二阶导数法表征两点成像分辨技术的研究
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西安工业大学

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O436

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Research on Two-Point Resolution Characterization by Second Derivative Analysis
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Xi’an Technological University

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    摘要:

    分辨率是显微成像系统的关键指标,尤其在部分相干光环境下相干度会影响分辨率。本文基于斯派罗判据,通过对两点合成光强求二阶导数,推导出任意相干度与分辨极限的关系式。通过线性回归分析,得到了相干度与分辨极限的简易线性方程,并验证了其准确性。本文设计了部分相干光的成像系统,利用MATLAB仿真研究了不同相干度对分辨极限的影响。搭建了部分相干光两点成像实验系统,实验结果表明,在相干度为0.6时的分辨极限为1.25mm,实验与仿真的误差在5%以内。理论与实验结果一致,表明该方法在不同相干度下计算显微成像系统两点分辨率的可行性,为相关研究提供了理论支撑与实验依据。

    Abstract:

    Resolution is the key index of microscopic imaging system, especially in the partially coherent light environment, the coherence degree will affect the resolution. In this paper, based on the Sparrow criterion, the relation between arbitrary coherence degree and limit separation degree is derived by forcing the second derivative of synthetic light at two points. Through linear regression analysis, a simple linear equation of coherence degree and resolution limit is obtained, and its accuracy is verified. In this paper, an imaging system of partially coherent light is designed, and the influence of different coherence degree on resolution limit is studied by MATLAB simulation. The experimental results show that the resolution limit is 1.25mm when the coherence is 0.6, and the error between experiment and simulation is less than 5%. The theoretical and experimental results are consistent, which shows that the method is feasible to calculate the two-point resolution of microscopic imaging system under different coherence degrees, and provides theoretical support and experimental basis for related research.

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  • 收稿日期:2025-05-14
  • 最后修改日期:2025-07-25
  • 录用日期:2025-08-13
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