Js. Yu et Wa. Gillespie, NONLINEAR EVOLUTION OF THE EQUILIBRIUM ELECTRON ORBITS IN A HELICAL WIGGLER WITH A POSITIVE AXIAL-GUIDE MAGNETIC-FIELD AT MAGNETORESONANCE, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 358(1-3), 1995, pp. 471-472
A model of the coupled nonlinear evolution equations is presented for
the slow-varying amplitude and phase of the electron perpendicular vel
ocities in a helical wiggler with positive axial guide magnetic field
at magnetoresonance. The transverse motion is dominated by the nonline
ar effect, which arises from the correlation between the longitudinal
and perpendicular velocities, The analytical results are in very good
agreement with numerical calculations.