## Ray series for electromagnetic waves in static
heterogeneous bianisotropic dielectric media

**Ludek Klimes**
### Summary

We consider generally bianisotropic dielectric media.
We consider the linear constitutive relations
for bianisotropic media in the Boys-Post representation
without spatial dispersion.
We propose the high-frequency asymptotic ray series
in terms of the magnetic vector potential.
For the sake of simplicity,
we assume that the media are static (do not change with time).
In this case we can work in frequency domain,
apply 3-D spatial rays, and avoid 4-D space-time rays.
We assume that the media are so smoothly heterogeneous
that we can apply the high-frequency ray-theory approximation.
We assume the Weyl gauge (zero electric potential),
which is best suited for electromagnetic wave fields.

We derive the Hamiltonian function which specifies
the rays and travel time.
We then derive the transport equations for the zero-order
and higher-order vectorial amplitudes.

### Whole paper

The reprint is available in
PDF (156 kB).

In: *2016 URSI International Symposium on Electromagnetic Theory,
USB Proceedings*,
IEEE, Washington, 2016, ISBN 978-1-5090-2501-5, pp. 331-334.