Effects of self-fields on growth rate in a free-electron laser with planar wiggler magnetic field

Author(s):  
Mahdi Esmaeilzadeh ◽  
Vahid Ghfouri
1985 ◽  
Vol 33 (3) ◽  
pp. 387-423 ◽  
Author(s):  
John A. Davies ◽  
Ronald C. Davidson ◽  
George L. Johnston

This paper gives an extensive characterization of the range of validity of the Compton and Raman approximations to the exact free electron laser dispersion relation for a cold, relativistic electron beam propagating through a constantamplitude helical wiggler magnetic field. The electron beam is treated as infinite in transverse extent. Specific properties of the exact and approximate dispersion relations are investigated analytically and numerically. In particular, a detailed numerical analysis is carried out to determine the range of validity of the Compton approximation.


1993 ◽  
Vol 10 (4) ◽  
pp. 223-226 ◽  
Author(s):  
Bo Lu ◽  
Zhonghai Yang ◽  
Shenggang Liu ◽  
Junsheng Yu

2008 ◽  
Vol 74 (5) ◽  
pp. 585-594
Author(s):  
B. S. SHARMA ◽  
N. K. JAIMAN

AbstractA non-local theory is used to study the effects of the corrugation parameter ε of a plasma-filled slow wave structure, the cyclotron frequency of a pumped magnetic field Ω and the relativistic gamma factor γ0 on the instability growth Γ of a free electron laser in the presence of an external finite axial magnetic field. The dispersion relation is derived and the growth rate is formulated in the Raman regime. The growth rate is approximately proportional to ε. There is a considerable decrease in the instability growth when the cyclotron frequency is close to ω0. The growth rate approximately scales inversely as the 19/2 power of the relativistic gamma factor.


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