We study the wake effect due to excitation of a plasmon-phonon hybrid mode in a sandwich-like structure consisting of two doped graphene sheets, separated by a layer of Al2O3 (sapphire), which is induced by an external charged particle moving parallel to the structure.29th Summer School and International Symposium on the Physics of Ionized Gases - SPIG 2018, August 28 - September 1, 2018, Belgrade