The problem of electron excitation induced by interaction of charged particles with solids is investigated on theoretical grounds. The excitation probability is calculated both in homogeneous media and at surfaces. The surface wake potential, needed in the latter, is reviewed. The cases of transmission and aloof geometries are considered separately. Surface plasmons are shown to play a crucial role in the latter. An application to coincidence scanning transmission electron microscopy (STEM) experiments is also discussed. Finally, a spatial representation of the excitation probability is presented
