Space density of optically selected type 2 quasars

Type 2 quasars are luminous active galactic nuclei whose central regions are obscured by large amounts of gas and dust. In this paper, we present a catalog of type 2 quasars from the Sloan Digital Sky Survey, selected based on their optical emission lines. The catalog contains 887 objects with redshifts z < 0.83; this is 6 times larger than the previous version and is by far the largest sample of type 2 quasars in the literature. We derive the [O III]5007 luminosity function (LF) for 10^8.3 L < L _{[O III]} < 10¹⁰ L (corresponding to intrinsic luminosities up to M[2500 ] ≃ -28 mag or bolometric luminosities up to 4 × 10⁴⁷ erg s ^-1). This LF provides robust lower limits to the actual space density of obscured quasars due to our selection criteria, the details of the spectroscopic target selection, and other effects. We derive the equivalent LF for the complete sample of type 1 (unobscured) quasars and determine the ratio of type 2 to type 1 quasar number densities. Our data constrain this ratio to be at least 1.5:1 for 10^8.3 L < L _{[O III]} < 10 ^9.5 L at z < 0.3, and at least 1.2:1 for L _{[O III]} 10¹⁰ L at 0.3 < z < 0.83. Type 2 quasars are at least as abundant as type 1 quasars in the relatively nearby universe (z ≲ 0.8) for the highest luminosities.