Eigenvector method for optimized orbit correction

Conference · Fri Aug 05 04:00:00 EDT 1994 · AIP Conference Proceedings (American Institute of Physics); (United States)

OSTI ID:7242014

Friedman, A; Bozoki, E ^[1]

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

The response matrix [ital A] is defined by the equation [ital [rvec X]]=[ital A][rvec ]gQ, where [rvec ]gQ is the kick vector and [ital [rvec X]] is the resulting orbit vector. Since [ital A] is not necessarily a symmetric or even a square matrix we symmetrize it by using [ital A][sup [ital T]] [ital A]. Then we find the eigenvalues and eigenvectors of this [ital A][sup [ital T]] [ital A] matrix. The physical interpretation of the eigenvectors for circular machines is discussed. [copyright] 1994 American Institute of Physics

• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7242014
• Report Number(s): CONF-931254--
• Conference Information: Journal Name: AIP Conference Proceedings (American Institute of Physics); (United States) Journal Volume: 315:1
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
ACCELERATORS
BEAM POSITION
CORRECTIONS
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EIGENVECTORS
NSLS
ORBIT STABILITY
RADIATION SOURCES
STABILITY
STORAGE RINGS
SYNCHROTRON RADIATION SOURCES
SYNCHROTRONS