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

Conference · Fri Jan 01 00:00:00 EST 1993

OSTI ID:7368635

Tang, Y N; Krinsky, S

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 equation 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.

• Research Organization: Brookhaven National Lab., Upton, NY (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7368635
• Report Number(s): BNL-49150; CONF-930511-257; ON: DE93017586
• Resource Relation: Conference: International particle accelerator conference, Washington, DC (United States), 17-20 May 1993
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
CORRECTIONS
DIFFERENTIAL EQUATIONS
NSLS
ORBITS
STORAGE RINGS
ACCELERATORS
CYCLIC ACCELERATORS
EQUATIONS
RADIATION SOURCES
SYNCHROTRON RADIATION SOURCES
SYNCHROTRONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics