基于实际空间截止频率的稀疏孔径双圆周阵列的优化

提出了一种新的稀疏孔径光瞳结构-两个圆周阵内外嵌套而成的双圆周结构,并研究了该结构的调制传递函数.该结构以实际空间截止频率作为约束条件,保证调制传递函数在最小截止频率以内无零频,以阵列的u-v覆盖点间距最大化及最小冗余度来设计目标函数,并采用这种优化方法对3-3、5-3以及6-3双圆周阵列进行了优化排列.将优化结果与相同子孔径数目的均匀圆周阵以及Golay结构进行仿真实验和比较.结果表明,优化后的双圆周阵列,具有最大的实际空间截止频率和实际等效口径.

Optical Sparse Aperture Double-Circle Array Optimization Based on Practical Cut-off Spatial Frequency

Design and optimization of pupil configuration is a critical part of contriving a sparse aperture imaging system. A new pupil configuration named double-circle, which is composed of two circle arrays,was proposed. The modulation transfer function (MTF) of double-circle configuration was researched. A novel optimization algorithm of pupil configuration was also proposed. The objective function was designed by maximizing the distances between u-v coverage dots and minimizing redundant array, and the practical cut-off spatial frequency was used as the constraint condition for maintaining no zero value regions within the minimal cut-off spatial frequency. The optimized results of 3-3,5-3 and 6-3 double-circle array using the proposed algorithm were obtained and compared with the other array configurations with the same sub-aperture number. Results show that the optimized double-circle arrays have the higher practical cut-off spatial frequency and higher practical equivalent diameter.