SDSS-IV MaStar: Quantification and Abatement of Interstellar Absorption in the Largest Empirical Stellar Spectral Library

We assess the impact of CaII 3934,3969 and NaI 5891,5897 absorption arising in the interstellar medium (ISM) on the SDSS-IV MaNGA Stellar Library (MaStar) and produce corrected spectroscopy for 80% of the 24,162-star catalog. We model the absorption strength of these transitions as a function of stellar distance, Galactic latitude, and dust reddening based upon high-spectral resolution studies. With this model, we identify 6342 MaStar stars that have negligible ISM absorption ($W^\mathrm{ISM}$(CaII K) $<0.07$ Ang and $W^\mathrm{ISM}$(NaI 5891) $<0.05$ Ang). For 12,110 of the remaining stars, we replace their NaI D profile (and their CaII profile for effective temperatures $T_{\rm eff}>9000$ K) with a coadded spectrum of low-ISM stars with similar $T_{\rm eff}$, surface gravity, and metallicity. For 738 additional stars with $T_{\rm eff}>9000$ K, we replace these spectral regions with a matching ATLAS9-based BOSZ model. This results in a mean reduction in $W$(CaII K) ($W$(NaI D)) of $0.4-0.7$ Ang ($0.6-1.1$ Ang) for hot stars ($T_{\rm eff}>7610$ K), and a mean reduction in $W$(NaI D) of $0.1-0.2$ Ang for cooler stars. We show that interstellar absorption in simple stellar population (SSP) model spectra constructed from the original library artificially enhances $W$(CaII K) by $\gtrsim20\%$ at young ages ($<400$ Myr); dramatically enhances the strength of stellar NaI D in starbursting systems (by ${\gtrsim}50\%$); and enhances stellar NaI D in older stellar populations (${\gtrsim}10$ Gyr) by ${\gtrsim}10\%$. We provide SSP spectra constructed from the cleaned library, and discuss the implications of these effects for stellar population synthesis analyses constraining stellar age, [Na/Fe] abundance, and the initial mass function.