Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Plasmas
5 (1998), S. 3416-3439
ISSN:
1089-7674
Source:
AIP Digital Archive
Topics:
Physics
Notes:
An investigation is made of the effects of nongyrotropic equilibrium distributions in the phase angle of p⊥ on the stability properties of a relativistic electron beam propagating along and gyrating about an applied uniform magnetic field. Perturbations are assumed to vary spatially only in the direction of the applied magnetic field, so that generated electromagnetic and longitudinal electric fields propagate parallel to the applied field. The two equilibrium distributions considered are the time-dependent distribution f0(p⊥,pz,ξ) with ξ=φ−Ωct/γ and the axial-dependent distribution f0(p⊥,pz,ζ) with ζ=φ−mΩcz/pz. A Vlasov-Maxwell analysis leads to integral equations relating the field Fourier components. These equations reduce to algebraic equations when no spread in γ is present in the time-dependent equilibrium distribution and when no spread in pz is present in the axial-dependent distribution. Numerical computations for these special cases show that a rich variety of stability properties are obtained by changing the distributions in ξ and ζ. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.873056
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