A. Meiksin et P. Madau, ON THE PHOTOIONIZATION OF THE INTERGALACTIC MEDIUM BY QUASARS AT HIGH-REDSHIFT, The Astrophysical journal, 412(1), 1993, pp. 34-55
We discuss the reionization of the intergalactic medium (IGM) by quasa
rs at high redshift. We compute the integrated UV background from obse
rved QSOs, taking into account the hydrogen opacity associated with in
tervening Lyalpha clouds and Lyman limit systems. We note that the pub
lished data appear to indicate a significant underdensity of absorptio
n systems in the Lyalpha forest with column densities N(HI) > 10(15) c
m-2. ThiS deficit, if real, would result in a reduction of the opacity
of the universe at high redshift by a factor of 1.5-3 relative to pre
vious estimates. The QSO contribution over the range z = 3-5 to the me
tagalactic flux at 912 angstrom may then be as large as 6[(1 + z)/4.5]
0.5 x 10(-22) ergs cm-2 s-1 Hz-1 sr-1 for q0 = 0, and 3 x 10(-22) ergs
cm-2 s-1 Hz-1 sr-1 for q0 = 0.5. We show that this ionizing flux is c
onsistent with current 1 sigma upper limits to the Gunn-Peterson optic
al depth tau(TG) at z congruent-to 3 if the density of the diffuse com
ponent of the IGM satisfies OMEGA(D)h50(2) less than or similar to 0.0
2. Models based on QSO photoionization can generate a value of tau(GP)
< 0.1 at z greater than or similar to 3.8 only in the case of a highl
y clumped medium. We argue that the Lyalpha forest may contain a large
fraction of the baryons in the universe and estimate the correspondin
g mass density parameter to be in the range 0.002 < OMEGA(Lyalpha) h50
< 0.05. We also set constraints on an alternative scenario in which t
he ''intercloud'' medium is collisionally ionized, and QSOs photoioniz
e the Lyalpha forest alone. We conclude that, within the uncertainties
, the observed QSOs can provide the required number of ionizing photon
s at early epochs in several of the models examined. If quasars turn o
n suddenly, the universe will be completely photoionized within DELTAz
less than or similar to 0.5 of the turn-on redshift. If instead, QSOs
turn on gradually, the associated H II regions may not have fully per
colated until z approximately 5-5.5. We argue that a new class of abso
rption systems, arising from intervening patches of neutral unprocesse
d material which have not yet been engulfed by an H II region, could b
e observed in the spectra of QSOs just beyond this breakthrough epoch.
We estimate their typical H I column densities, sizes, and velocity w
idths to be 10(18) - 10(20) cm-2, 0.1-1 Mpc, and 100-1000 km s-1. The
patches are expected to persist as distinct absorption features over a
n extended redshift interval of width DELTAz approximately 0.5-1. Even
tually, the increase of the equivalent widths of the lines with redshi
ft results in their collective formation of a Gunn-Peterson absorption
trough shortward of the Lyalpha emission line. We find that, for most
successful models, the patches appear when tau(GP) is still less than
unity. Because of the difficulty of measuring such small optical dept
hs at high z, due to the presence of the Lyalpha forest, neutral patch
es along the line of sight may provide the first unambiguous detection
of a diffuse, primordial IGM. The appearance of these systems would b
e a sensitive probe of the epoch of reionization. We also discuss the
radio signatures of the lines. Although our emphasis is on the photoio
nization of the IGM by QSOs, the formalism we develop, including the e
ffects of UV attenuation by intervening absorption systems, as well as
many of our results, applies to any discrete source of photoionizing
radiation of known number density, intensity, and spectrum.