We developed a Monte Carlo code for the computation of polarization ma
ps. This code includes multiple scattering and allows the computation
for arbitrary dust configurations. In our model, we consider both the
radiation of the central energy source and the thermal emission of the
circumstellar dust. As one of the first applications of our code, we
present polarization maps for 2D hydrodynamical models (for two time s
teps of evolution: 32010 and 86222 yr) of a 1 M. rotating molecular cl
ump which evolved into a protostar surrounded by a disk and envelope (
Yorke et al. 1993). For deriving the polarization patterns, we used tw
o populations of the DL-MRN model - the diffuse ISM-population (radii
between 0.005 and 0.25 mum) and a population with only larger grains (
radii between 0.1 and 1 mum). We calculated the polarization maps for
11 wavelength bands between 0.55 mum (V) and 1.3 mm. The computed maps
agree with the typical features of the observed polarization maps of
circumstellar regions around young stellar objects (YSOs). The grains
in the optically thin lobes scatter the light only once. Therefore, th
e radiation from these lobes is strongly polarized and has a centro-sy
mmetric polarization pattern. For the inner regions of the dust disk w
hich are optically thick, the polarization vectors are aligned and par
allel to the disk plane. In the optically thin outer disk regions, the
pattern is centro-symmetric again. The computed maps give evidence th
at the particles are larger than assumed in the standard MRN model.