WEAKLY RELATIVISTIC DIELECTRIC TENSOR IN THE PRESENCE OF TEMPERATURE ANISOTROPY

Analytical expressions for the weakly relativistic dielectric tensor near the electron-cyclotron frequency and harmonics are obtained to any order in finite-Larmor-radius effects for a bi-Maxwellian distribution function. The dielectric tensor is written in terms of generalized Shkarofsky dispersion functions, whose properties are well known. Relevant limiting cases are considered and, in particular, the anti-Hermitian part of the (fully relativistic) dielectric tensor is evaluated for two cases of strong temperature anisotropy.