One-dimensional direct and inverse scattering in causal space

The conventional exact time-domain formulation of the one-dimensional electromagnetic direct scattering problem is re-derived and transformed into causal space, the axies of which are defined as x ± ct. In this causal space, the direct scattering solution reduces to an exceedingly simple expression. This causal space solution yields the scattered fields incidentally, without computations additional to the basic solution for the current densities. the inverse scattering problem is then solved in this causal space. This solution to the inverse problem also consists of an exceedingly simple expression. Numerico-experimental results for both the direct and inverse causal space solutions are presented, and preliminary results of an error analysis are discussed.