  In \u{C}erenkov radiation and transition radiation, evanescent wave from
motion of charged particles transfers into radiation coherently. However, such
dissipative motion-induced radiations require particles to move faster than
light in medium or to encounter velocity transition to pump energy. Inspired by
a method to detect cloak by observing radiation of a fast-moving electron bunch
going through it by Zhang {\itshape et al.}, we study the generation of
electron-induced radiation from electrons' interaction with Maxwell's fish-eye
sphere. Our calculation shows that the radiation is due to a combination of
\u{C}erenkov radiation and transition radiation, which may pave the way to
investigate new schemes of transferring evanescent wave to radiation.
