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Using data from ALMA and near-infrared (NIR) integral field spectrographsincluding both SINFONI and KMOS on the VLT, we investigate the two-dimensionaldistributions of H$\alpha$ and rest-frame far-infrared (FIR) continuum in sixsubmillimeter galaxies at $z\sim2$. At a similar spatial resolution ($\sim$0.5"FWHM; $\sim$4.5 kpc at $z=2$), we find that the half-light radius of H$\alpha$is significantly larger than that of the FIR continuum in half of the sample,and on average H$\alpha$ is a median factor of $2.0\pm0.4$ larger. Havingexplored various ways to correct for the attenuation, we find that theattenuation-corrected H$\alpha$-based SFRs are systematically lower than theIR-based SFRs by at least a median factor of $3\pm1$, which cannot be explainedby the difference in half-light radius alone. In addition, we find that in 40%of cases the total $V$-band attenuation ($A_V$) derived from energy balancemodeling of the full ultraviolet(UV)-to-FIR spectral energy distributions(SEDs) is significantly higher than that derived from SED modeling using onlythe UV-to-NIR part of the SEDs, and the discrepancy appears to increase withincreasing total infrared luminosity. Finally, considering all our findingsalong with the studies in the literature, we postulate that the dustdistributions in SMGs, and possibly also in less IR luminous $z\sim2$ massivestar-forming galaxies, can be decomposed into three main components; thediffuse dust heated by older stellar populations, the more obscured andextended young star-forming HII regions, and the heavily obscured centralregions that have a low filling factor but dominate the infrared luminosity inwhich the majority of attenuation cannot be probed via UV-to-NIR emissions.

astronomy and astrophysics

Extended H$\alpha$ over compact far-infrared continuum in dusty  submillimeter galaxies -- Insights into dust distributions and star-formation  rates at $z\sim2$