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Longitudinal coupling impedance structure in terms of Green's functions

Author
Peierls, R. F.
Published
United States : [publisher not identified], 1976.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1976.
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
In discussing the longitudinal instability problem for a coasting beam in a conducting ring, an important consideration is the electromagnetic self-coupling of a particular frequency component of the beam due to the presence of the conducting walls. This is parametrized by the longitudinal coupling impedance, which is the average voltage change, per unit amplitude of beam current at this frequency, experienced by a beam particle in one turn. By using a more general formulation of the problem in terms of Green's functions instead of electric fields, it is possible to understand the origins of these general features before specifying a particular configuration and to lay a convenient framework for carrying out detailed calculations in some more complicated cases. In particular, the relationship is clarified between the impedance properties of cavities, pipes, and other components in isolation and when combined into a realistic machine.
Report Numbers
BNL-22240
Other Subject(s)
Collection
U.S. Atomic Energy Commission depository collection.
Note
DOE contract number: EY-76-C-02-0016
OSTI Identifier 7224473
Research organization: Brookhaven National Lab. (BNL), Upton, NY (United States).
View MARC record | catkey: 42515081