Appendix B

Treatment of Plasma using the Z Transform for the TLM Method

For a non-magnetized plasma, the permittivity tensor is given by:

images

where in-appb-image155-02.gif refers to the relative permittivity of the plasma.

The electrical susceptibility tensor of the plasma is written in the form:

images

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:

images

The Z transform is applied to this tensor of the form:

images

This amounts to treating the element:

images

It is expressed in the form:

images

With the transform above, this becomes:

images

The simplification reduces this element to:

It can be expressed ...

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