Abstract
To remove obstacles against an instantaneous acceleration and deceleration of charge in the Tamm problem, we consider charge motion on a finite space interval with finite acceleration and deceleration. When the charge velocity coincides with the velocity of light in the medium, a new shock wave (in addition to the Cherenkov shock wave) arises which propagates with the light velocity in the medium. The angular-frequency distribution of the emitted radiation crucially depends on the radius of the sphere on which the observations are made.
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