  Identification of Cherenkov light generated by muons has been suggested as a
promising way to dramatically improve the background rejection power of Imaging
Atmospheric Cherenkov Telescope (IACT) arrays at high energies. However, muon
identification remains a challenging task, for which efficient algorithms are
still being developed. We present an approach in which, rather than identifying
Cherenkov light from muons, we simply consider the presence of Cherenkov light
other than the main shower image in IACTs with large mirror area. We show that
in the case of the H.E.S.S. array of five telescopes this approach results in
background rejection improvements at all energies above 1 TeV. In particular,
the rejection power can be improved by a factor $\sim3-4$ at energies above 20
TeV while keeping $\sim90\%$ of the original gamma-ray efficiency.
