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Introduction
Cornell Stanford Pixel Array Detector (CSPAD) is a X-ray imaging detector made of silicon sensors (2x1) covering about 20x20cm² surface, as shown in the plot:
Although pixel coordinates in 2x1 sensor are known with sub-micrometer precision, construction of the detector allows significant freedom in relative positions of 2x1 sensors. To get precise measurement the 2x1 sensor coordinates needs to be calibrated. In this note we describe geometry of the CSPAD detector, alignment procedure, parameters, and software providing access to precise geometry information.
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Quality check parameters for the perfect measurementgeometry:
S1=S2, L1=L2 - the 2x1 sides should have equal length and width,
D1=D2 - the 2x1 diagonals should be equal,
dS1 = dS2 = 2dS2 ? (388/185)*dL1 = 2(388/185)*dL2 - tilt angle should provide consistent deviation for all corners,
dD=0, d(dS)=0, and d(dL)=0 - within precision of measurement.
Everything, excluding <dS/L> and angle(deg), are in micrometers.
Example of the table with quality check results:
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pair: S1 S2 dS1 dS2 L1 L2 dL1 dL2 <dS/L> angle(deg) D1 D2 dD d(dS) d(dL) Quad 0 pair: 0 20891 20913 200 222 43539 43541 -102 -100 0.00485 0.27766 48298 48297 1 -22 -2 pair: 1 20910 20894 293 277 43540 43535 -127 -132 0.00655 0.37506 48302 48289 13 16 5 pair: 2 20890 20906 99 83 43536 43536 42 42 0.00209 0.11976 48290 48293 -3 16 0 pair: 3 20897 20895 131 133 43545 43543 65 63 0.00303 0.17369 48299 48297 2 -2 2 pair: 4 20911 20896 -30 -45 43549 43547 17 15 -0.00086 -0.04934 48303 48306 -3 15 2 pair: 5 20901 20898 10 7 43540 43544 -8 -4 0.00020 0.01119 48296 48299 -3 3 -4 pair: 6 20904 20903 104 105 43536 43540 55 59 0.00240 0.13752 48302 48290 12 -1 -4 pair: 7 20901 20901 -7 -7 43545 43543 -3 -5 -0.00016 -0.00921 48299 48301 -2 0 2 Quad 1 pair: 0 20913 20914 -343 -342 43540 43550 165 175 -0.00787 -0.45066 48313 48303 10 -1 -10 pair: 1 20898 20901 -145 -142 43548 43551 62 65 -0.00330 -0.18880 48300 48309 -9 -3 -3 pair: 2 20895 20903 -151 -159 43535 43532 -74 -77 -0.00356 -0.20400 48289 48291 -2 8 3 pair: 3 20872 20909 -35 -72 43541 43554 -37 -24 -0.00123 -0.07039 48294 48303 -9 37 -13 pair: 4 20940 20904 -455 -491 43527 43554 214 241 -0.01086 -0.62242 48309 48309 0 36 -27 pair: 5 20910 20903 -302 -309 43546 43546 145 145 -0.00702 -0.40196 48304 48307 -3 7 0 pair: 6 20901 20919 -421 -439 43529 43539 -213 -203 -0.00988 -0.56593 48296 48298 -2 18 -10 pair: 7 20907 20907 -452 -452 43548 43539 -201 -210 -0.01038 -0.59475 48315 48294 21 0 9 Quad 2 pair: 0 20914 20914 -25 -25 43536 43540 10 14 -0.00057 -0.03290 48300 48300 0 0 -4 pair: 1 20901 20897 7 3 43546 43536 -1 -11 0.00011 0.00658 48293 48300 -7 4 10 pair: 2 20899 20903 -256 -260 43533 43539 -127 -121 -0.00593 -0.33954 48293 48294 -1 4 -6 pair: 3 20912 20904 -210 -202 43540 43547 -106 -99 -0.00473 -0.27106 48300 48306 -6 -8 -7 pair: 4 20910 20903 -543 -550 43535 43536 261 262 -0.01255 -0.71923 48298 48299 -1 7 -1 pair: 5 20904 20905 -241 -240 43538 43544 111 117 -0.00552 -0.31647 48298 48301 -3 -1 -6 pair: 6 20903 20902 21 22 43539 43543 8 12 0.00049 0.02829 48298 48298 0 -1 -4 pair: 7 20902 20903 82 81 43546 43547 35 36 0.00187 0.10723 48300 48306 -6 1 -1 Quad 3 pair: 0 20902 20898 -82 -86 43536 43543 30 37 -0.00193 -0.11054 48289 48302 -13 4 -7 pair: 1 20900 20904 79 83 43548 43541 -35 -42 0.00186 0.10658 48301 48301 0 -4 7 pair: 2 20912 20894 181 199 43536 43535 97 96 0.00436 0.25005 48298 48289 9 -18 1 pair: 3 20912 20905 119 126 43539 43538 57 56 0.00281 0.16121 48296 48301 -5 -7 1 pair: 4 20894 20912 -454 -436 43534 43545 212 223 -0.01022 -0.58560 48303 48296 7 -18 -11 pair: 5 20906 20919 -336 -323 43527 43535 155 163 -0.00757 -0.43369 48295 48294 1 -13 -8 pair: 6 20902 20905 -203 -206 43537 43525 -89 -101 -0.00470 -0.26916 48293 48287 6 3 12 pair: 7 20900 20897 -140 -137 43539 43544 -68 -63 -0.00318 -0.18225 48298 48296 2 -3 -5 |
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