Linearized expressions for perturbed quantities for propagation at arbitrary angle to the static magnetic field in plasmas with non-uniform density and thermal anisotropy

Linear wave equations for non-uniform magnetized Vlasov plasmas are derived. It is shown that by the operator method a close connection exists between the case of perpendicular propagation and the general one. Combining this with previous results, expressions for the perturbed density and velocity are derived for the case of propagation at any angle to the uniform static magnetic field in a two-temperature Maxwellian plasma. These results apply for arbitrary inhomogeneities of equilibrium density and temperatures in directions perpendicular to the static magnetic field. (author)