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This paper shows the first synthetic tomography of the quiet solarchromosphere formed by spatial maps of scattering polarization. It has beencalculated for the CaII 8498, 8542 and 3934 A lines by solving the NLTE(non-local thermodynamical equilibrium) RT (radiative transfer) problem of thesecond kind in a 3D atmosphere model obtained from realistic MHD(magneto-hydrodynamical) simulations. Maps of circular polarization werecalculated neglecting atomic polarization. Our investigation focuses on thelinear polarization signals induced by kinematics, radiation field anisotropyand Hanle effect in forward-scattering geometry. Thus, instead of consideringslit profiles at the limb as normally done in the study of the second solarspectrum, we synthetize and analyze spatial maps of polarization at diskcenter. It allows us to understand the spatial signatures of dynamics andmagnetic field in the linear polarization for discriminating themobservationally. Our results suggest new ideas for chromospheric diagnosis thatwill be developed throughout a serie of papers. In particular, Hanle PolarityInversion Lines and dynamic Hanle diagrams are two concepts introduced in thepresent work. We find that chromospheric dynamics and magnetic field topologycreate spatial fingerprints in the polarization maps that trace the dynamicsituation of the plasma and the magnetic field. Based on such spatial featureswe reconstruct the magnetic field intensity in the middle chromosphere alonggrooves of null linear polarization. We finally address the problems ofdiagnosing Hanle saturation and kinematic amplification of scattering signalsusing Hanle diagrams.

Chromospheric diagnosis with Ca II lines: forward modeling in forward scattering (I)