Beam-plasma dielectric tensor with Mathematica Original Research Article

We present a Mathematica notebook allowing for the symbolic calculation of the image 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.