Abstract
The formulation of the problem is due to the fact that the spectral properties of radiation in alternating magnetic fields, as compared with homogeneous fields, differ little, but the angular characteristics depend significantly on betatron oscillations. Because the dynamics of an electron in the magnetic systems of accelerators is rather complicated, a number of simplifications has been made here. The asymptotic formulas for the spectral and angular distributions of the radiation intensity with the first quantum correction have been obtained by Schwinger’s operator method. For them, as well as for the angular characteristics of synchrotron light, approximate expressions are given, allowing researchers to determine the desired properties of photon emission at certain points of the electron orbit.
Highlights
The existing theory of synchrotron radiation has heretofore been developed mainly for uniform magnetic fields [1,2,3,4]
The formulation of the problem is due to the fact that the spectral properties of radiation in alternating magnetic fields, as compared with homogeneous fields, differ little, but the angular characteristics depend significantly on betatron oscillations
In the present paper, using the beta function concept, we attempt to extend the theory to more general magnetic structures, including storage rings
Summary
The existing theory of synchrotron radiation has heretofore been developed mainly for uniform magnetic fields [1,2,3,4]. Electrons accelerating in periodic magnetic fields perform transverse oscillations which can noticeably affect the angular and polarization properties of the emitted radiation. It would be reasonable to formulate the photon emission problem in the non-uniform magnetic field. Such an analysis would, among other things, motivate the development of more comprehensive beam diagnostics and enhance the precision of experiments involving polarized synchrotron radiation. The effect of betatron oscillations on synchrotron radiation was first discussed in [7] for an axisymmetric magnetic field. In the present paper, using the beta function concept, we attempt to extend the theory to more general magnetic structures, including storage rings
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call