By Topic

Correction to the adiabatic approximation for variable parameter 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)
J. Garrison ; University of California, CA, USA ; J. Wong

The limits of validity of the adiabatic approximation commonly used in one-dimensional theories of variable parameter free-electron lasers (FEL) are obtained by formulating a Lie-transform perturbation theory in which the zeroth-order problem is the adiabatic approximation, modified to include any secular effects due to the nonadiabatic part of the Hamiltonian. It is shown that secular effects are absent in first order, and that the second-order secular terms can be neglected in practical FEL calculations. The lowest order nonsecular effects are evaluated by perturbation theory and are shown to yield small terms which can be easily included in Maxwell's equations for the signal field.

Published in:

IEEE Journal of Quantum Electronics  (Volume:17 ,  Issue: 8 )