  In this paper we systemically study the optical conductivity and density of
states of disorded graphene beyond the Dirac cone approximation. The optical
conductivity of graphene is computed by using the Kubo formula, within the
framework of a full \pi-band tight-binding model. Different types of
non-correlated and correlated disorders are considered, such as random or
Gaussian potentials, random or Gaussian nearest-neighbor hopping parameters,
randomly distributed vacancies or their clusters, and random adsorbed hydrogen
atoms or their clusters. For a large enough concentration of resonant
impurities, a new peak in the optical conductivity is found, associated to
transitions between the midgap states and the Van Hove singularities of the
main \pi-band. We further discuss the effect of doping on the spectrum, and
find that small amounts of resonant impurities are enough to obtain a
background contribution to the conductivity in the infra-red part of the
spectrum, in agreement with recent experiments.
