With the continuous development of space optical technology, the aperture of optical system is becoming larger and larger, and the aperture of optical elements is required to be larger. When the traditional optical inspection means are used to detect optical elements such as large aperture optical plane, large aperture convex spherical surface and convex aspheric surface, optical reference mirror or optical auxiliary element with larger aperture than the detection element is usually needed, such as compensator and computer generated hologram (CGH) etc. However, these large-diameter optical reference mirrors and auxiliary components are not only difficult to process, but also have long processing cycle and high production cost. At the same time, some processing errors and assembly errors will be introduced. In order to solve these difficulties, this paper will introduce a modified phase retrieval (PR), which is phase-diversity phase retrieval (PDPR) algorithm can improve the PR accuracy of the unknown image, but also can provide a strong basis for the online testing of the future larger aperture astronomical telescope optical system and solve the difficulties in the detection of optical systems in space optical telescopes. Therefore, this study has important practical significance and application value in the online testing of the space optical telescope optical system.
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