
We performed the synthetic multiband analysis to find the best ALMA band set for constraining the dust properties of the TW Hya protoplanetary disk. We find two conditions for the good ALMA band sets providing narrow constraint ranges on dust properties; 1) Band 9 or 10 is included in the band set and 2) Enough frequency intervals between the bands. These are related with the conditions which give good constraints on dust properties; including both optically thick and thin bands in the band set, large β (κν ∝ νβ), and low dust temperature at high-frequency bands. To examine our synthetic analysis results, we apply the multiband analysis to ALMA archival data of the TW Hya disk at Band 4, 6, 7, and 9. Band [9,6,4] set provides the dust properties close to the model profile with narrow constraint ranges, while Band [7,6,4] set shows the deviations of dust properties from the model profile with too broad constraint range to specify the values. Based on these features, we conclude that the synthetic multiband analysis is well consistent with the results derived from real data.
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