FLUCTUATIONS IN THE IONIZING BACKGROUND DURING AND AFTER HELIUM REIONIZATION

The radiation background above the ionization edge of He II varies strongly during and after helium reionization, because the attenuation length of such photons is relatively short (less than or similar to 40 Mpc) and because the ionizing sources (quasars) are rare. Here we construct analytic and Monte Carlo models to examine these fluctuations, including, for the first time, those during the reionization era itself. In agreement with detailed numerical simulations, our analytic model for the post-reionization universe predicts order-of-magnitude fluctuations in the He II ionization rate G. Observations of the hardness ratio He II/H I show somewhat larger fluctuations, which may be due to more complicated radiative transfer effects. During reionization, the fluctuations are even stronger. In contrast to hydrogen reionization, our model predicts that regions with strong He II Ly alpha forest transmission should be reasonably common even during the beginning stages of reionization, because of strong illumination from nearby bright quasars. Partly because of this, the mean ionizing background does not evolve strongly during and after helium reionization; it is roughly proportional to the filling fraction of He III regions. On the other hand, regions full of He II and also fossil- ionized regions that contain no (or few) active sources appear as strong intergalactic absorbers. Their presence exaggerates the evolution of the hardness ratio, making it evolve more strongly than naively expected during the reionization era.