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Extinction ratio is one of important parameters which are characterization of optical properties of Glan-Taylor prism(GTP).In this paper, we adopt the ray tracing method to deduce the extinction ratio expression of the GTP.By performing the computer simulation,some important relationship curves are obtained as the variations of the extinction ratio on optical axes and the structural angle, the work has great guiding significance in the design and use of Glan-Taylor prism.