  In this work we use the all-order resummed solution of the BDMPS-Z spectrum
to shed light on the dynamics that controls the in-medium radiation process for
each kinematical regime. We find that multiple scatterings are essential to
correctly describe the radiation process both in the low and mid-energy regime,
while in the high-energy region one single hard scattering is enough.
Furthermore, we compute the all-order spectrum when the medium is produced with
a time delay with respect to the hard process in which the parent parton was
created. The propagation of the hard parton though vacuum before the medium
formation induces extra medium-induced radiation which might have an impact on
phenomenological analyses.
