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Magnetic fields in cool stars are ubiquitous but can still be challenging tocharacterize due to their complexity and relatively low strength. Thepolarization signature amplitudes are proportional to the field strength, andcurrent studies of cool star magnetic fields are using circular polarizationonly since linear polarization is even weaker. However, circular polarizationis only sensitive to the line-of-sight component of the magnetic field, meaningthat many structural features are not recovered or may be misinterpreted whenonly circular polarization is used for reconstruction of stellar magnetictopologies. Linear polarization, on the other hand, is sensitive to thetransverse component of the magnetic field and would provide a more completepicture of the magnetic field topology if combined with circular polarization.We have identified the first cool target, the RS CVn star II~Peg, suitable forfull Stokes vector analysis. Using current instrumentation, we have succeededin systematically detecting its linear polarization signatures with a precisionand rotational phase coverage sufficient for magnetic mapping. Here we presentthe very first temperature and magnetic field maps reconstructed for a coolstar using all four Stokes parameter spectra.

Zeeman Doppler imaging of a cool star using line profiles in all four Stokes parameters for the first time