Cherenkov‐Curvature Radiation and Pulsar Radio Emission Generation

Electromagnetic processes associated with a charged particle moving in astrong circular magnetic field is considered in cylindrical coordinates. Weinvestigate the relation between the vacuum curvature emission and Cherenkovemission and argue, that for the superluminal motion of a particle in theinhomogeneous magnetic field in a dielectric, the combined effects of magneticfield inhomogeneity and presence of a medium give rise to the synergeticCherenkov-curvature emission process. We find the conditions when the operatorrelations between electric field and electric displacement in cylindricalcoordinates may be approximated by algebraic relations. For nonresonantelectromagnetic wave the interaction with particles streaming along the curvedmagnetic field may be described in the WKB approximation. For the resonantwaves interacting with superluminal particles we find a particular case ofplane-wave-like approximation. This allows a fairly simple calculation of thedielectric tensor of a plasma in a weakly inhomogenous magnetic field. We findin this approximation the polarization of normal modes in the plasma,Cherenkov-curvature and Cherenkov-drift emissivities and growth rates.Comment: 31 Pages, 5 Figure