A semi-analytical algorithm for modelling Compton gamma-ray beams
Compton scattering of a laser beam with a relativistic electron beam has been used to generate an intense, highly polarized, and nearly monoenergetic gamma-ray beam at several facilities. The ability of predicting the spatial and spectral distributions of a Compton gamma-ray beam is crucial for the optimization of the operation of a Comp-ton light source as well as for the applications utilizing the Compton beam. In this paper, we present an analytical algorithm for modelling Compton scattering process. Based upon this algorithm, we developed a numerical integration code to produce smooth results for the spatial and spectral distributions of the Compton beam. This code has been used to characterize the High Intensity Gamma-ray Source (HIγS) at Duke University for varying electron and laser beam parameters as well as different gamma-ray beam col-limation conditions.