  Realistic modeling of medium-jet interactions in heavy ion collisions is
becoming increasingly important to successfully predict jet structure and shape
observables. In JEWEL, all partons belonging to the parton showers initiated by
hard scattered partons undergo collisions with thermal partons from the medium,
leading to both elastic and radiative energy loss. The recoiling medium partons
carry away energy and momentum from the jet. Since the thermal component of
these recoils' momenta is part of the soft background activity, comparison with
data requires the implementation of a subtraction procedure. We present two
independent procedures through which background subtraction can be performed
and discuss the impact of the medium recoil on jet shape observables. Keeping
track of the medium response significantly improves the JEWEL description of
jet shape measurements.
