Time-domain direct and inverse scattering for bi-anisotropic slabs at oblique incidence

Using the Cayley-Hamilton theorem and unique solubility of scalar Volterra convolution equations of the second kind, the inverse problem of determining the four time-dependent susceptibility dyadics of a linear, homogeneous, bit anisotropic slab from generic scattering data at oblique incidence is shown to be well posed. An explicit formula for the crucial step is given.