Spectral and angular distributions of the synchrotron radiation of charged particles moving in constant magnetic fields

The theoretical study of the synchrotron radiation of charged particles moving in magnetic fields is important with respect to some astrophysical problems. The equations of spectral and angular distributions of the radiation power of N noninteracting charged particles moving in constant magnetic fields are obtained. The role of coherent factor SN in spectral and angular distributions of the synchrotron radiation are discussed. In case of the uniform distribution of the particles along the spiral the effects of redistribution of radiated energy are analyzed. In this case the Doppler effect determines the radiated frequencies and the redistribution of radiated energy. The effect of redistribution of the synchrotron radiation is described by the coherent factor. (Author)