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Properties of magnetic field in the internetwork regions are still fairlyunknown due to rather weak spectropolarimetric signals. We address the matterby using the 2D inversion code that is able to retrieve the information onsmallest spatial scales, up to the diffraction limit, while being lesssusceptible to noise than most of the previous methods used. Performance of thecode and the impact of the various effects on the retrieved field distributionis tested first on the realistic MHD simulations. The best inversion scenariois then applied to the real Hinode/SP data. Tests on simulations show: (1) thebest choice of node position ensures a decent retrieval of all parameters, (2)code performs well for different configurations of magnetic field, (3) slightlydifferent noise level or slightly different defocus included in the spatial PSFproduces no significant effect on the results and (4) temporal integrationshifts the field distribution to the stronger, more horizontally inclinedfield. Although the contribution of the weak field is slightly overestimateddue to noise, the 2D inversions are able to recover well the overalldistribution of the magnetic field strength. Application of the 2D inversioncode on the Hinode/SP internetwork observations reveals a monotonic fieldstrength distribution. The mean field strength at optical depth unity is $\sim130$~G. At the higher layers, field strength drops as the field becomes morehorizontal. Regarding the distribution of the field inclination, tests showthat we cannot directly retrieve it with the observations/tools at hand,however the obtained distributions are consistent with those expected fromsimulations with a quasi-isotropic field inclination after accounting forobservational effects.

Internetwork magnetic field as revealed by 2D inversions