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Influence of wall impedance and self-fields on the cyclotron maser instability

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3 Author(s)
Khalilzadeh, Elnaz ; Department of Physics, Amirkabir University of Technology, P. O. Box 15875-4413, Tehran, Iran ; Maraghechi, B. ; Chakhmachi, Amir

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The compound influence of wall impedance and self-fields on the cyclotron maser instability is investigated for a hollow electron beam. A stability analysis is carried out using the linearized Vlasov–Maxwell equations, under the assumption that the beam thickness is small compared to the beam radius. A dispersion relation is derived and solved numerically to study the effects of the wall impedance and self-fields on the cyclotron maser instability. These effects lead to the elliptical motion of the equilibrium configuration. The growth rate decreases due to the wall resistivity and self-fields. It has been shown that the interaction between the self-field and impedance effects is in the lower reduction in the growth rate when they are both present compared to their separate effects added together. The instability bandwidth increases due to the wall impedance and decreases due to the self fields. In the presence of self-fields, a very small increase in the wall impedance causes an increase in the instability bandwidth. This shows that the widening effect of the bandwidth due to the wall impedance is dominant and prevails over the narrowing effect of the self-field.

Published in:

Journal of Applied Physics  (Volume:106 ,  Issue: 5 )