Freeelectron lasers with very slow wiggler taper
Abstract
A highly accurate, explicit asymptotic solution of the electron energy and phase is found for a class of freeelectron lasers with very long wavelength beams, very low electron energies, and very slow taper of the wiggler field relative to the wiggler period. Dimensionless variables are defined and normalized, and three small parameters which characterize the operation of the FEL are identified. Because of the explicit nature of the solution, our results may be directly used to calculate features such as the escape distance of the electron from the potential well and the effects of the various physical parameters. One important advantage of the very slow wiggler taper is the increased efficiency of the energy transfer from the electron beam to the signal field due to increased bucket width. Numerical calculations are performed to verify all results.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1990
 Bibcode:
 1990STIN...9112939B
 Keywords:

 Electron Beams;
 Electron Energy;
 Energy Transfer;
 Free Electron Lasers;
 Tapering;
 Wiggler Magnets;
 Asymptotic Methods;
 Differential Equations;
 Dimensionless Numbers;
 Mathematical Models;
 Numerical Analysis;
 Lasers and Masers