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We consider the integral light polarization from optically thick accretiondisks. Basic mechanism is the multiple light scattering on free electrons(Milne's problem) in magnetized atmosphere. The Faraday rotation of thepolarization plane changes both the value of integral polarization degree $p$and the position angle $\chi $. Besides, the characteristic spectra of thesevalues appear. We are testing the known relation between magnetic field ofblack hole at the horizon $B_{BH}$ and its mass $M_{BH}$, and the usualpower-law distribution inside the accretion disk. The formulae for $p(\lambda)$and $\chi(\lambda)$ depend on a number of parameters describing the particulardependence of magnetic field in accretion disk (the index of power-lawdistribution, the spin of the black hole, etc.). Comparison of our theoreticalvalues of $p$ and $\chi $ with observed polarization can help us to choice morerealistic values of parameters if the accretion disk mechanism gives the maincontribution to the observed integral polarization. The main content isconnected with estimation of validity of the relation between $B_{BH}$ and$M_{BH}$. We found for the AGN NGC 4258 that such procedure does not confirmthe mentioned correlation between magnetic field and mass of black hole.

The Black Hole Mass and Magnetic Field Correlation in AGN: Testing by Optical Polarimetry