On the similarity between Thomson scattering from high-intensity circularly polarised lasers and synchrotron radiation

Abstract

The mathematical similarity between Thomson Scattering (TS) and Synchrotron Radiation (SR) phenomena is elucidated, and some physical consequences are extracted from it. Analytical computations are reported in the frequency- and the time-domains so as to make this relationship more compelling. Algebraic equations for the relevant parameters implementing that similarity are obtained in the time-domain in their final form. Subsequently, those algebraic equations are numerically solved so as to make the connection available for a wide range of parameters in both phenomena. Prospects for a compact vacuum ultraviolet (VUV) or even x-ray source based on this analogy and using the interaction of high-intensity circularly polarized laser radiation with essentially monoenergetic electron beams are discussed.