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Perturbation analysis of the octupole-induced resonances in a storage ring [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 1988.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
14 pages : digital, PDF file
Additional Creators
Argonne National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
This note is a continuation from LS-126, in which the authors derived a formula for the lowest-order amplitude-dependent tune shift for octupole-induced resonances. Here, the authors apply the canonical perturbation theory to the octupolar Hamiltonian and attempt to extend the analysis further in order to obtain much clearer insight on the octupole-induced resonances. The authors derive the distortion functions, which measure the distortions of the particle oscillation phase and amplitude in phase space. Based upon these distortion functions, they derive the higher-order amplitude-dependent tune shifts for octupoles.
Report Numbers
E 1.99:ls--127(anl)
ls--127(anl)
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
10/01/1988.
"ls--127(anl)"
"DE96015205"
Yoon, M.
Funding Information
W-31109-ENG-38
View MARC record | catkey: 14693225