In a infinite plasma with an homogeneous constant equilibrium that is invariant by translation in space and time, the conductivity tensor is only a function of the relative distance in space and time, and Eq. ?? may be rewritten as a convolution
|
| (4) |
Applying the Fourier transform to the fields yields
 | (5) |
with the reverse relations
 | (6) |
such that (??) becomes
 | (7) |
Similarly, applying the Fourier transform to the Maxwell’s equations gives
 | (8) |