We describe a first attempt to derive properties of the regular and turbulent
Galactic magnetic field from multi-frequency polarimetric observations of the
diffuse Galactic synchrotron background. A single-cell-size model of the thin
Galactic disk is constructed which includes random and regular magnetic fields
and thermal and relativistic electrons. The disk is irradiated from behind with
a uniform partially polarized background. Radiation from the background and
from the thin disk is Faraday rotated and depolarized while propagating through
the medium. The model parameters are estimated from a comparison with 350 MHz
observations in two regions at intermediate latitudes done with the Westerbork
Synthesis Radio Telescope. We obtain good consistency between the estimates for
the random and regular magnetic field strengths and typical scales of structure
in the two regions. The regular magnetic field strength found is a few
microGauss, and the ratio of random to regular magnetic field strength is 0.7
+/- 0.5, for a typical scale of the random component of 15 +/- 10 pc.
Furthermore, the regular magnetic field is directed almost perpendicular to the
line of sight. This modeling is a potentially powerful method to estimate the
structure of the Galactic magnetic field, especially when more polarimetric
observations of the diffuse synchrotron background at intermediate latitudes
become available.Comment: 12 pages, 6 figures, accepted by A&