In this paper, the position error modeling of the three-element Risley-prism beam scan system is established and the exact expressions of the beam pointing errors are derived by ray tracing based on the Snell’s law. The impacts of the tilt error of three-element prisms and the tilt error of the bearing position on the beam pointing accuracy are graphically presented with analytical and numerical results. According to the given pointing accuracy requirements, the allowable limit values of assembly errors are calculated, which is of practical significance for improving the design level of threeelement prisms. The analysis method in this paper is universal for the analysis of the assembly error of other cascade prisms.
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