共相位望远镜阵列的光束耦合问题研究

研究了共相位望远镜阵列的两种重要光束耦合误差光瞳面平移(piston)误差和光瞳面倾斜(tilt)误差。设piston误差和tilt误差都服从均值为零但标准差待定的正态分布，根据中心点亮度判据，通过迭代方法计算了piston误差和tilt误差所允许的最大标准差，揭示了这两类光束耦合误差所允许的最大标准差与子望远镜个数和遮光比的关系。Piston误差所允许的最大标准差与子望远镜的遮光比无关，但随着子望远镜个数不断增加，在0.11λ~0.08λ范围内缓慢减小。Tilt误差所允许的的最大标准差在子望远镜出瞳大小已知的情况下，随遮光比不断增加而逐渐减小，而与子望远镜个数无明显的相关性。

Abstract

Two important beam combining errors, piston errors and tilt errors are studied. Supposing, both piston errors and tilt errors obey normal distribution with zero-mean but leaving standard deviations to be determined, according to Strehl ratio, the permitted maximal standard deviations of piston errors and tilt errors are calculated based on iterative algorithm, respectively. Relations between the permitted maximal standard deviations of the two beam combining errors and obscuration ratios and numbers of sub-telescopes are revealed. The permitted maximal standard deviations of piston errors have no relationship with obscuration ratios of the sub-telescopes; but they decrease slowly within a narrow range of 0.11λ～0.08λ as the numbers of sub-telescopes increase. In the case of known pupils size, the permitted maximal standard deviations of tilt errors decrease as the obscuration ratios of sub-telescopes increase, while they have no significant correlations with the numbers of sub-telescopes.

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王福亮, 吴泉英, 范君柳, 沈婷婷, 钱霖. 共相位望远镜阵列的光束耦合问题研究[J]. 中国激光, 2012, 39(6): 0616003. Wang Fuliang, Wu Quanying, Fan Junliu, Shen Tingting, Qian Lin. Study on Beam Combining Errors of Phased Telescope Array[J]. Chinese Journal of Lasers, 2012, 39(6): 0616003.

共相位望远镜阵列的光束耦合问题研究

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