The inverse scattering problem for a homogeneous bi-isotropic slab using transient data

In English Transient wave propagation in a finite bi-isotropic slab is treated. The incident
field impinges normally on the slab, which can be inhomogeneous wrt
depth. Dispersion and bi-isotropy are modeled by time convolutions in the
constitutive relations. Outside the slab the medium is assumed to be homogeneous,
non-dispersive and isotropic, and such that there is no phase velocity
mismatch at the boundaries of the slab. Two alternative methods of solution
to the propagation problem are given—the imbedding method and the Green
function approach. The second method is used to solve the inverse problem
and the first to generate synthetic data. The inverse scattering problem is to
reconstruct the four susceptibility kernels of the medium using a set of finite
time trace of reflection and transmission data.