With the wide application of infrared searching and tracking system, variable field of view or zoom optical system is needed to realize the function of searching targets in wide field of view and identifying targets in narrow field of view. The traditional fixed F-number optical system often ensures that the aperture utilization is 100% in narrow field of view. When switching to wide field of view, the aperture is greatly reduced and the energy acquisition efficiency is reduced. Therefore, optical systems with variable F-number highlight the advantages gradually for gaining more target energy to improve detection capability. This paper offers an optical design of cooled mid-infrared system with variable F-number. The operating band is 3.7μm -4.8μm, and the focal length of NFOV is 300mm, F-number is 4, the focal length of WFOV is 150mm, F-number is 2, both of the aperture isФ75mm. The energy acquisition efficiency of variable F-number optical system is four times that of fixed F-number optical system. Therefore, the target search in wide field of view can detect weaker infrared targets or achieve longer detection distance, which greatly improves the system capability.
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