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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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