Publication Cover
Applicable Analysis
An International Journal
Volume 70, 1998 - Issue 1-2
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Original Articles

Analytical and numerical treatment of a multidimensional fractional FEL equation

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Pages 1-18 | Received 01 Oct 1997, Published online: 02 May 2007
 

Abstract

The Free Electron Laser (FEL) integral equation is derived from the complete set of coupled Lorentz-Maxwell equations. Its rules the evolution of the field amplitude in different regions: small-signal, longitudinal and transverse mode dynamics as well. The goal of this paper is to derive generalizations of a multidimensional FEL equation in the context of fractional calculus. The considerations are based on the perturbative approach, yielding closed-form expressions for the solution, which are suitable for numerical treatment.

Acknowledgement:The present research was supported by DFG (Deutsche Forschungsgemeinschaft).

Acknowledgement:The present research was supported by DFG (Deutsche Forschungsgemeinschaft).

Notes

Acknowledgement:The present research was supported by DFG (Deutsche Forschungsgemeinschaft).

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