- 著者
-
IMADERA Kenji
KISHIMOTO Yasuaki
- 出版者
- The Japan Society of Plasma Science and Nuclear Fusion Research
- 雑誌
- Plasma and Fusion Research (ISSN:18806821)
- 巻号頁・発行日
- vol.6, pp.1201004-1201004, 2011
- 被引用文献数
-
3
The non-canonical Lie perturbation method for analyzing relativistic electron beams in free electron lasers [Y. Kishimoto et al., Phys. Plasmas 2, 1316 (1995)] is extended to the case with harmonic gyro-resonance due to the coexistence of a focusing wiggler and an axial guiding field, which allow the maximum beam current to be increased. By using non-canonical guiding-center variables, we have solved the particle motion not only far from the harmonic gyro-resonance but also near the resonance. Far from the resonance, the maximum beam current is found to increase in proportion to (B<sub>g</sub>/B<sub>w</sub>)<sup>2</sup> (B<sub>w</sub> and B<sub>g</sub> are the strength of the wiggler and guiding fields, respectively). On the other hand, near the resonance, the beam is found to be confined in a finite radial region and then transmitted because of higher order secular perturbations.