Published 1991 | Version v1
Report Open

Perturbation treatment of the longitudinal coupling impedance of a toroidal beam tube

Creators

Description

A simple analytical expression for the longitudinal coupling impedance of a toroidal beam tube below the resonance region has been derived by expanding the electromagnetic fields of the toroidal beam tube in a power series in curvature and substituting directly into Maxwell's equations. The resulting expression consists of the impedance of the straight beam pipe plus a correction terms due to the curvature. It has been verified that this result gives excellent agreement to the exact solution below the first resonance. 5 refs., 2 figs., 3 tabs

Availability note (English)

MF available from INIS under the Report Number; OSTI as DE91013884; NTIS; INIS; US Govt. Printing Office Dep.

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Additional details

Publishing Information

Imprint Pagination
4 p.
Report number
BNL--45513

Conference

Title
1991 Institute of Electrical and Electronics Engineers (IEEE) particle accelerator conference (PAC).
Dates
6-9 May 1991.
Place
San Francisco, CA (USA).

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
22084878
Subject category
S43: PARTICLE ACCELERATORS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ANALYTICAL SOLUTION; BEAM TRANSPORT; ELECTRIC IMPEDANCE; MAXWELL EQUATIONS; PERTURBATION THEORY; TUBES
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; IMPEDANCE; PARTIAL DIFFERENTIAL EQUATIONS

Optional Information

Contract/Grant/Project number
Contract AC02-76CH00016
Funding organization
USDOE, Washington, DC (USA).
Secondary number(s)
CONF-910505--238.