【摘要】 非球面成像系统的光学元件能够有效矫正像差，提高成像质量．滴落在玻璃上的水滴，因为表面张力的作用，会形成有一定几何形状的凸起，可以调制光束，表现出类似于非球面透镜的行为．以水滴作为示例，设计了非球面成像透镜，研究了水滴的成像特性．利用杨-拉普拉斯方程定量描述水滴的形态，采用牛顿迭代法求解非线性方程组，获得水滴的精确形状．针对水滴的放大率和分辨率，设计了系列实验以验证理论模型的准确性，揭示了水滴系统中的光阑效应以及波前像差的表现形式．研究结果表明：水滴成像系统能够为非理想透镜的研究提供简便有效的方式，并在复杂光学系统的像差分析、教学演示以及低成本光学成像方案中展示了应用潜力．更多还原

【Abstract】 An aspherical imaging system can effectively correct aberrations and improve image quality.Water droplets,due to surface tension,can focus and magnify light,exhibiting behaviors similar to aspherical lenses.This paper took water droplets as a research example to design and investigate an aspherical imaging system.The imaging characteristics of water droplets as aspherical lenses was explored.The shape of the water droplet was quantitatively described using the Young-Laplace equation,and the nonlinear equation system was solved by Newton’s iteration method to obtain the shape of the water droplet.About the magnification and resolution characteristics of the water droplet was analyzed,a series of experiments were designed and carried out to verify the accuracy of the theoretical model,revealing the aperture effect and wavefront aberrations in the droplet system.The research results showed that the water droplet imaging system provided a simple and effective method for studying non-ideal lenses and demonstrated broad application potential in aberration analysis of complex optical systems,teaching demonstrations,and low-cost optical imaging solutions.更多还原