  The one- and two-photon scattering matrix S is obtained analytically for a
one-dimensional waveguide and a point-like scatterer with N excited levels
(generalized V -type atom). We argue that the two-photon scattering matrix
contains sufficient information to distinguish between different level
structures which are equivalent for single-photon scattering, such as a V -atom
with N = 2 excited levels and two two-level systems. In particular, we show
that the scattering with the V -type atom exhibits a destructive interference
effect leading to two-photon Coupled-Resonator-Induced Transparency, where the
nonlinear part of the two-photon scattering matrix vanishes when each incident
photon fulfills a single-photon condition for transparency.
