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Spectro-polarimetric signatures of accretion disks in X-ray binaries andactive galactic nuclei contain information about the masses and spins of theircentral black holes, as well as the geometry of matter close to the compactobjects. This information can be extracted using the means of X-raypolarimetry. In this work, we present a fast analytical ray-tracing techniquefor polarized light \textsc{artpol} that helps obtain the spinning black holeparameters from the observed properties. This technique can replace theotherwise time-consuming numerical ray-tracing calculations. We show that\textsc{artpol} proves accurate for Kerr black holes with dimensionless spinparameter $a\leq0.94$ while being over four orders of magnitude faster thandirect ray-tracing calculations. This approach opens broad prospects fordirectly fitting the spectro-polarimetric data from the \textit{Imaging X-rayPolarimetry Explorer}.

artpol: Analytical ray-tracing method for spectro-polarimetric properties of accretion disks around Kerr black holes