Optics Calibration: TgY Calibration

Progress:

1.) SVD method from ROOT is not good. It crashes, when matrix is to large
2.) Considered SVD method from Numerical Recipes in C. Now it works.
3.) So far made analysis with 300k data points (matrix size 300k x 40 )
4.) Analyzed 32 carbon-optics runs and compared the results
5.) First I considered consistent expansion to 4th order
6.) From the comparison of data 19 good matrix elements were extracted.
7.) Get slightly better results than before.

Search of "good" matrix elements:

Mean Value of parameter b0000 : 0.0240171 +/- 0.00130638, Relative Error: 5.43937 [%]
Mean Value of parameter b0001 : -2.75612 +/- 0.0856828, Relative Error: 3.10882 [%]
Mean Value of parameter b0002 : -2.00166 +/- 0.762326, Relative Error: 38.0846 [%]
Mean Value of parameter b0003 : -22.9125 +/- 16.0612, Relative Error: 70.098 [%]
Mean Value of parameter b0004 : 421.492 +/- 236.567, Relative Error: 56.1263 [%]
Mean Value of parameter b0010 : 0.989871 +/- 0.0279397, Relative Error: 2.82256 [%]
Mean Value of parameter b0011 : 1.33349 +/- 0.761873, Relative Error: 57.1338 [%]
Mean Value of parameter b0012 : 23.5048 +/- 22.1102, Relative Error: 94.0666 [%]
Mean Value of parameter b0013 : -681.829 +/- 391.642, Relative Error: 57.44 [%]
Mean Value of parameter b0020 : -0.225405 +/- 0.270186, Relative Error: 119.867 [%]
Mean Value of parameter b0021 : -7.63422 +/- 11.7761, Relative Error: 154.254 [%]
Mean Value of parameter b0022 : 447.929 +/- 289.021, Relative Error: 64.5237 [%]
Mean Value of parameter b0030 : 0.135625 +/- 2.5895, Relative Error: 1909.31 [%]
Mean Value of parameter b0031 : -133.826 +/- 112.593, Relative Error: 84.1339 [%]
Mean Value of parameter b0040 : 11.3009 +/- 23.5378, Relative Error: 208.282 [%]
Mean Value of parameter b0100 : 0.0236774 +/- 0.0176855, Relative Error: 74.6935 [%]
Mean Value of parameter b0101 : -0.159949 +/- 0.692566, Relative Error: 432.991 [%]
Mean Value of parameter b0102 : -9.16045 +/- 8.30126, Relative Error: 90.6207 [%]
Mean Value of parameter b0103 : 90.8556 +/- 107.98, Relative Error: 118.847 [%]
Mean Value of parameter b0110 : 0.702143 +/- 0.293615, Relative Error: 41.817 [%]
Mean Value of parameter b0111 : 9.76836 +/- 9.52784, Relative Error: 97.5377 [%]
Mean Value of parameter b0112 : -147.604 +/- 216.011, Relative Error: 146.345 [%]
Mean Value of parameter b0120 : -3.58414 +/- 4.34543, Relative Error: 121.24 [%]
Mean Value of parameter b0121 : 112.877 +/- 182.928, Relative Error: 162.059 [%]
Mean Value of parameter b0130 : -41.1181 +/- 62.4699, Relative Error: 151.928 [%]
Mean Value of parameter b0200 : 0.0612405 +/- 0.141893, Relative Error: 231.698 [%]
Mean Value of parameter b0201 : -1.10843 +/- 3.59397, Relative Error: 324.241 [%]
Mean Value of parameter b0202 : 14.5754 +/- 97.8393, Relative Error: 671.262 [%]
Mean Value of parameter b0210 : 1.66277 +/- 2.15258, Relative Error: 129.458 [%]
Mean Value of parameter b0211 : -15.4308 +/- 144.27, Relative Error: 934.948 [%]
Mean Value of parameter b0220 : 3.37345 +/- 37.8846, Relative Error: 1123.02 [%]
Mean Value of parameter b0300 : -0.0372498 +/- 0.320847, Relative Error: 861.339 [%]
Mean Value of parameter b0301 : 5.20542 +/- 22.6419, Relative Error: 434.968 [%]
Mean Value of parameter b0310 : -3.15519 +/- 6.12801, Relative Error: 194.22 [%]
Mean Value of parameter b0400 : 0.12193 +/- 1.87129, Relative Error: 1534.72 [%]
Mean Value of parameter b1000 : -0.0026648 +/- 0.00874844, Relative Error: 328.297 [%]
Mean Value of parameter b1001 : 0.0407426 +/- 0.349458, Relative Error: 857.72 [%]
Mean Value of parameter b1002 : 3.13526 +/- 3.07054, Relative Error: 97.9359 [%]
Mean Value of parameter b1003 : -29.4313 +/- 42.2678, Relative Error: 143.615 [%]
Mean Value of parameter b1010 : -0.314289 +/- 0.120564, Relative Error: 38.3609 [%]
Mean Value of parameter b1011 : -4.24065 +/- 3.62824, Relative Error: 85.5586 [%]
Mean Value of parameter b1012 : 54.1396 +/- 84.182, Relative Error: 155.49 [%]
Mean Value of parameter b1020 : 1.79018 +/- 1.76426, Relative Error: 98.5523 [%]
Mean Value of parameter b1021 : -53.6399 +/- 72.9707, Relative Error: 136.038 [%]
Mean Value of parameter b1030 : 23.5311 +/- 25.781, Relative Error: 109.561 [%]
Mean Value of parameter b1100 : 0.0119286 +/- 0.162634, Relative Error: 1363.4 [%]
Mean Value of parameter b1101 : 0.683557 +/- 1.81279, Relative Error: 265.2 [%]
Mean Value of parameter b1102 : -8.2078 +/- 51.7406, Relative Error: 630.384 [%]
Mean Value of parameter b1110 : -1.13184 +/- 1.17368, Relative Error: 103.697 [%]
Mean Value of parameter b1111 : 6.43599 +/- 70.5074, Relative Error: 1095.52 [%]
Mean Value of parameter b1120 : -1.48204 +/- 20.2732, Relative Error: 1367.93 [%]
Mean Value of parameter b1200 : 0.0930505 +/- 0.359093, Relative Error: 385.912 [%]
Mean Value of parameter b1201 : -4.70124 +/- 14.4517, Relative Error: 307.402 [%]
Mean Value of parameter b1210 : 3.98433 +/- 8.26118, Relative Error: 207.342 [%]
Mean Value of parameter b1300 : -0.20067 +/- 2.75092, Relative Error: 1370.87 [%]
Mean Value of parameter b2000 : -0.00174806 +/- 0.0448205, Relative Error: 2564.01 [%]
Mean Value of parameter b2001 : -0.209746 +/- 0.407886, Relative Error: 194.467 [%]
Mean Value of parameter b2002 : 1.97525 +/- 9.5339, Relative Error: 482.669 [%]
Mean Value of parameter b2010 : 0.271585 +/- 0.303006, Relative Error: 111.57 [%]
Mean Value of parameter b2011 : -0.00507727 +/- 9.45561, Relative Error: 186234 [%]
Mean Value of parameter b2020 : -0.46495 +/- 2.44828, Relative Error: 526.568 [%]
Mean Value of parameter b2100 : -0.0227494 +/- 0.24727, Relative Error: 1086.93 [%]
Mean Value of parameter b2101 : 0.568704 +/- 4.09916, Relative Error: 720.789 [%]
Mean Value of parameter b2110 : -1.43809 +/- 6.16176, Relative Error: 428.469 [%]
Mean Value of parameter b2200 : 0.0459208 +/- 2.23796, Relative Error: 4873.52 [%]
Mean Value of parameter b3000 : -0.0281203 +/- 0.0624705, Relative Error: 222.154 [%]
Mean Value of parameter b3001 : 0.656589 +/- 1.23685, Relative Error: 188.375 [%]
Mean Value of parameter b3010 : -0.29176 +/- 1.49578, Relative Error: 512.673 [%]
Mean Value of parameter b3100 : -0.0901149 +/- 1.19694, Relative Error: 1328.24 [%]
Mean Value of parameter b4000 : 0.0237296 +/- 0.232311, Relative Error: 978.993 [%]

Good matrix elements: (19)

The rest of matrix elements:

Comparison of Result

New (19ME):

Old (25ME):

dE/E Calibration

Progress:

1.) Different paddles see different sections of the bananna shape.
2.) Used different calibration techniques to align all the plots.
3.) Almost finished with the ADC calibration of the dE/E planes
4.) Need to apply some final corrections.

!!!! Paddle #23(Last Paddle) has to little events to be properly calibrated. Decided to leave this paddle out of the game!!!