Sparse aperture optical system is arranged by a number of small apertures or reflective optical systems according to certain rules. It reduces the processing difficulty, the weight and the cost of the telescope system while its resolution is equivalent to that of a single-aperture telescope system. In this paper, the Cassegrain telescope system with three sub-mirror sparse aperture primary mirror as the spherical surface is used as the initial structure and optimized. The freeform surface is introduced into the sparse aperture optical system to increase the freedoms of optical design, balance aberrations and improve the imaging quality. On this basis, the three sub-mirror sparse aperture with freeform surface is designed and its image quality is analyzed.
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