Numerical Analysis in Electromagnetics: The TLM Method

Appendix B

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 ...