Electron trajectories and gain in free-electron lasers with three-dimensional helical wiggler and ion-channel guiding

Journal Article · Thu Sep 15 04:00:00 EDT 2005 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2013307· OSTI ID:20764558

Mirzanejhad, Saeed; Asri, Mehdi ^[1]

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1. Faculty of Basic Sciences, Department of Physics, Mazandaran University, Babolsar, Iran and Institute for Studies in Theoritical Physics and Mathematics (IPM), P.O.Box 19395-5531, Tehran (Iran, Islamic Republic of)

Deformation of steady-state trajectories of an electron, due to transverse inhomogeneity in a realizable three-dimensional helical wiggler field with ion-channel guiding, is studied. The {phi} function that determines the rate of change of axial velocity with energy is derived and shows that transition to negative mass regime remains approximately unchanged under the influence of the three-dimensional effect of the wiggler. A detailed stability analysis of orbits is performed, with variation in relativistic factor {gamma} included in the formalism, and a new stable branch is found for group-II orbit. Finally a formula for the small signal gain is derived with radiation forces in transverse components of the equation of motion included and results are compared with previous works in one-dimensional case.

• OSTI ID: 20764558
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 9 Vol. 12; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DEFORMATION
ELECTRON BEAMS
ELECTRONS
EQUATIONS OF MOTION
FREE ELECTRON LASERS
GAIN
IONS
NEGATIVE MASS
ONE-DIMENSIONAL CALCULATIONS
ORBITS
RELATIVISTIC RANGE
STABILITY
STEADY-STATE CONDITIONS
VARIATIONS
VELOCITY