  In this work we investigate medium modifications to the interference pattern
between initial and final state radiation. We compute single gluon production
off a highly energetic parton that undergoes a hard scattering and subsequently
crosses a dense QCD medium of finite size. We extend our previous studies
obtained at first order in opacity by providing general results for multiple
soft scatterings and their specific formulation within the harmonic oscillator
approximation. We show that there is a gradual onset of decoherence between the
initial and final state radiation due to multiple scatterings, that opens the
phase space for large angle emissions. By examining the multiplicity of
produced gluons, we observe a potentially large double logarithmic enhancement
for dense media and small opening angles. This result points to a possible
modification of the evolution equations due to a QCD medium of finite size. We
briefly comment on the phenomenological consequences of this setup in
high-energy nuclear collisions.
