基于狭缝法的光学成像系统调制传递函数的研究
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1.中央民族大学;2.大恒新纪元科技股份有限公司;3.山东协和学院工学院

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国家重点研发计划


Research on modulation transfer function of optical imaging systems based on the slit method
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1.MINZU University of China;2.Daheng New Epoch Technology Incorporation;3.College of Engineering, Shandong Xiehe University

Fund Project:

National Key Research and Development Program of China

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    摘要:

    调制传递函数(modulation transfer function,MTF)是评价光学系统成像质量的关键参数,其测量精度直接影响光学系统性能评估的可靠性。在基于狭缝法的MTF测量技术中,狭缝宽度引入的系统误差是制约测量精度的关键因素。针对该问题,本研究提出一种基于解卷积算法的误差修正方法。通过构建包含实际狭缝卷积效应的完整测量模型,基于Struve函数推导线扩散函数的精确解析表达式,实现了对系统误差的理论建模与实验分析。实验采用宽度1 μm的标准狭缝搭建了高精度测量系统,并对三款典型显微物镜进行MTF测量与验证。结果表明,在20-55 lp/mm和70-100 lp/mm两个重要特征空间频段内,修正后的MTF测量绝对误差小于0.02,验证了MTF测量的准确性与可靠性。本研究为高数值孔径、小像差光学系统的MTF精确测量提供了有效的解决方案。

    Abstract:

    Modulation Transfer Function (MTF) is a key parameter for evaluating the imaging quality of optical systems, and its measurement accuracy directly affects the reliability of optical systems performance evaluation. In the MTF measurement technology based on the slit method, the systematic error introduced by the slit width is a critical factor constraining the measurement accuracy. To address this issue, this study proposes an error correction method based on a deconvolution algorithm. By constructing a complete measurement model that incorporates the actual convolution effect of the slit, an exact analytical expression for the Line Spread Function (LSF) is derived using the Struve function, enabling both theoretical modeling and experimental analysis of the systematic error. In the experiment, a standard 1m-wide slit is used to build a high-precision measurement system, and the MTF of three typical microscope objectives is measured and verified. The results show that in the two important spatial frequency ranges of 20-55 lp/mm and 70-100 lp/mm, the absolute error of the corrected MTF measurement remains below 0.02, confirming the accuracy and reliability of the MTF measurement. This study provides an effective solution for precise MTF measurement of optical systems with high numerical aperture and low aberration.

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  • 收稿日期:2025-10-09
  • 最后修改日期:2025-12-21
  • 录用日期:2025-12-26
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