The dynamic envelope curve measurement of high-speed train based on linear CCDs has the advantage of high measuring frequency and speed, and the design of cylindrical lens for linear CCD is essential. A design of cylindrical lens for linear CCD is presented according to the actual measurement requirements. A double-Gauss objective is selected as the basic type in ZAMAX. By appropriately changing the surface of the lens, adjusting various parameters and multiple optimizations, the optical structure is defined. The design can fulfill the requirement of the actual measurement system. Furthermore, by analyzing the image distortion characteristics of cylindrical lens, a kind of distortion model is built. According to the distortion cure of the final optical structure, the cylindrical lens distortion formula is defined based on the primary aberration theory, which provides the basis for the distortion correction of one-dimensional camera.
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