STI Publications - View Publication Form #998

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Publication Information
Title Betatron Motion with Coupling of Horizontal and Vertical Degrees of Freedom
Abstract The Courant-Snyder parameterization of one-dimensional linear betatron motion is generalized to two-dimensional coupled linear motion. To represent the 4 x 4 symplectic transfer matrix the following ten parameters were chosen: four beta-function, four alpha-functions and two betatron phase advances. The beta-functions have a meaning similar to the Courant-Snyder parameterization, and the definition of alpha-functions coincides with the standard one at regions with zero longitudinal magnetic field, where they are equal to negative half-derivatives of the beta-functions. Such a parameterization can be useful for analysis of coupled betatron motion in circular machines and transfer lines.
Author(s) Valeri Lebedev, Alex Bogacz
Publication Date July 2001
Document Type Proceedings
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation / /
Funding Source
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-ACC-99-19 OSTI Number:
LANL Number: Other Number: DOE/ER/40150-1275
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Proceedings
Title Proceedings of Snowmass 2001
Editor(s) Norman Graf
Publisher SLAC
Refereed Yes
Page Number T511
Year 2001
Attachments/Datasets/DOI Link
Document(s)
ACC99-19.pdf (STI Document)
Dataset(s) (none)
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