Quasi-Bennett equilbrium of a relativistic electron beam
A study is made of the equilibrium state of a neutralized relativistic electron beam described by a distribution function which has an exponential energy dependence, an exponential dependence on the longitudinal component of the generalized momentum, and a power-law dependence on the angular momentum of the particle with respect to the beam axis. When the exponent of the latter satisfies xi = 0, the distribution is an ordinary Bennett distribution. For xi>0, the current density corresponds to a hollow beam. Far from the axis, the current density falls off more rapidly than in an ordinary Bennett beam. The total beam current increases linearly with increasing exponent. The state of the beam with a longitudinal magnetic field is also characterized by a hollow distribution of the longitudinal current j/sub z/(r). The overall behavior of the azimuthal current, j/sub theta/(r), corresponds to a hollow beam, but exhibits oscillations near the beam axis.
- Research Organization:
- V. I. Lenin All-Union Electrotechnical Institute
- OSTI ID:
- 6218670
- Journal Information:
- Sov. J. Plasma Phys. (Engl. Transl.); (United States), Vol. 6:5
- Country of Publication:
- United States
- Language:
- English
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