The single-scattering phase functions of polyhedral-shaped ice particl
es are calculated by means of geometric optics and the diffraction the
ory. Particle orientation is assumed to be random in space. Particle s
hapes are taken both from ice-crystal classifications and from in situ
measurements. The effects of particle concavity on the scattering sig
nature are discussed in detail. A common feature is the pronounced for
ward-scattering peak, as well as different halo peaks that are due to
a minimum deviation at corresponding ice prisms. An unusual halo pheno
mena, which results from a minimum deviation in a double-prism configu
ration, is found and verified. The comparison of different particle ty
pes shows that backscattering is a sensitive indicator for the identif
ication of types of ice-crystal. Aggregate particles, like bullet rose
ttes, basically show the scattering characteristics of their individua
l components.