SUPPORTING INFORMATION Energy losses and transition radiation in multi-layer graphene traversed by a fast charged particle Kamran Akbari, ∗,† Zoran L. Miškovi´ c, ∗,†,‡ Silvina Segui, ∗,¶,§ Juana L. Gervasoni, ¶,§,∥ and Néstor R. Arista ∥,¶ †Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 ‡Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 ¶Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, Av. Bustillo 9500, 8400 S.C. de Bariloche, Argentina §Consejo Nacional de Investigaciones Científicas y Técnicas of Argentina (CONICET) ∥Instituto Balseiro, Universidad Nacional de Cuyo E-mail: kakbari@uwaterloo.ca; zmiskovi@uwaterloo.ca; segui@cab.cnea.gov.ar In this Supporting Information we elaborate on derivations presented in the Theory section of the Main text and we discuss several additional results, which complement and expand upon those presented in the Results and Discussion section of the Main text. There are 33 pages and 18 figures in this Supporting Information. S1