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Optimization of Rotation Alignment in DSSD Systems: A Case Study from Tohoku University

This document explores the challenges of optimizing rotations in DSSD systems, specifically addressing problems with X-Xt and Y-Yt not being optimized simultaneously. Proposed solutions include rotating detectors in the XY and XZ planes, with detailed calculations and alignments aimed at improving the Y direction's resolution. The analysis further delves into the implications of these adjustments on the overall alignment of detectors A, B, and C, employing minimum square methods to assess the Y residuals of APV.

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Optimization of Rotation Alignment in DSSD Systems: A Case Study from Tohoku University

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  1. Beam test -Dec 2005- Tohoku university Nobuhiro Tani 05 July 2006

  2. Try to solve the problem • Problems of last week X-Xt & Y-Yt are not optimized at same rotation → Solution1 ? : rotate dssdC in xy-plain Solution2 ? : rotate dssdB in xz-plain

  3. rotate dssdC in xy-plain A B C αc dssdC is rotated from -2m(rad) to +2m(rad) and then optimise the y-yt by the rotation of dssdB

  4. rotate dssdC in xy-plain +2m rotation -2m rotation It dose not solve the problem…

  5. rotate dssdB in xz-plain • X’=Xcosβ+Xsinβ・ax • Y’=Y+Xsinβ・ay (a : AとCを結んだtrackの傾き) Z β X

  6. rotate dssdB in xz-plain －50m (rad) +50m (rad) It dose not solve the problem , too …

  7. Try to solve the problem • Problems of last week X-Xt & Y-Yt are not optimized at same rotation → Solution1 ? : rotate dssdC in xy-plain Solution2 ? : rotate dssdB in xz-plain →There are no solution now.

  8. NEXT • まずAとCを結んだtrackを正しいとして、 BのY-Ytだけを最適化するようにBをalign →VA１のY方向の固有resolutionσVA1　がA,B,Cすべてで等しいとすると σY-Yt＝sqrt[1+{(z1-z0)2+(z2-z1)2}/(z2-z0)2]・σVA1 → σVA1 = 24.42/1.229 = 19.7μｍ • NEXT：VA1－A,B,Cを使った最小二乗法により trackを決めて、APVのYのresidualを見る

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