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

Yin, Y. Z.; Bekefi, G.
April 1985
Physics of Fluids (00319171);Apr85, Vol. 28 Issue 4, p1186
Academic Journal
Calculations show that modes resembling the free-electron laser (FEL) instability are excited when electrons move in quasicircular orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. In.the model, a thin annular ring of rotating electrons is confined in a hollow cylindrical waveguide, or between concentric cylinders comprising a coaxial waveguide, and the dispersion equations for the transverse magnetic (TM[sub lm]) modes are derived and analyzed. Coherent radiation occurs near frequencies co corresponding to the crossing points of the electromagnetic modes ω = ω[sub c] (l, m) and the beam modes ω = (l + N)Ω[sub ], where ω[sub c] and Ω[sub ] are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, and N is the number of wiggler periods.


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