Analytical calculation of proton beam Bragg curve inside heterogeneous media Behzad Aminafshar, Hamid Reza Baghani and Ali Asghar Mowlavi Eur. Phys. J. Plus, 139 12 (2024) 1093 Published online: 14 December 2024 DOI: 10.1140/epjp/s13360-024-05886-6