| The developing trend of the space optical system throughout the world is towards long focal length, broad view field, small dimension, great relative aperture, light weight and high resolution imaging, that increase the interest of scientists on reflective system designing. On-axis double-mirror systems and multi-mirror reflective systems have being successfully used in the space remote sensing field, and achieved the remote sensing picture with high resolution. But the performance of the traditional optical system is limited to a certain degree. This is caused mainly by the available view field of on-axis reflective system, the dimension of the territory observed, moreover, the MTF of the system is limited by the central shelter in on-axis system.It is incomparable between off-axis systems and on-axis systems for enlarging the field coverage, enhancing the discerning potential and restraining straylight etc. So it attracts more and more optical designers' attention. It is a difficult problem to study the aberration theory of off-axis systems and use the theory to gain insights and understandings to those designs. The paper studies thoroughly on the off-axis systems linking with a certain practical item from aberration theory, system types, designing principles and designing methods, ect. And design a tri-mirror off-axis optical system satisfied the requirement based on a certain engineering project with wide field with 3°×3°, long focus with 1000mm and F/# with 1/8. The MTF of the system's center field near it's limiting diffraction and the MTF of it's edge field arrive at 0.4 while spatial frequency in cycles pre millimeter is 501p/mm; the circle of confusion control in 10um. This kind...
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