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We present a new multi-component spectral energy distribution (SED)decomposition method and use it to analyze the ultraviolet to millimeterwavelength SEDs of a sample of dusty infrared-luminous galaxies. SEDs areconstructed from spectroscopic and photometric data obtained with the SpitzerSpace Telescope, in conjunction with photometry from the literature. Each SEDis decomposed into emission from populations of stars, an AGN accretion disk,PAHs, atomic and molecular lines, and distributions of graphite and silicategrains. Decompositions of the SEDs of the template starburst galaxies NGC7714and NGC2623 and the template AGNs PG0804+761 and Mrk463 provide baselineproperties to aid in quantifying the strength of star-formation and accretionin the composite systems NGC6240 and Mrk1014. We find that obscured radiationfrom stars is capable of powering the total dust emission from NGC6240,although we cannot rule out a contribution from a deeply embedded AGN visibleonly in X-rays. The decomposition of Mrk1014 is consistent with ~65% of itspower emerging from an AGN and ~35% from star-formation. We suggest that manyof the variations in our template starburst SEDs may be explained in terms ofthe different mean optical depths through the clouds of dust surrounding theyoung stars within each galaxy. Prompted by the divergent far-IR properties ofour template AGNs, we suggest that variations in the relative orientation oftheir AGN accretion disks with respect to the disks of the galaxies hostingthem may result in different amounts of AGN-heated cold dust emission emergingfrom their host galaxies. We estimate that 30-50% of the far-IR and PAHemission from Mrk1014 may originate from such AGN-heated material in its hostgalaxy disk.

Decomposing Dusty Galaxies. I. Multi-Component Spectral Energy Distribution Fitting