Pupil configuration of quasi-Golay6 sparse-aperture

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.