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Context. A growing body of evidence suggests that some, if not all, scattering regions of active galactic nuclei (AGNs) are clumpy. The inner AGN components cannot be spatially resolved with current instruments and must be studied by numerical simulations of observed spectroscopy and polarization data. Aims. We run radiative transfer models in the optical/UV for a variety of AGN reprocessing regions with di erent distributions of clumpy scattering media. We obtain geometry-sensitive polarization spectra and images to improve our previous AGN models and their comparison with the observations. Methods. We use the latest public version 1.2 of the Monte Carlo code stokes presented in the first two papers of this series to model AGN reprocessing regions of increasing morphological complexity. We replace previously uniform-density media with up to thousands of constant-density clumps. We couple a continuum source to fragmented equatorial scattering regions, polar outflows, and toroidal obscuring dust regions and investigate a wide range of geometries. We also consider different levels of fragmentation in each scattering region to evaluate the importance of fragmentation for the net polarization of the AGN. Results. In comparison with uniform-density models, equatorial distributions of gas and dust clouds result in grayer spectra and show a decrease in the net polarization percentage at all lines of sight. The resulting polarization position angle depends on the morphology of the clumpy structure, with extended tori favoring parallel polarization while compact tori produce orthogonal polarization position angles. In the case of polar scattering regions, fragmentation increases the net polarization unless the cloud filling factor is small. A complete AGN model constructed from the individual, fragmented regions can produce low polarization percentages (<2%), with a parallel polarization angle for observer inclinations up to 70° for a torus half opening angle of 60°. For type-2 viewing angles the polarization switches to perpendicular and rises to ~50%. Conclusions. Our modeling shows that the introduction of fragmented dusty tori significantly alters the resulting net polarization of an AGN. Comparison of our models to polarization observations of large AGN samples greatly favors geometrically compact clumpy tori over extended ones. [ABSTRACT FROM AUTHOR]

Context. The innermost parts of active galactic nuclei (AGNs) are believed to be comprised of several emission and scattering media coupled by radiative processes. These regions generally cannot be spatially resolved. Spectropolarimetric observations give important information about the reprocessing geometry. Aims. We aim to obtain a coherent model of the polarization signature resulting from the radiative coupling between the components, to compare our results with polarimetry of thermal AGNs, and thereby to put constraints on the geometry. Methods. We used a new public version of stokes, a Monte Carlo radiative transfer code presented in the first paper of this series. The code has been significantly improved for computational speed and polarization imaging has been implemented. The imaging capability helps to improve understanding of the contributions of different components to the spatially-integrated flux. We coupled continuum sources with a variety of reprocessing regions such as equatorial scattering regions, polar outflows, and toroidal obscuring dust and studied the resulting polarization. We explored combinations and computed a grid of thermal AGN models for different halfopening angles of the torus and polar winds. We also considered a range of optical depths for equatorial and polar electron scattering and investigated how the model geometry influences the type-1/type-2 polarization dichotomy for thermal AGNs (type-1 AGNs tend to be polarized parallel to the axis of the torus while type-2 AGNs tend to be polarized perpendicular to it). Results. We put new constrains on the inflowing medium within the inner walls of the torus. To reproduce the observed polarization in type-1 objects, the inflow should be confined to the common equatorial plane of the torus and the accretion disk and have a radial optical depth of 1 < τ < 3. Our modeling of type-1 AGNs indicates that the torus is more likely to have a large (>60°) half-opening angle. Polarization perpendicular to the axis of the torus may arise at a type-1 viewing angle for a torus half-opening angle of 30°-45° or polar outflows with an optical depth near unity. Our modeling suggests that most Seyfert-2 AGN must have a half-opening angle >60° to match the expected level of perpendicular polarization. If outflows are collimated by the torus inner walls, they must not be optically thick (τ < 1) to preserve the polarization dichotomy. Then, varying the wind's optical depth does not affect the degree of polarization of type-2 thermal AGNs but it has a significant impact on the type-1/type-2 polarization dichotomy when τ > 0.3. [ABSTRACT FROM AUTHOR]