Use of regularization method in the determination of ring parameters and orbit correction

Conference · Fri Aug 05 00:00:00 EDT 1994 · AIP Conference Proceedings (American Institute of Physics); (United States)

OSTI ID:7242015

Tang, Y N; Krinsky, S ^[1]

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1. National Synchrotron Light Source, Brookhaven National Laboratory, Upton, New York 11973 (United States)

We discuss applying the regularization method of Tikhonov to the solution of inverse problems arising in accelerator operations. This approach has been successfully used for orbit correction on the NSLS storage rings, and is presently being applied to the determination of betatron functions and phases from the measured response matrix. The inverse problem of differential equations often leads to a set of integral equations of the first kind which are ill-conditioned. The regularization method is used to combat the ill-posedness. Our approach has been demonstrated to be very effective, robust, and capable of predicting the residual orbit after corrections. [copyright] 1994 American Institute of Physics

• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7242015
• Report Number(s): CONF-931254-; CODEN: APCPCS
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (United States), Vol. 315:1; Conference: Orbit correction and analysis in circular accelerators workshop, Upton, NY (United States), 1-3 Dec 1993; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
CYCLIC ACCELERATORS
BEAM DYNAMICS
CORRECTIONS
GREEN FUNCTION
ORBITS
ACCELERATORS
FUNCTIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics