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With unprecedented angular resolution, the Event Horizon Telescope (EHT) hasopened a new era of black holes. We have previously calculated the expectedpolarization images of M87* with the EHT observations in mind. There, wedemonstrated that circular polarization (CP) images, as well as the linearpolarization (LP) maps, can convey quite useful information to us, such as theflow structure and magnetic field configuration around the black hole. In thispaper, we make new predictions for the cases in which disk emission dominatesover jet emission, bearing Sgr A* in mind. Here we set the proton-to-electrontemperature ratio of the disk component to be Tp/Te $\sim$ 2 so as to suppressjet emission relative to emission from accretion flow. As a result, we obtainring-like images and triple-forked images around the black hole for face-on andedge-on cases, respectively. We also find significant CP components in theimages ($\gtrsim 10\%$ in fraction), both with positive and negative signs,amplified through the Faraday conversion, not sensitively depending on theinclination angles. Furthermore, we find a "separatrix" in the CP images,across which the sign of CP is reversed and on which the LP flux is brightest,that can be attributed to the helical magnetic field structure in the disk.These results indicate that future full polarization EHT images are a quiteuseful tracer of the magnetic field structure. We also discuss to what extentwe will be able to extract information regarding the magnetic fieldconfigurations, under the scattering in the interstellar plasma, in future EHTpolarimetric observations of Sgr A*.

Polarization images of accretion flow around supermassive black holes: imprints of toroidal field structure