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Proceedings Paper

A unified theory of gyrotron and peniotron interactions
Author(s): C. N. Lashmore-Davies
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Paper Abstract

The thin beam model of an axis encircling relativistic electron beam in a uniform, constant, external magnetic field in a cylindrical wave guide is used to develop a unified theory of the various interactions of such a beam with the electromagnetic field. The model includes the gyrotron interaction (longitudinal displacement of the beam) and the peniotron interaction (transverse displacement of the beam). Space charge effects are included. The resulting self-fields influence the boundary conditions of the perturbed electromagnetic field across the electron beam. For a beam with only azimuthal equilibrium flow and for propagation perpendicular to the equilibrium external magnetic field the well known gyrotron instabilities are recovered. In addition, it is shown that the transverse beam modes (slow peniotron) are unstable for resonant interaction with the TE wave guide mode. A general dispersion relation for propagation at any angle is derived for a beam with arbitrary energy and arbitrary pitch angle. This dispersion relation includes gyrotron, CARM, peniotron and HARP interactions and the coupling between TE and TM wave guide modes. For weak space charge, analytic expressions for the growth rates of the Doppler shifted cyclotron resonance interaction of TE and TM modes with the gyrotron and slow peniotron modes are obtained.

Paper Details

Date Published: 1 October 1991
PDF: 2 pages
Proc. SPIE 1576, 16th International Conference on Infrared and Millimeter Waves, 15764O (1 October 1991); doi: 10.1117/12.2297881
Show Author Affiliations
C. N. Lashmore-Davies, AEA Fusion (United Kingdom)

Published in SPIE Proceedings Vol. 1576:
16th International Conference on Infrared and Millimeter Waves
Minh Quang Tran, Editor(s)

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