Investigation of edge radiation intensification effect generated by periodic alignment of three-pole wigglers

Abstract

Abstract The intensification effect of edge radiation due to the periodic alignment of three-pole wigglers was analytically and numerically investigated. The general equation of the electric field of the radiation from relativistic an electron passing through the alignment was obtained by using a simple model. The model consists of an alternating alignment of straight sections and large gradient orbit sections due to the three-pole wigglers. Based on the radiation equation, various radiation properties such as spatial distribution and spectrum structure were studied. The angular distribution of the radiation was concentrated on concentric circles with an opening angle of order of 1 / γ rad along the longitudinal axis of the periodic alignment. The peak intensity of the radiation in the opening angle area was roughly in the same order as that of the peak radiation of a planar undulator. The integrated intensity around the opening angle area was mostly equivalent to that around the peak area of the planar undulator radiation. The spectrum of the radiation had a characteristic structure that was rather similar to the higher harmonic structure of undulator radiation. Furthermore, a numerical study showed that a general planar undulator with a K value of 2 satisfies approximately the radiation intensification condition due to the periodic alignment of the three-pole wigglers. The intensified edge radiation effect is considered to be included in the radiation of the planar undulator.