类Golay6稀疏孔径结构

Pupil configuration of quasi-Golay6 sparse-aperture

分析了Golay稀疏孔径结构阵列,在正三角形网格分布的基础上,找出Golay结构子孔径非冗余分布的规律,提出了一种类Golay6新型稀疏孔径结构。按照一维阵列排列及其非冗余分布的规律,类Golay6结构的子孔径在光瞳面上按三角形网格分布在正三角形的边长上,推导出类Golay6调制传递函数(MTF)公式,给出MTF分布,并且与Golay6结构进行了比较。结果显示,类Golay6结构的MTF分布均匀,最大截止空间频率与Golay6结构的相等,实际等效口径比大于Golay6结构9.1%。另外,类Golay6子孔径排列比Golay6结构的简单,是一种非冗余的新型稀疏孔径结构。

The sparse aperture array of Golay is analyzed.Then,the rule of Golay nonredundant configuration arrangement is derived based on the equilateral triangular set and a novel sparse aperture configuration named quasi-Golay6 is proposed.According to the rules of one dimensional array arrangement and nonredundant configuration arrangement,the sub-apertures of quasi-Golay6 on the entrance pupil are arranged on sides of an equilateral triangle.The Modulation Transfer Function （MTF） formula of quasi-Golay6 is deduced,and its distribution is also given out.The MTFs of quasi-Golay6 are compared with those of Golay 6 to investigate the characteristics of quasi-Golay6.The results demonstrate that the MTF distribution of quasi-Golay6 is uniform at the spatial frequency space,its highest cutoff spatial frequency is the same as that of Golay6 with the same fill factor,and the ratio of practical effective diameters is 9.1% larger than that of Golay6.It is concluded that the sub-aperture arrangement of quasi-Golay6 is simpler than that of Golay6,and is a nonredundant configuration with sparse apertures.