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The properties of magnetic fields forming an extended plage region in AR10953 were investigated. Stokes spectra of the Fe I line pair at 6302 \AArecorded by the spectropolarimeter aboard the Hinode satellite were invertedusing the SPINOR code. The code performed a 2D spatially coupled inversion onthe Stokes spectra, allowing the retrieval of gradients in optical depth withinthe atmosphere of each pixel, whilst accounting for the effects of theinstrument's PSF. Consequently, no magnetic filling factor was needed. Theinversion results reveal that plage is composed of magnetic flux concentrations(MFCs) with typical field strengths of 1520 G at log(\tau)=-0.9 andinclinations of 10-15 degrees. The MFCs expand by forming magnetic canopiescomposed of weaker and more inclined magnetic fields. The expansion and averagetemperature stratification of isolated MFCs can be approximated well with anempirical plage thin flux-tube model. The highest temperatures of MFCs arelocated at their edges in all log(\tau) layers. Whilst the plasma inside MFCsis nearly at rest, each is surrounded by a ring of downflows of on average 2.4km/s at log(\tau)=0 and peak velocities of up to 10 km/s, which are supersonic.The downflow ring of an MFC weakens and shifts outwards with height, tracingthe MFC's expansion. Such downflow rings often harbour magnetic patches ofopposite polarity to that of the main MFC with typical field strengths below300 G at log(\tau)=0. These opposite polarity patches are situated beneath thecanopy of their main MFC. We found evidence of a strong broadening of theStokes profiles in MFCs and particularly in the downflow rings surrounding MFCs(expressed by a microturbulence in the inversion). This indicates the presenceof strong unresolved velocities. Larger magnetic structures such as sunspotscause the field of nearby MFCs to be more inclined.

Properties of solar plage from a spatially coupled inversion of Hinode SP data