  We study the truncated Kramers-Kronig (KK) medium to reveal the effects of
nonreciprocity in reflection on the scattering and the wave guiding properties.
We focus on the simplest possible spatial profile mimicking the dielectric
response. We show that a finite slab of KK medium can support only one sided
null scattering under bidirectional identical illumination. However, for a
phase lag between the two incident beams it is possible to have null scattering
on the other side. This is shown to be a consequence of the nonreciprocity in
reflection due to the inherent asymmetry of the KK medium. We further look at
the possibility of surface modes for unidirectional illumination. For specific
range of parameters, we show the existence of TM polarized surface plasmons
only for illumination from one side. The origin of such modes is traced to the
inhomogeneous metal like layer with negative real part of the permittivity in
the KK medium.
