折反射式周视红外成像系统在安全监视领域有着独特的大视场优势，但是目前常见的圆锥曲面反射镜折反射式周视系统存在不同俯仰角下探测距离差异大的问题。折反射式周视红外成像系统的探测距离与目标尺度、任务准则、俯仰角和方位角分辨力有关。将俯仰角分辨力和方位角分辨力的几何平均数设为常数，以此作为恒等探测距离折反射式周视系统的条件，并推导了相应的系统设计方法。数据仿真结果验证了恒等探测距离系统的可实现性，另外，也表明了所提方法不仅可以实现不同俯仰角下的相同探测距离，还可以通过合理的参数调节使得大部分视场范围内的探测距离优于传统圆锥曲面型折反射式周视系统的探测距离。

Catadioptric omnidirectional view infrared imaging system has the advantage of large field of view in the field of safety monitoring. But current usual catadioptric omnidirectional view system with a conical surface mirror have the problem that the detection ranges under different vertical pitch angles are greatly different. The detection range of catadioptric omnidirectional view infrared imaging system is related with the target dimension, task criteria, and resolutions of azimuth and pitch angles. In this paper, the geometric mean of the resolutions of pitch and azimuth angles is set as a constant, which is considered as the condition of the constant detection range in the catadioptric omnidirectional view system. Then, the corresponding system design method is deduced. The data simulation results verify the realizability of the constant detection range system. What′s more, the results show that the proposed method not only obtains the same detection range under different vertical pitch angles, but also makes the detection ranges in most of the field of view range better than those in the traditional catadioptric omnidirectional view systems with conical surface mirror by reasonable parameter adjustment.