Free-electron laser harmonic generation in an electromagnetic-wave wiggler and ion channel guiding

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3313356· OSTI ID:21347142

Mehdian, H; Hasanbeigi, A; Jafari, S ^[1]

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1. Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614 (Iran, Islamic Republic of)

A theoretical study of electron trajectories, harmonic generation, and gain in a free-electron laser (FEL) with a linearly polarized electromagnetic-wave wiggler is presented for axial injection of electron beam. The relativistic equation of motion for a single electron has been derived and solved numerically. It is found that the trajectories consist of two regimes. The stability of these regimes has been investigated. The results show that the trajectories are stable except for some parts of the regime one. The effects of interaction on the transverse velocity of the electron are a superposition of two oscillation terms, one at the wiggler frequency and the other at the betatron ion-channel frequency. A detailed analysis of the gain equation in the low-gain-per-pass limit has been employed to investigate FEL operation in higher harmonics generation. The possibility of wave amplification at both wiggler frequency and betatron ion-channel frequency for their odd harmonics has been illustrated.

• OSTI ID: 21347142
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLIFICATION
BEAM-PLASMA SYSTEMS
BEAMS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELECTRON BEAMS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FREE ELECTRON LASERS
FREQUENCY MIXING
GAIN
HARMONIC GENERATION
IONS
LASERS
LEPTON BEAMS
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE BEAMS
PLASMA
RADIATIONS
RELATIVISTIC PLASMA
TRAJECTORIES