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Classical formulation

Let us denote the density of electric current by ,
the electric field by ,
the electric displacements by ,
the magnetic field by
and the magnetic induction by .
Then are valid in a domain
the following laws:
where
is the velocitiy of the light in vacuum and
the electric charge density. A coupling with constitutive laws leads to
where
is a monotonic function and has for instance to represent the behaviour
of soft iron for high field saturation. The function
is a given electric source. In so-called chiral materials is assumed the
*Drude-Born-Fedorov constitutive law*. Let be
the electric permittivity,
the magnetic permeability,
the chirality measure then the constitutive relations read as follows:

After a simple calculation one can find in case of an achiral material
with constants
and :

In an isotropic chiral medium an has the socalled *Tellegen representation
*:
In a source-free region we have

Sometimes one has .
Often the displacement current term
can be neglected. Then the equation simplifies.

**A late reference:** Augusto Visintin, (1996) *Models of Phase
transitions*, Progress in Nonlinear Differential Equations and their
Applications, Volume 28, Birkhäuser Basel.

**Nächste Seite:**ME
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collected and worked out by Wolfgang Sprößig, TU-Bergakademie
Freiberg