Vy. Epp et al., PARAXIAL APPROXIMATION FOR THE CHARGE RADIATION IN A MAGNETIC-FIELD, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 359(1-2), 1995, pp. 38-40
The paraxial method for calculation of the relativistic charge radiati
on in a magnetic field is presented. The method is based on expanding
the motion and radiation formulae for a small angle between the veloci
ty vector and the trajectory axis. Some other conditions that allow us
to apply the method are determined. The obtained expressions for the
spectral and angular distribution of radiation do not contain the velo
city or acceleration of charge: they are expressed through the vector
potential on the trajectory axis.