Modeling of field electron emission current with hemispherical protrusions consideration Serhii Lebedynskyi, Ihor Musiienko, Yuliia Lebedynska, Mykhailo Diachenko and Roman Kholodov Eur. Phys. J. D, 77 11 (2023) 192 Published online: 07 November 2023 DOI: 10.1140/epjd/s10053-023-00775-6