Improvement of undulator radiation intensity using edge radiation

Abstract

Abstract The intensification of undulator radiation caused by the application of edge radiation due to a relativistic electron passing through a straight section is analytically and numerically investigated. Here, the modification of the undulator orbit shape of the cosine wave function to a triangular wave function is shown to increase the peak radiation for an undulator. The principle of the intensification effect is based on the superimposition of the edge radiation field from tilted straight sections, which create the triangular wave orbit. The tilt angles for the straight sections have values of ± 1 / γ rad for the longitudinal axis of the undulator, where γ is a relativistic factor. The longitudinal length of a straight section has a value of λ 0 γ 2 / 2 for a radiation wavelength λ 0 . Using a simple model, an analytical equation for the radiation intensity for an undulator with a triangular orbit is derived. The results obtained using the equation are in agreement with those obtained using a numerical radiation code. The peak radiation intensity is estimated to be about two times larger than that of an ordinary planar undulator with K = 1 and the same longitudinal length.