Design of reflectionless slabs for obliquely incident transient electromagnetic waves

A method for designing reflectionless plane-stratified conducting and dispersive slabs for obliquely incident transient plane waves is presented. The slabs are temporally dispersive with a spatially varying impedance and conductivity. It is shown that the effects from the variation of the impedance can be matched by the temporal dispersive effects and the conductivity for given incident directions. The problem of finding reflectionless slabs are formulated as an inverse problem for the TE and TM modes where the constitutive relation is to be determined as a function of depth given a reflection kernel that is zero for given incident directions. The inverse problem is solved by a time domain Green functions technique.