By Topic

The effects of wiggler taper rate and signal field gain rate in free-electron lasers

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Y. P. Li ; Dept. of Appl. Math., Washington Univ., Seattle, WA, USA ; J. Kevorkian

A dimensionless formulation of the motion of electrons in free-electron lasers (FEL) with tapered wigglers is derived that takes into account the cumulative effects of tapering and signal field gain. The mathematical problem involves three small parameters: epsilon , measuring the slowness of spatial variations of the wiggler field; mu , the ratio of signal wavelength to wiggler period, and kappa , the square of the ratio of the plasma frequency to signal frequency. Two limits governing the relation between mu and epsilon and three limits governing the relation between kappa and epsilon are identified. The mathematical problems which result consist of the solution of strictly nonlinear oscillators with slowly varying parameters and small perturbation terms. Techniques from the asymptotic theory of nonlinear oscillations are used to derive results pertinent for FEL problems.<>

Published in:

IEEE Journal of Quantum Electronics  (Volume:24 ,  Issue: 4 )