Nobel prize to P. A. Cerenkov, I. M. Frank, and I. E. Tamm awarded in 1958 "for the discovery and the interpretation of the Cerenkov effect''
Tamm, I.E.; Frank, I.M.; Coherent Radiation of Fast Electrons in a Medium
Doklady Akad. Nauk SSSR 14 (1937) 107;
Reprinted in Selected Papers of Soviet Physicists, Usp. Fiz. Nauk 93 (1967) 388.
The observations of Cerenkov on the visible radiation emitted during the passage of fast electrons through matter are explained qualitatively and quantitatively on the assumption that an electron moving with uniform velocity radiates light if its velocity is greater than that of light in the medium traversed. In this case, that is when n > 1 where n is the refractive index of the medium, the total energy W radiated by an electron through the surface of a
cylinder of length 1, whose axis is in the direction of motion of the electron, is given by W = (e2l/c2)int wdw(1 - 1/2n2) where w is a characteristic frequency of a molecule of the medium. In the visible region about 10 photons are emitted by each fast electron. (Science Abstract, 1937, 2082. F.C.C.).
Related references See also P. A. Cerenkov, Doklady Akad. Nauk SSSR 2 (1934) 451;
P. A. Cerenkov, Doklady Akad. Nauk SSSR 3 (1936) 414;
A. Sommerfeld, Gött. Nachrichten 99 (1904) 201;
A. Sommerfeld, Gött. Nachrichten 99 (1904) 363;
S. I. Vavilov, Doklady Akad. Nauk SSSR 2 (1934) 457;
Theoretical explanation of Cerenkov radiation phenomenon.