微孔垂直内壁暗场显微成像特性分析方法

    Analysis of dark field microscopy imaging characteristics for vertical inner wall of micro-pores

    • 摘要: 光学立体显微检测技术因具有非接触性、高精度、三维表征能力、高效性以及对复杂材料的适应性等能力,在微孔测量中呈现出显著优势。暗场显微测量技术是实现微孔内壁三维形貌测量的有效手段,介绍了一种微孔垂直内壁暗场显微成像特性分析方法,聚焦研究成像系统核心评价指标——点扩散函数。首先,通过分析微孔暗场显微成像过程,确定异形光瞳形状与探测深度的对应关系,定义了遮挡孔径点扩散函数,并建立了含几何遮挡效应的点扩散函数计算模型。随后,通过仿真实验分析了探测深径比、成像数值孔径和初级像差对微孔内壁暗场显微成像性能的影响规律,为微孔内壁暗场显微成像系统设计和优化提供了理论指导与技术支撑。最后,通过仿真与实验光斑半高宽(full width at half maximum, FWHM)变化趋势的一致性,进一步验证了理论模型:在相同孔径遮挡条件下,FWHM的扩展趋势高度一致(仿真约2倍,实验约2.1倍),有效证明了模型的正确性。

       

      Abstract: Three-dimensional optical microscopic measurement technology demonstrates significant advantages in micro-hole measurement due to its non-contact nature, high precision, three-dimensional characterization capability, operational efficiency, and adaptability to complex materials. Dark field microscopic measurement technology is an effective means of measuring the three-dimensional morphology of micro-pore inner walls. A method for analyzing the imaging characteristics of micro-pore vertical inner wall with dark field microscopy was introduced, focusing on studying the core evaluation index of imaging systems - point spread function. Firstly, by analyzing the process of micro-pore dark field microscopy imaging, the corresponding relationship between the irregular pupil and the detection depth was determined, the occluded aperture point spread function was defined, and a calculation model that included geometric occlusion effects was established. Then, the influence of ratio of detection depth to diameter, imaging numerical aperture, and primary aberration on the imaging performance of micro-pore inner wall dark field microscopy was analyzed through simulation experiments, which provided theoretical guidance and technical support for the design and optimization of micro-pore inner wall dark field microscopy imaging systems. Finally, the consistency in the variation trends of the full width at half maximum (FWHM) of optical spots between simulation and experimental results further validates the theoretical model: under identical aperture obstruction conditions, the expansion trends of spot FWHM show high agreement (approximately 2-fold in simulation and 2.1-fold in experiment), effectively demonstrating the correctness of the model.

       

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