Abstract. The international PolFusion experiment devoted to investigation of nuclear dd-fusion reaction with polarized initial particles is considered. A mathematical model of the polarized source is proposed to simulate high intensity polarized beams using calculation and optimization of the atomic trajectories in high-gradient magnetic fields. A significant achievement of the described model is calculation of three-dimensional trajectories instead of cylindrical two-dimensional calculations used in former models. Basic approaches used in the trajectories calculations are described, results of calculation carried out for ANKE ABS polarized source are presented as an illustration. An advantage of the three-dimensional approach is demonstrated.

Keywords: polarized nuclear fusion, atomic beam source, mathematical simulation of atomic beams, hydrogen, deuterium

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