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By exploiting the far-infrared(FIR) and radio correlation, we have performedthe Likelihood-Ratio analysis to identify optical counterparts to thefar-infrared sources in the Lockman Hole. Using the likelihood ratio analysisand the associated reliability, 44 FIR sources have been identified with radiosources. Redshifts have been obtained for 29 out of 44 identified sources. Onehyper-luminous infrared galaxy (HyLIRG) with and four ultraluminous infraredgalaxies (ULIRGs) are identified in our sample. The space density of the FIRsources at z = 0.3-0.6 is 4.6\times 10^{-5}Mpc^{-3}, implying a rapid evolutionof the ULIRG population. Most of \ISO FIR sources have their FIR-radio ratiossimilar to star-forming galaxies ARP 220 and M82. At least seven of our FIRsources show evidence for the presence of an active galactic nucleus (AGN) inoptical emission lines, radio continuum excess, or X-ray activity. Three out offive (60%) of the ULIRG/HyLIRGs are AGN galaxies. Five of the seven AGNgalaxies are within the ROSAT X-ray survey field, and two are within theXMM-Newton survey fields. X-ray emission has been detected in only one source,1EX030, which is optically classified as a quasar. The non-detection in theXMM-Newton 2-10 keV band suggests a very thick absorption obscuring the centralsource of the two AGN galaxies. Several sources have an extreme FIR luminosityrelative to the optical R-band, L(90\mu\mathrm{m})/L(R) > 500, which is rareeven among the local ULIRG population. While source confusion or blending mightoffer an explanation in some cases, they may represent a new population ofgalaxies with an extreme activity of star formation in an undeveloped stellarsystem -- i.e., formation of bulges or young ellipticals.Comment: 55 pages, 16 figures. To appear in A

the astronomical journal

Optical Identification of<i>Infrared Space Observatory</i>Far-Infrared Sources in the Lockman Hole Using a Deep Very Large Array 1.4 GHz Continuum Survey

Optical Identification ofInfrared Space ObservatoryFar-Infrared Sources in the Lockman Hole Using a Deep Very Large Array 1.4 GHz Continuum Survey