推导了以反射式两镜系统为主体的红外成像系统中满足光瞳匹配要求的转像透镜的高斯光学参量与两镜系统参量的关系式。当选定红外焦平面的冷屏直径及到焦面的距离后,转像透镜与两镜系统的高斯光学参量之间必须满足这个关系式,才能做到光瞳匹配,这就是冷屏为系统的出瞳,而入瞳是主反射镜的口径。消像差由主镜、副镜的非球面及转像透镜上的一个非球面承担。用实例计算验证了所推导出的公式的可靠性,红外系统的口径取为250 mm,红外接收器的冷屏直径为5 mm,冷屏到红外像面的距离为20 mm。两镜系统主镜的曲率半径选定为-1000 mm及-800 mm两个值,两镜系统焦距为2000 mm,1500 mm及1000 mm三个。共计算了六种结构参量不同的系统。

The formulae of Gaussian parameters between the relay lens and the(two-mirror) system are derived. They satisfy the condition of exit pupil of the IR system matching the cold stop of the IR sensor. Once the diameter of the cold stop and its distance to the image plane are confirmed, the Gaussian parameters of the relay lens and the two-mirror system must satisfy these formulae, then the exit pupil will coincide with the cold stop. The elimination of aberrations may be done by aspherization of the primary and secondary mirrors and one surface of the relay lens. In order to prove the efficiency of the derived formulae,(6 real) systems are solved. The diameter of the IR system is taken as 250 mm, the diameter of the cold stop is 5 mm, and the distance between the cold stop and the IR image plane is(20 mm.) The radius of curvature of the primary mirror has two values:(-1000 mm) and(-800 mm,) the focal length of the two-mirror system:(2000 mm,)(1500 mm) and(1000 mm.) So,there are 6 systems with different constructive data are calculated.