Resolution and systematic limitations in beam-based alignment
Beam-based alignment of quadrupoles by variation of quadrupole strength is a widely used technique in accelerators today. We describe the dominant systematic limitation of such algorithms, which arises from the change in the center position of the quadrupole as the strength is varied, and derive exp...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
American Physical Society
2000-05-01
|
Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.3.052801 |
_version_ | 1819107254771646464 |
---|---|
author | P. Tenenbaum T. O. Raubenheimer |
author_facet | P. Tenenbaum T. O. Raubenheimer |
author_sort | P. Tenenbaum |
collection | DOAJ |
description | Beam-based alignment of quadrupoles by variation of quadrupole strength is a widely used technique in accelerators today. We describe the dominant systematic limitation of such algorithms, which arises from the change in the center position of the quadrupole as the strength is varied, and derive expressions for the resulting error. In addition, we derive an expression for the statistical resolution of such techniques in a periodic transport line, given knowledge of the line's transport matrices, the resolution of the beam position monitor system, and the details of the strength variation procedure. These results are applied to the Next Linear Collider main linear accelerator, an 11 km accelerator containing 750 quadrupoles and 5 000 accelerator structures. We find that, in principle, a statistical resolution of 1μm is easily achievable, but the systematic error due to variation of the magnetic centers could be several times larger. |
first_indexed | 2024-12-22T02:51:07Z |
format | Article |
id | doaj.art-7ab36a3a0a374d3ca9332105cda49f0f |
institution | Directory Open Access Journal |
issn | 1098-4402 |
language | English |
last_indexed | 2024-12-22T02:51:07Z |
publishDate | 2000-05-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Special Topics. Accelerators and Beams |
spelling | doaj.art-7ab36a3a0a374d3ca9332105cda49f0f2022-12-21T18:41:23ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022000-05-013505280110.1103/PhysRevSTAB.3.052801Resolution and systematic limitations in beam-based alignmentP. TenenbaumT. O. RaubenheimerBeam-based alignment of quadrupoles by variation of quadrupole strength is a widely used technique in accelerators today. We describe the dominant systematic limitation of such algorithms, which arises from the change in the center position of the quadrupole as the strength is varied, and derive expressions for the resulting error. In addition, we derive an expression for the statistical resolution of such techniques in a periodic transport line, given knowledge of the line's transport matrices, the resolution of the beam position monitor system, and the details of the strength variation procedure. These results are applied to the Next Linear Collider main linear accelerator, an 11 km accelerator containing 750 quadrupoles and 5 000 accelerator structures. We find that, in principle, a statistical resolution of 1μm is easily achievable, but the systematic error due to variation of the magnetic centers could be several times larger.http://doi.org/10.1103/PhysRevSTAB.3.052801 |
spellingShingle | P. Tenenbaum T. O. Raubenheimer Resolution and systematic limitations in beam-based alignment Physical Review Special Topics. Accelerators and Beams |
title | Resolution and systematic limitations in beam-based alignment |
title_full | Resolution and systematic limitations in beam-based alignment |
title_fullStr | Resolution and systematic limitations in beam-based alignment |
title_full_unstemmed | Resolution and systematic limitations in beam-based alignment |
title_short | Resolution and systematic limitations in beam-based alignment |
title_sort | resolution and systematic limitations in beam based alignment |
url | http://doi.org/10.1103/PhysRevSTAB.3.052801 |
work_keys_str_mv | AT ptenenbaum resolutionandsystematiclimitationsinbeambasedalignment AT toraubenheimer resolutionandsystematiclimitationsinbeambasedalignment |