We present in this paper a theoretical modeling and a numerical simulation devoted to the problem of transport and energy deposition profile of high current light ion beams interacting with dense matter. A numerical code, named MBC-ITFIP, is used to follow the trajectories of light atomic or molecular ions inside plasma targets with non-uniform density, temperature and composition profiles. MBC-ITFIP has been more specifically optimized for application of ion beams generated by the new high intensity laser sources, such as radiography and isochoric heating of dense plasmas.