Cold relativistic helically symmetric steady flows
作者:
H. Weitzner,
A. Fruchtman,
P. Amendt,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1987)
卷期:
Volume 30,
issue 2
页码: 539-547
ISSN:0031-9171
年代: 1987
DOI:10.1063/1.866351
出版商: AIP
数据来源: AIP
摘要:
A general theory of nontenuous cold relativistic helically symmetric steady flows is developed. Both self‐fields and radial effects are included. The fluid and the Maxwell equations are reduced to a system of equations for three scalar functions: a stream function, a flux function, and an electrostatic potential. These equations are expanded under the assumption of small perpendicular momenta and a simplified set of ordinary differential equations is obtained. Two cases are studied in detail. The first case is of a system externally driven by a magnetic wiggler. The second is the self‐excited system, with no externally applied wiggler. The equilibria described here are of a practical importance for free‐electron lasers which employ high‐density thick beams.
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