The perturbations of a homogeneous non-relativistic two-component plasma are
studied in the Coulomb gauge. Starting from the solution found [2] of the
equations of electromagnetic self consistency in a plasma [1], we add small
perturbations to all quantities involved, and we enter the perturbed quantities
in the equations, keeping only the first order terms in the perturbations.
Because the unperturbed quantities are solutions of the equations, they cancel
each other, and we are left with a set of 12 linear equations for the 12
perturbations (unknown quantities). Then we solve this set of linearized
equations, in the approximation of small ratio of the masses of electrons over
those of ions, and under the assumption that the plasma remains homogeneous.