difference between the calculated input matrix, M, and the ideal input matrix, M0: should be diagonal (identity, in fact):

M = M0 B

B should be diagonal (identity, in fact), and it's condition number should ideally be 1.  So now we calculate B-1, since it can be calculated from the pre-inverted input matrix:

B-1 = M-1 * M0

From that we calculate cond(B) == cond(B-1).

cond(B) is our new measure of the "badness" of the OSEMS.

new summary: ITMY, PRM, BS are really bad (in that order) and are our top priorities.

 

TM    INPUT MATRIX (M)
 cond(M) cond(B)
 PRM PRM.png        pit     yaw     pos     side    butt
UL   -2.000  -2.000  -2.000  -0.345   2.097 
UR   -0.375  -0.227  -0.312  -0.060   0.247 
LR    1.060   1.075   0.971   0.143  -0.984 
LL   -0.565  -0.698  -0.717  -0.141   0.672 
SD    1.513   1.485   1.498   1.000  -1.590
 75.569 106.756
 SRM SRM.png  

      pit     yaw     pos     side    butt
UL    0.791   1.060   1.114  -0.133   1.026 
UR    1.022  -0.940   1.052  -0.061  -1.027 
LR   -0.978  -0.987   0.886  -0.031   0.903 
LL   -1.209   1.013   0.948  -0.103  -1.043 
SD    0.286   0.105   1.249   1.000   0.030

 2.6501 3.90776
 BS  BS.png  

      pit     yaw     pos     side    butt
UL    1.420   0.818  -0.069   0.352   1.038 
UR    0.276  -1.182   1.931  -0.217  -0.905 
LR   -1.724  -0.274   1.940  -0.254   0.862 
LL   -0.580   1.726  -0.060   0.315  -1.194 
SD    0.560   0.171  -3.535   1.000   0.075 

9.8152 7.28516
ITMX ITMX.png       pit     yaw     pos     side    butt
UL    0.437   1.015   1.050  -0.065   0.714 
UR    0.827  -0.985   1.129  -0.221  -0.957 
LR   -1.173  -1.205   0.950  -0.281   1.245 
LL   -1.563   0.795   0.871  -0.125  -1.084 
SD   -0.581  -0.851   2.573   1.000  -0.171 
 4.08172 4.69811
 ITMY  ITMY.png  

      pit     yaw     pos     side    butt
UL    0.905  -0.884  -0.873   0.197   0.891 
UR   -1.095   1.088   1.127  -0.252  -1.115 
LR   -0.012  -0.028   0.002   0.001   0.030 
LL    1.988  -2.000  -1.998   0.451   1.964 
SD    4.542  -4.608  -4.621   1.000   4.517 

 801.453 774.901
 ETMX  ETMX.png        pit     yaw     pos     side    butt
UL    0.344   0.475   1.601   0.314   1.043 
UR    0.283  -1.525   1.786  -0.071  -1.181 
LR   -1.717  -1.569   0.399  -0.102   0.938 
LL   -1.656   0.431   0.214   0.283  -0.837 
SD    0.995  -2.632  -0.999   1.000  -0.110 
 4.26181 4.33518
 ETMY  ETMY.png        pit     yaw     pos     side    butt
UL   -0.212   1.272   1.401  -0.127   0.941 
UR    0.835  -0.728   1.534  -0.101  -1.054 
LR   -0.953  -1.183   0.599  -0.066   0.827 
LL   -2.000   0.817   0.466  -0.092  -1.177 
SD   -0.172   0.438   2.238   1.000  -0.008 
 4.04847 4.33725

 

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