Dielectric Tensor in Vlasov Plasmas near Cyclotron Harmonics
- 1 March 1966
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 9 (3), 561-570
- https://doi.org/10.1063/1.1761710
Abstract
The relativistic expression for the dielectric tensor obtained by Trubnikov is simplified in the very weakly relativistic limit at and near electron cyclotron harmonics. Wavenumbers parallel to magnetic field are included, leading to relativistic damping when this wavenumber is minute and to cyclotron damping when it is sufficiently large. The transition to the nonrelativistic Z function is shown and the regions of validity of the various functions are indicated. Collisional damping is neglected. The dielectric elements given here are also applicable to cases of complex ω and real k. An example of such a situation arises in Alouette cyclotron harmonic reception when one is concerned with an initial time value problem. For this application the analytic continuation of a complicated function is provided, and the tracks where it is real for complex ω are investigated.Keywords
This publication has 12 references indexed in Scilit:
- Dispersion of Waves in Cyclotron Harmonic Resonance Regions in PlasmasPhysics of Fluids, 1966
- Cyclotron Emission from Plasmas with Non-Maxwellian DistributionsPhysical Review B, 1961
- Cyclotron Radiation from Relativistic Particles with an Arbitrary Velocity DistributionPhysical Review B, 1961
- On the Angular Distribution of Cyclotron Radiation from a Hot PlasmaPhysics of Fluids, 1961
- Effects of Collisions on the Cyclotron Radiation from Relativistic ParticlesPhysical Review B, 1960
- Errata: Cyclotron Radiation from a Hot PlasmaPhysics of Fluids, 1960
- Relativistic Calculation for Cyclotron Radiation from Hot PlasmasPhysics of Fluids, 1960
- Cyclotron Radiation from a Hot PlasmaPhysics of Fluids, 1960
- Spectral and Angular Distribution of Cyclotron Radiation Emitted by Colliding ParticlesPhysical Review B, 1959
- Cyclotron Radiation from Magnetically Confined PlasmasPhysics of Fluids, 1959