Theory of inversion of dispersive bi-isotropic slab parameters using TEM pulses

Abstract

A new method of reconstructing the causal susceptibility kernels of a homogeneous, temporally dispersive, bi-isotropic medium from generic scattering data at normal incidence is presented. This inverse problem is shown to be well posed in the space of continuous functions furnished with the maximum norm, C [0, T ]. A numerical example is given.

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

“…In [25], using dispersive splitting and referring to the unique solubility of Volterra convolution equations of the second kind, the inverse problem for the bi-isotropic (four kernels) slab at normal incidence was shown to be well posed. Moreover, in [6], one of the natural steps in solving the inverse problem for the anisotropic (18 susceptibility kernels) slab at oblique incidence was proved to be well posed.…”