15 August 2001 Influence of velocity spread on cyclotron masers driven by spatiotemporally gyrating electron beams
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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. A Lorentzian distribution exists in the axial momentum, whereas the magnitude of the transverse momentum is definite. The analysis is carried out by applying Lorentz transformations to previously derived integral equations (relating field amplitudes) for nongyrotropic equilibrium distributions that include a distribution in momentum. For small axial momentum spreads, these integral equations are approximated by algebraic equations. These equations relate field amplitudes for frequencies and wavenumbers that different by complex values. A dispersion relation is obtained. The range of validity of this dispersion relation is the subject of current research.
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John A. Davies, Chiping Chen, "Influence of velocity spread on cyclotron masers driven by spatiotemporally gyrating electron beams", Proc. SPIE 4371, Intense Microwave Pulses VIII, (15 August 2001); doi: 10.1117/12.436933; https://doi.org/10.1117/12.436933
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