Contribution to the Extragalactic Gamma-ray Background from the Cascades
  of Very-high Energy Gamma Rays
  As very-high--energy photons propagate through the extragalactic background
light (EBL), they interact with the soft photons and initiate electromagnetic
cascades of lower energy photons and electrons. The collective intensity of a
cosmological population emitting at very-high energies (VHE) will be attenuated
at the highest energies through interactions with the EBL and enhanced at lower
energies by the resulting cascade. We calculate the cascade radiation created
by VHE photons produced by blazars and investigate the effects of cascades on
the collective intensity of blazars and the resulting effects on the
extragalactic gamma-ray background. We find that cascade radiation greatly
enhances the collective intensity from blazars at high energies before turning
over due to attenuation. The prominence of the resulting features depends on
the blazar gamma-ray luminosity function, spectral index distribution, and the
model of the EBL. We additionally calculate the cascade radiation from the
distinct spectral sub-populations of blazars, BL Lacertae objects (BL Lacs) and
flat-spectrum radio quasars (FSRQs), finding that the collective intensity of
BL Lacs is considerably more enhanced by cascade radiation than that of the
FSRQs due to their harder spectra. As such, studies of the blazar contribution
to the EGRB by Fermi will have profound implications for the nature of the EBL,
the evolution of blazars, and blazar spectra.
