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Generation of electromagnetic radiation from a drifting and rotating electron ring in a rippled magnetic field

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3 Author(s)
Yuan-Zhao Yin ; Academia Sinica, Beijing, China ; Run-Jie Ying ; Bekefi, G.

Coherent electromagnetic radiation from a thin rotating annular ring of relativistic electrons with axial drift, and confined between concentric cylinders comprising a coaxial waveguide, is studied theoretically. The electrons are assumed to move in quasihelical orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. The instability analysis is based on the linearized Vlasov-Maxwell equations for the perturbations about a self-consistent beam equilibrium. The dispersion equations for the transverse magnetic (TMl,m) modes are derived and analyzed. Coherent radiation occurs near frequencies ω corresponding to the crossing points of the electromagntic modes {\omega}^{2} = c^{2}k_{\parallel}^{2} + {\omega}_{c}^{2}(l,m) and the beam modes \omega = \upsilon _{\parallel}k_{\parallel} + (l + N) \Omega _{\parallel} where ωcand Ωare the waveguide cutoff frequency and the electron cyclotron frequency, respectively, υparallelis the axial drift velocity of electrons, kis the wavenumber of the electromagnetic wave along the axis, and N is the number of wiggler periods along the azimuth.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:23 ,  Issue: 9 )