K. Sakamoto et al., RELATIVISTIC BEAM TRANSPORT IN A FOCUSING WIGGLER, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 331(1-3), 1993, pp. 126-129
The transport of a relativistic electron beam was studied experimental
ly and numerically in a magnetic field configuration which consists of
a focusing wiggler as well as an additional axial guide field. A new
beam divergence was found for the lower side of the magnetoresonance.
It was identified as due to the effect of the second harmonic mode of
the cyclotron frequency in the resonance, determined by nOMEGA(paralle
l-to) = k(w)v(parallel-to) for n = 2. The experimental observation sho
ws good agreement with the numerical calculation, where the motions of
the electrons are traced in a planar wiggler having parabolic pole fa
ces and an axial uniform guide field, in the limit of low density beam
. The formalism for the calculation is given and discussed. The harmon
ic resonance was detected for the planar wiggler first, and it could a
ppear also for the helical one.