Self-consistent cold-fluid theory of a free-electron laser

1991 ◽  
Vol 153 (8-9) ◽  
pp. 461-465 ◽  
Author(s):  
San-kui Gou
Keyword(s):  
Free Electron ◽  
Free Electron Laser ◽  
Cold Fluid ◽  
Self Consistent ◽  
Fluid Theory

Self-consistent gain in the optical-klystron free-electron laser

1985 ◽  
Vol 31 (4) ◽  
pp. 2353-2361 ◽  
Author(s):  
W. B. Colson ◽  
I. Boscolo
Keyword(s):  
Free Electron ◽  
Free Electron Laser ◽  
Self Consistent

The self-consistent pendulum picture of the free electron laser revised

1991 ◽  
Vol 80 (5-6) ◽  
pp. 370-374 ◽  
Author(s):  
R. Bonifacio ◽  
F. Casagrande ◽  
A. Airoldi
Keyword(s):  
Free Electron ◽  
Free Electron Laser ◽  
The Self ◽  
Self Consistent

scholarly journals Fox H-Functions in Self-Consistent Description of a Free-Electron Laser

2021 ◽  
Vol 5 (4) ◽  
pp. 263
Author(s):  
Alexander Iomin
Keyword(s):  
Differential Equation ◽  
Fractional Calculus ◽  
Free Electron ◽  
Free Electron Laser ◽  
High Gain ◽  
The Self ◽  
Volterra Type ◽  
Integro Differential Equation ◽  
Consistent Description ◽  
Self Consistent

A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL). It is shown that the Fox H-function is the Laplace image of the kernel of the integro-differential equation, which is also known as a fractional FEL equation with Caputo–Fabrizio type fractional derivative. Asymptotic solutions of the equation are analyzed as well.

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