Mirror systems have many advantages, such as light weight, free of chromatic aberrations, high thermal stability, etc. Such optical systems have received considerable attention as a critical technique in aerospace systems. The way to design reflective zoom system has been developed since 1980s. During this period, the mirror optical zoom systems employed the mechanical devices to move one or more elements to vary the focal lengths, they did not have stable image surfaces, and the initial configuration designed more by experience. In 2009, Seidl et al. designed a mirror system without obscuration by changing the surface shape of the deformable mirror [
1,
2], then this kind of zoom systems that use active optical elements has developed, the active optical elements include spatial light modulators, liquid lens, and deformable mirror [
3–
7], but the variable scope are limited, and the price are expensive, they are mainly used in laboratory research at the present stage, mechanical zoom optical system has great prospect in practical application.