https://doi.org/10.1140/epjd/e2012-30138-9
Regular Article
Adorable reversed field configuration with self-fields effect in a fel
Physics Laboratory of Materials, Department of Physics, Faculty of
Sciences, University of Sfax, BP
1171, 3000
Sfax,
Tunisia
a e-mail: ryadhbahi@yahoo.fr
Received:
27
February
2012
Received in final form:
11
July
2012
Published online:
12
September
2012
The dynamical behavior of relativistic electron governed by the combination of a
realistic helical-wiggler free-electron laser (FEL) with a uniform axial guide magnetic
field is investigated by the consideration of the effect of the relativistic electrons
self-fields. The electron beam is assumed to have uniform density. In Raman regime, a
three-dimensional Hamiltonian approach is derived in detail. The consideration of the
additional scalar potential Φs represents the
basic feature of the analysis. The approach recognized the two usual constants of motion:
one concerns the total energy while the other is the canonical axial angular momentum
.
After some tedious algebra, the dynamical variables problems are solved analytically to
study stable and unstable fixed point. The additional scalar potential
Φs changes the nature of groups, in
group II orbits reversed field configuration near
converted to a simple group II. At the time of the variation of ε the
energetic interaction zones are discussed. The stability zones of fixed points that allow
an excellent interaction between the electron and the existing fields are limited. To
validate our model, we apply it to the well-known experience of Conde and Bekefi [Phys.
Lett. 67, 3082 (1991)] and get some encouraging results.
Key words: Plasma Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012
