  We investigate the color coherence pattern between initial and final state
radiation in the presence of a QCD medium. We derive the medium-induced gluon
spectrum of an "asymptotic" parton which suffers a hard scattering and
subsequently crosses the medium. The angular distribution of the induced gluon
spectrum is modified when one includes interference terms between the incoming
and the outgoing parton at finite angle between them. The coherent, incoherent
and soft limits of the medium-induced gluon spectrum are studied. In the soft
limit, we provide a simple and intuitive probabilistic picture which could be
of interest for Monte Carlo implementations. The configuration studied here may
have phenomenological consequences in high energy nuclear collisions.
