On the diagnostics of solar small scale magnetic fields

The model of small scale magnetic fields was proposed. The fields are described by two distribution functions: for unsigned magnetic field and for field vectors directions. The distribution functions were used to derive expressions for elements of the line absorption matrix and to deduce function that characterizes mutual cancellation of magnetic fields. We received the solutions for polarized radiative transfer problem within 3D MHD model of the solar photosphere and determined Stokes profiles parameters for two magnetosensitive lines Fe I λ525.0 nm and λ524.7 nm. The Stokes profiles parameters of the lines were used for further test diagnostics of small scale magnetic fields. A regression approach to diagnostics of the magnetic fields was proposed. The correlation between theoretical and reproduced parameters of small scale magnetic fields is greater than 0.95.