Beam-plasma dielectric tensor with Mathematica
Abstract
We present a Mathematica notebook allowing for the symbolic calculation of the 3×3 dielectric tensor of a 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.
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