  We revisit the calculation of the medium-induced gluon spectrum in a finite
QCD and develop a new approach that goes beyond multiple soft scattering
approximation. We show by expanding around the harmonic oscillator that the
first two orders encompass the two known analytic limits: single hard and
multiple soft scattering regimes, valid at high and low frequencies,
respectively. Finally, we investigate the sensitivity of our results to the
infrared and observe that for large media the spectrum is weakly dependent on
the infrared medium scale.
