Plasma-stream instability in an inhomogeneous medium

Cosmic Electrodynamics

“…The general case of a particle with an arbitrary (including nonrelativistic or mildly relativistic) energy is highly complicated (Eidman 1958(Eidman , 1959Melrose 1968;Ramaty 1969) because one have to consider here exact expressions for the particle velocity and trajectory containing the sine and cosine functions to calculate electric current Eq. (9.51), where the dot product in the exponent can be written in the form (9.144) where φ is the azimuth angle of the k vector.…”

Total Energy Loss of a Test Charge in a Collisional Magnetoplasma

“…Ellis [2] showed for the first time that a charged particle moving through a plasma generates very low frequency (VLF) electromagnetic waves. The non-relativistic formulation for radiated power and frequency spectra was generalized by Eidman [3] for the case of an anisotropic dispersive medium. Liemohn [4] extended the work of Eidman [3] to include relativistic effects of spiralling charged particles and the dispersive nature of magnetoplasms.…”

“…The non-relativistic formulation for radiated power and frequency spectra was generalized by Eidman [3] for the case of an anisotropic dispersive medium. Liemohn [4] extended the work of Eidman [3] to include relativistic effects of spiralling charged particles and the dispersive nature of magnetoplasms. The expressions for the total energy loss by a test charged particle and the power radiated by Cerenkov and Doppler shifted cyclotron processes bere obtained.…”