为研究连续型相位光瞳滤波器对光学成像系统成像效果的影响，并实现对远场光学成像系统分辨率的提升，设计了一种多项式函数形式的相位型光瞳滤波器，证明其可以实现三维超分辨。给出了其与一种典型三区型相位光瞳滤波器的超分辨效果的对比。通过对比可以发现，在分辨效果的改善上，横向分辨率有明显提升，但施特雷尔比会有所下降。此外，由于此种形式光瞳滤波器可以通过提高多项式次数来增加可调参数，因此其对超分辨效果的提升还有一定的改善空间。关于多项式函数形式的相位光瞳滤波器的计算结果，对实际中制作连续相位型光瞳滤波器亦有一定的参考价值。

In order to study far-field optical imaging system with continuous phase optical pupil filter and to achieve the purpose of high resolution in this system, a phase optical pupil filter with polynomial function is proposed. With this filter, three-dimensional super-resolution can be obtained in optical system. The contrast with the effects on super-resolution of a typical three-zone phase optical pupil filter is shown in the following. There is a significant improvement on transverse resolution with the new type filter, but the Strehl ratio will decline. In addition, more adjustable parameters can be established to restrain such a filter by increasing the highest power of the polynomial function, which makes the filter more flexible in improving the resolution of optical system. The numerical results about the continuous-phase optical pupil filter with polynomial functions will also help the manufacture.