# Beam-plasma dielectric tensor with Mathematica

## Description

Abstract We present a Mathematica notebook allowing for the symbolic calculation of the 3 × 3 dielectric tensor of an electron-beam plasma system in the fluid approximation. Calculation is detailed for a cold relativistic electron beam entering a cold magnetized plasma, and for arbitrarily oriented wave vectors. We show how one can elaborate on this example to account for temperatures, arbitrarily oriented magnetic field or a different kind of plasma. Title of program: Tensor Mathematica.nb Catalogue Id: ADYT_v1_0 Nature of problem The dielectric tensor of a relativistic beam plasma system may be quite involved to calculate symbolically when considering a magnetized plasma, kinetic pressure, collisions between species, and so on. The present Mathematica Notebook performs the symbolic computation in terms of some usual dimensionless variables. Versions of this program held in the CPC repository in Mendeley Data ADYT_v1_0; Tensor Mathematica.nb; 10.1016/j.cpc.2006.11.006 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)