Harmonic emission in a dielectric medium with a uniform magnetic field

A description is being developed of spontaneous emission in a uniform magnetic field with a dielectric medium. The parameters being considered are beam energies of up to 10 MeV, indices of refraction in) of up to 2, and magnetic fields of up to 5 T. As long as n is a slowly varying function of the radiation frequency, the spontaneous emission may go into a large number of harmonics. Compared to a vacuum, the dielectric medium increases the overall energy emission in the 10 to 10⁶ GHz spectral region. Within our description we deduce a new effect, a helical Čerenkov effect, whose power spectrum, unlike the usual Čerenkov effect, depends on the radius of curvature of the electron trajectory, which is measured in the plane perpendicular to the direction of the electron guiding center.