Transient External 3D Excitation of a Dispersive and Antisotropic Slab

In English Propagation of a transient electromagnetic field in a stratified, dispersive and
anisotropic slab and related direct and inverse problems are investigated. The
field is generated by a transient external 3D source. The analysis relies on the
wave splitting concept and a two-dimensional Fourier transformation in the
transverse spatial coordinates. An investigation of the physical properties of
the split fields is made. To solve the direct and inverse scattering problems,
wave propagators are used. This method is a generalization and a unification
of the previously used imbedding and Green functions methods. The wave
propagator approach provides an exact solution of the transmission operator.
From this solution it is possible to extract the first precursor (the Sommerfeld
forerunner). These results also hold for a bi-anisotropic slab. An inverse problem
is outlined using reflection and transmission data corresponding to four,
two-dimensional Fourier parameters. Due to the stratification of the medium,
the inverse Fourier transformation is not needed in the inverse problem.