Open AccessLINEAR AND NONLINEAR CALCULATIONS OF THE 3-DIMENSIONAL MOTION OF RELATIVISTIC ELECTRONS IN THE ELECTROMAGNETIC WIGGLER AND AXIAL GUIDE FIELD
Author(s) -
Shichang Zhang,
Wenyao Wang
Publication year - 1991
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.40.748
Subject(s) - wiggler , physics , electron , electromagnetic radiation , transverse plane , quantum electrodynamics , electromagnetic field , nonlinear system , field (mathematics) , equations of motion , plane wave , magnetic field , classical mechanics , optics , quantum mechanics , cathode ray , mathematics , structural engineering , pure mathematics , engineering
The 3-D motion of the relativistic electrons is analysed under the combination of a cylindrical waveguide TE mode (or TM mode) and an axial guide field. Both linear and nonlinear calculations are carried out. Generally speaking, the projection of the electron orbits onto the transverse plane is an annulus, the thickness of which is dependent on the amplitude of the electromagnetic wiggler. However, the electron orbits may diverge when ω+kzvzo+ ( m±1 )ωc≈0 Discussion is also given to the special case that the electromagnetic wiggler is a slow wave propagating parallel to the electron motion.