Stability properties of spatiotemporally gyrating relativistic electron beams

John A. Davies; Chiping Chen

doi:10.1117/12.351201

1 July 1999 Stability properties of spatiotemporally gyrating relativistic electron beams

John A. Davies, Chiping Chen

Proceedings Volume 3702, Intense Microwave Pulses VI; (1999) https://doi.org/10.1117/12.351201
Event: AeroSense '99, 1999, Orlando, FL, United States

Abstract

A stability analysis is made of an electron beam, propagating along and gyrating about a uniform magnetic field, for the case of a spatiotemporal equilibrium distribution in the phase angle of the transverse electron momentum component. The axial momentum component and the magnitude of the transverse momentum component are assumed to have definite values in the equilibrium distribution. The analysis is carried out by applying Lorentz transformations to previous results for nongyrotropic equilibrium distributions. The dielectric matrix, its eigenmodes (which relate field amplitudes), and the dispersion relation are obtained. Numerical results indicate that introducing a spatiotemporal equilibrium distribution has only a small effect on maximum growth rates of radiation, but has a strong effect on the frequencies and wave numbers at which instability occurs.

Citation Download Citation

John A. Davies and Chiping Chen "Stability properties of spatiotemporally gyrating relativistic electron beams", Proc. SPIE 3702, Intense Microwave Pulses VI, (1 July 1999); https://doi.org/10.1117/12.351201

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