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Configuration Optimization of a kind of Sparse-Aperture System

机译：一种稀疏光圈系统的配置优化

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The quest for finer angular resolution in space-borne systems leads to larger aperture of the optical systems. Unfortunately, the primary mirror diameter for space telescopes is limited by volume and mass constraints of current launch vehicles as well as the scaling laws of manufacturing costs. The goal of sparse-aperture systems is to synthesize a larger effective collection aperture with a configuration of smaller sub-apertures. The modulation transfer function (MTF) of the sparse-aperture systems is depressed, resulting in a low-contrast and unsatisfactory SNR image. The optimization of the aperture is necessary to achieve a sparse-aperture configuration with more uniform MTF. In this paper, a novel sparse-aperture system composed of dual three sub-apertures is proposed. The optimization criterion of dual three sub-aperture is given, which is directly linked by the maximum spatial frequency ρ_R (or practical resolution) and the diameters of the sub-apertures. An optimized sparse-aperture configuration and the parameters of the configuration are given, i.e. the sites of each aperture, which varies with the different fill factor. Simulation images both optimized and un-optimized configuration for dual three sub-aperture are shown. Wiener filter is applied to restore the detail in the images of sparse-aperture systems. The loss of mid-spatial frequency information is irretrievable corresponding to the frequency (ρ_R) that MTF is a zero. So configuration optimization is a key aspect of the design for sparse-aperture systems.
机译：在星载系统中寻求更好的角分辨率导致光学系统的更大孔径。不幸的是，用于太空望远镜的主镜直径受到当前运载火箭的体积和质量限制以及制造成本的缩放定律的限制。稀疏孔径系统的目标是合成较大的有效收集孔径，并配置较小的子孔径。稀疏光圈系统的调制传递函数（MTF）被压低，从而导致低对比度和令人满意的SNR图像。要实现具有更均匀的MTF的稀疏孔径配置，必须对孔径进行优化。本文提出了一种由双三个子光圈组成的稀疏光圈系统。给出了双三子孔径的优化准则，该准则与最大空间频率ρ_R（或实际分辨率）和子孔径的直径直接相关。给出了优化的稀疏孔径配置和配置参数，即每个孔径的位置，其随填充因子的不同而变化。示出了针对两个三个子光圈的优化和未优化配置的仿真图像。应用维纳滤镜以还原稀疏孔径系统图像中的细节。对应于MTF为零的频率（ρ_R），无法恢复中空间频率信息的丢失。因此，配置优化是稀疏孔径系统设计的关键方面。

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