The Cubic Response Tensor for a Magnetised Plasma: A Covariant Forward-scattering Approach

Abstract

The quadratic and cubic nonlinear response tensors are calculated for an arbitrary magnetised plasma using a covariant forward-scattering method. Some relevant approximate forms for the response tensors are derived, and translated into 3-tensor notation in the Appendix. The general form of the tensors is used to re-enforce an argument for the non-existence of turbulent bremsstrahlung.