To study the transmission property of the square polycapillary x-ray lens and verify its feasibility using in the x-ray pulsar navigation a geometrical description of it and the basic theory of the transmission of x-rays are presented. A method of numerical calculation is developed based on ray-tracing theory. The method simulates the intensity distribution and calculates the transmission efficiency of x-rays propagating through a square polycapillary lens. The transmission rule of the x-ray propagation in the x-ray lens can be got, after tracing a large number of x-ray beams. A program based on ray-tracing method was designed to simulate the transmission efficiency of an x-ray lens and the light spot gained from it. The transmission property of the square polycapillary x-ray lens is studied based on this program. And the study shows that the transmission property of the square polycapillary x-ray lens is good, and it has the potential of being used in the area of x-ray pulsar navigation.
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