Zeeman-Doppler Imaging of Stellar Magnetic Fields with Atomic and Molecular Lines

We have developed a new code for Zeeman-Doppler Imaging (ZDI) of stellar magnetic fields using the Occamian approach for solving inverse problems. The inversions are applied to Stokes I and V parameter sets obtained by solving the full set of polarized radiative transfer equations for both atomic and molecular lines. For the first time we demonstrate that molecular polarization strongly constrains the ZDI maps and is crucial for obtaining a realistic solution from Stokes I and V only observed at a few stellar rotational phases. We also present an enhanced LSD technique, which allows analytic separation of blended line profiles. The resulting LSD profiles are free from systematic effects induced by blends, which are typical for other multi-line techniques.