As to the need of low distortion MWIR optical system with high resolution and large width, the initial structure of the coaxial two-mirror and the relay optical system were calculated based on the aberration theory and Gauss’s optical imaging formula. According to the aberration auto-balance optimization of optical design software, the aspheric surface is introduced to correct residual aberration, and the compact requirement of infrared optical system was realized. Focal length 2000mm, F number 3, field of view 3°×0.5°, the operating wave band 3~5μm and 100% cold shied efficiency reached. High imaging quality was realized. The modulation transfer function of the system exceed 0.34 all over the field of view at the Nyquist frequency of 33lp/mm, and the relative distortion below 0.1%.The results of the design revealed the target depth that can be realized by the coaxial two-mirror system and relay optical system. The system can achieved a resolution 3.75m and a width of 26km.
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