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.