基于COMSOL和MATLAB的近轴光学隐形的研究

Research on Paraxial Optical Invisibility Based on COMSOL and MATLAB

基于矩阵光学原理实现透镜组近轴光出现隐形区域,探究了不同参数的透镜对光学隐形区域的影响;采取正交实验设计,分别使用MATLAB和COMSOL对隐形区域进行了数值模拟,对比得出了隐形区域的影响因素,并进行了可视化呈现。结果表明,透镜的焦距和半径影响隐形区域,当透镜的直径不变时,若透镜的焦距为f,此时隐形区域t_(1)和隐形区域t_(2)的体积之和最小,当透镜的焦距小于f时,透镜的焦距与隐形范围呈负相关;当透镜的焦距大于f时,透镜的焦距与隐形范围呈正相关;当透镜的焦距不变时,透镜的直径与隐形范围呈正相关。各个透镜参数对隐形区域的体积的影响因素排序为:焦距f_(2)>直径h_(1)>直径h_(2)>焦距f_(1)。研究结果对于深入理解光学隐形区域的形成及其受透镜参数调节的影响具有重要的意义。

Based on matrix optics,the principles behind the formation of the hidden region in the near-axis light of a lens system were investigated.The influence of different lens parameters on the optical hidden region was explored.Through orthogonal experimental design,numerical simulations using MATLAB and COMSOL were conducted to compare and visualize the factors affecting the hidden region.The research revealed that the focal length and radius of the lens have an impact on the hidden region.When the diameter of the lens remains constant,the sum of the volumes of hidden regions t_(1)and t_(2)is minimized when the lens has a focal length of f.As the focal length of the lens decreases below f,it is found that the focal length and the extent of the hidden region are negatively correlated.Conversely,when the focal length exceeds f,there is a positive correlation between the focal length and the extent of the hidden region.When the focal length of the lens remains constant,there is a positive correlation between the diameter of the lens and the extent of the hidden region.The order of influence of various lens parameters on the volume of the hidden region is as follows:focal length f_(2)>diameter h_(1)>diameter h_(2)>focal length f_(1).These research findings are of great significance in gaining a deeper understanding of the formation of the optical hidden region and its modulation by lens parameters.