  The lateral and longitudinal profiles of hadronic showers detected by a
prototype of the ATLAS Iron-Scintillator Tile Hadron Calorimeter have been
investigated. This calorimeter uses a unique longitudinal configuration of
scintillator tiles. Using a fine-grained pion beam scan at 100 GeV, a detailed
picture of transverse shower behavior is obtained. The underlying radial energy
densities for four depth segments and for the entire calorimeter have been
reconstructed. A three-dimensional hadronic shower parametrization has been
developed. The results presented here are useful for understanding the
performance of iron-scintillator calorimeters, for developing fast simulations
of hadronic showers, for many calorimetry problems requiring the integration of
a shower energy deposition in a volume and for future calorimeter design.
