## Field equivalence principle for electromagnetic waves
in a heterogeneous generally bianisotropic medium

**Ludek Klimes**
### Summary

We derive the
field equivalence principle for electromagnetic waves
propagating in a heterogeneous generally bianisotropic medium.
For the given medium, we define the complementary medium
corresponding to the transposed constitutive matrix.
We define the frequency-domain complementary Green function
as the frequency-domain Green function in the complementary medium
but with the opposite sign at the time derivative.
We then derive the provisional field equivalence principle as the relation
between the frequency-domain wave field in the given medium
and the frequency-domain complementary Green function.
This provisional field equivalence principle yields the reciprocity relation
between the frequency-domain Green function and
the frequency-domain complementary Green function.
The final version of the field equivalence principle
is then obtained by inserting the reciprocity relation
into the provisional field equivalence principle.

### Keywords

Electromagnetic waves, heterogeneous media, bianisotropic media,
constitutive tensor, magnetic vector potential, electric potential,
Green function, field equivalence principle, reciprocity relation.

### Whole paper

The paper is available in
PDF (87 kB).

*Seismic Waves in Complex 3-D Structures*, **27** (2017), 105-110
(ISSN 2336-3827, online at http://sw3d.cz).