Determination of the final equilibrium radius and the increase in the emittance of a nonequilibrium relativistic electron beam during transport along an external magnetic field in a gas-plasma scattering medium |
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Authors: | E K Kolesnikov A S Manuilov |
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Institution: | (1) St. Petersburg State University, 198904 St. Petersburg, Russia;(2) V. I. Smirnov Scientific-Research Institute of Mathematics and Mechanics, 198904 St. Petersburg, Russia |
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Abstract: | An equation describing the evolution of the transverse energy of a segment of a paraxial axisymmetric relativistic electron
beam (REB) propagating in a gas-plasma scattering medium along an external magnetic field is used to find the equation relating
the final equilibrium radius of the beam to its initial nonequilibrium value. An analytical expression for the increase in
the mean-square emittance of an REB during transport up to achievement of the equilibrium state is found for the case considered.
The dependence of the final equilibrium radius and the corresponding increase in the mean-square emittance on the density
of the scattering medium and the induction of the external magnetic field is investigated.
Pis’ma Zh. Tekh. Fiz. 67, 108–111 (July 1997) |
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