  Laser-driven ion beams are defined by a number of unique features, including
a large spread in energy. A stack configuration of radiochromic film (RCF) can
be utilized to characterize such beams through measurements of their energy
spectra. A spectroscopic procedure is reported that allows the proton energy
density within each active layer of a radiochromic film (RCF) stack to be
retrieved. This is based upon on a deconvolution algorithm developed through
Geant4 Monte Carlo simulations to correct the contributions of energy
depositions within a given film layer. Through Monte Carlo calculations, the
spectrum retrieved from a simulated film stack can be retrieved and compared
with a known energy spectrum, providing an examination of the efficacy of this
tool. Application of the developed deconvolution procedure thus offers the
potential to correctly reconstruct the incident energy spectrum of a
laser-driven proton and ion beam from a stack of irradiated RCF.
