Treatment of Plasma using the Z Transform for the TLM Method
For a non-magnetized plasma, the permittivity tensor is given by:
where refers to the relative permittivity of the plasma.
The electrical susceptibility tensor of the plasma is written in the form:
Within the technical context of the Z transform for the TLM method, the plasma can be handled as a purely dielectric medium. Its conductivity tensor is null and its susceptibility tensor is reduced to:
The Z transform is applied to this tensor of the form:
This amounts to treating the element:
It is expressed in the form:
With the transform above, this becomes:
The simplification reduces this element to:
It can be expressed ...