Paraxial Green's functions in Synchrotron Radiation theory

Details Paraxial Green's functions in Synchrotron Radiation theory Paraxial Green's functions in Synchrotron Radiation theory

2005-02-22

arxiv.org/abs/physics/0502120v1

Physics

Accelerator Physics

38 pages, 24 figures, 2 tables

Scientific paper

This work contains a systematic treatment of single particle Synchrotron Radiation and some application to realistic beams with given cross section area, divergence and energy spread. Standard theory relies on several approximations whose applicability limits and accuracy are often forgotten. We begin remarking that on the one hand, a paraxial approximation can always be applied without loss of generality and with ultra relativistic accuracy. On the other hand, dominance of the acceleration field over the velocity part in the Lienard-Wiechert expressions is not always granted and constitutes a separate assumption, whose applicability is discussed. Treating Synchrotron Radiation in paraxial approximation we derive the equation for the slow varying envelope function of the Fourier components of the electric field vector. Calculations of Synchrotron Radiation properties performed by others showed that the phase of the Fourier components of the electric field vector differs from the phase of a virtual point source. In this paper we present a systematic, analytical description of this phase shift, calculating amplitude and phase of electric field from bending magnets, short magnets, two bending magnet system separated by a straight section (edge radiation) and undulator devices. We pay particular attention to region of applicability and accuracy of approximations used. Finally, taking advantage of results of analytical calculation presented in reduced form we analyze various features of radiation from a complex insertion device (set of two undulators with a focusing triplet in between) accounting for the influence of energy spread and electron beam emittance.

Affiliated with

Also associated with

No associations

Rating

Paraxial Green's functions in Synchrotron Radiation theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Paraxial Green's functions in Synchrotron Radiation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Paraxial Green's functions in Synchrotron Radiation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399265