基于全场光测方法的微液滴折射率反演方法
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上海交通大学

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Inversion Method for Refractive Index of Micro-Droplets Based on Full-Field Optical Measurement
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    摘要:

    对于微量透明液滴折射率的测量与分析是探究液体组分、研究液体理化性质中的重要环节。然而,现有光学测量技术通常需要较大体积液样,难以满足微量液滴的高精度折射率测量需求。为此,本研究提出了一种基于数字图像相关方法(Digital Image Correlation, DIC)与折射模型的非接触式液滴折射率反演方法,实现了微升级液滴折射率与浓度的高精度解析。该方法设计了双模块光学成像系统,用于透明液滴折射率的精密测量。通过构建物理模型,推导液滴折射率与成像位移量及几何轮廓之间的数学映射关系。采用分割辅助数字图像相关法实现全场位移矢量的亚像素级测量,为折射率反演模型建立提供关键数据。通过侧视相机记录液滴轮廓,并运用Canny边缘检测算法提取特征坐标,基于同步标定方法实现双成像系统空间坐标统一。最后,通过实验数据逆向求解方程并结合粒子群优化算法实现折射率参数的反演,从而实现微量液滴的折射率测量。实验数据表明,本方法在微量液滴折射率测量中具有较高的精度。

    Abstract:

    The measurement and analysis of the refractive index of droplets is a crucial aspect of exploring liquid compositions and studying the physicochemical properties of liquids. The optical measurement techniques currently used to determine the refractive index of transparent droplets are impeded by the substantial liquid volume requirements, making the accurate measurement of the refractive index of micro-scale droplets a significant challenge. To address this issue, the present study proposes a non-contact method for measuring the refractive index of droplets based on digital image correlation (DIC) and inverse method, to achieve high-precision analysis of the refractive index and concentration of micro-droplets. The proposed method designs a dual-module optical imaging system to measure the refractive index of transparent droplets precisely. A physical model is constructed to derive the mathematical mapping between the droplet's refractive index, image displacement, and geometric contour. The segmentation-aided digital image correlation (SA-DIC) method enables subpixel-level full-field displacement vector measurements, providing key data for the refractive index inversion model. A side-view camera captures the droplet's contour, and edge detection algorithm extracts feature coordinates. A synchronization calibration method aligns the spatial coordinates of the dual imaging systems. Finally, the refractive index parameters are inverted using experimental data and a particle swarm optimization (PSO) algorithm. Experimental results demonstrate high precision in measuring the refractive index of micro-scale droplets.

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  • 收稿日期:2025-07-31
  • 最后修改日期:2025-09-12
  • 录用日期:2025-09-25
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