Optical zoom system plays an important role application in high precision opto-electronic imaging for the high-speed moving target imaging. The novel stabilized zoom stabilization system based on deformable mirrors(DMs) has a future application prospect in integrating fast doubling, accurate focusing, image plane stabilization and aberration compensation. In this paper, we design a reflective zoom structure including the front group and the rear group. The double DMs and the reflective mirrors form the Combined Telephoto and Reversed-Telephoto structure, which achieve the zoom of the system and correct the off-axis aberration during the whole focal length. The fixed reflective mirror in rear group is used to compress the optical length and keep the image stabilized. We make full use of effective diameter range of DMs and the flexible deformations amount of actuator strokes to achieve the freeform surfaces in the system. It achieves a high zoom ratio of 14.52 and 5 milliseconds of zooming time from Wide-angle and Telephoto. This optical system is conducive to further achieving high zoom efficiency and high speed in the stabilized zoom system based on DMs.
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