Cyclotron Emission with a Helical Wavefront from an Electron Accelerated by the Circularly Polarized Wave

Abstract
In this paper, we calculated the radiation from the state where an electron in cyclotron motion under the uniform magnetic field B-ex was accelerated by the externally applied circularly polarized wave with strong E-in and B-in. The electron was accelerated in the parallel direction by the term beta(perpendicular to) x B-in (beta(perpendicular to): perpendicular velocity of the electron) as well as in the perpendicular direction by the electric field of the wave E-in. Then, the electron can be resonantly accelerated when the B-ex is set to the magnetic field strength which is equivalent to frequency of the externally applied circularly polarized wave. The radiation from such an accelerated electron was confirmed to have helical wavefront at harmonics cyclotron frequency.