Space-charge waves on relativistic elliptic electron beams

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.3184424· OSTI ID:21359317

Brainerd, Andrew E; Chiping, Chen ^[1]; Zhou, Jing ^[1]

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1. Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

This paper reports on results of a small-signal analysis of space-charge waves on a relativistic elliptic electron beam immersed in a strong axial magnet field in a perfectly conducting tunnel with an elliptic cross section. A dispersion relation for the space-charge waves is derived analytically. A computer code, elliptic-beam small signal, is developed and used in studies of the dispersion characteristics of fast- and slow-space-charge waves on relativistic elliptic electron beams. Applications of the theory in elliptic-beam klystrons are discussed.

• OSTI ID: 21359317
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 2 Vol. 106; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAMS
COMPUTER CODES
CROSS SECTIONS
DISPERSION RELATIONS
ELECTRON BEAMS
ELECTRON TUBES
ELECTRONIC EQUIPMENT
ENERGY RANGE
EQUIPMENT
KLYSTRONS
LEPTON BEAMS
MAGNETIC FIELDS
MICROWAVE EQUIPMENT
MICROWAVE TUBES
PARTICLE BEAMS
RELATIVISTIC RANGE
SPACE CHARGE