Abstract
The approximate analytic formula is obtained which describes theradiation intensity in the Tamm problem (charge motion on a finiteinterval) on finite distances. For the typical experimental situation, theangular spectrum of the Cherenkov radiation broadens enormously anddiffers essentially from that predicted by the Tamm formula. In addition,the approximate analytic formula is found which takes into account boththe deceleration of a charge due to the energy losses and a finitedistance of the observation point. Both these effects contribute to thebroadening of the angular spectrum. The approximate analytic formulae arein close agreement with the exact numerical calculations for the realexperimental situation. These formulae are applied to the description ofCherenkov radiation produced by relativistic heavy ions in the Darmstadtexperiments. An experiment is proposed to check the broadening of theCherenkov angular spectrum arising from its measurement on finitedistances.
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