| 轴锥镜成像系统的点扩散函数分析 |
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| 引用本文： | 张飘,翟中生,王选择,钟星.轴锥镜成像系统的点扩散函数分析[J].应用光学,2013,34(5):849-853. |
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| 作者姓名： | 张飘 翟中生 王选择 钟星 |
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| 作者单位： | 1.湖北工业大学 机械工程学院,湖北 武汉 430068; |
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| 摘 要： | 为了使大景深光学镜头在工业视觉检测中的测量结果更准确，必须对中间图像进行复原，点扩散函数是图像复原的关键。根据轴锥镜最大无衍射距离公式设计了无衍射成像系统，以标量衍射理论为基础，在频域范围内利用稳定相法推导出系统的点扩散函数公式。利用准单色光理论，分析非相干光照明下的点扩散函数与锥镜夹角和离焦量的关系。仿真和实验结果表明:轴锥镜夹角越大，点扩散函数中心光强越强，衍射条纹越密；离焦像差对点扩散函数的影响与之相反。
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| 关 键 词： | 无衍射成像 点扩散函数 稳定相法 轴锥镜 |
Point spread function in imaging system with axicon |
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| ZHANG Piao,ZHAI Zhong-sheng,WANG Xuan-ze,ZHONG Xing.Point spread function in imaging system with axicon[J].Journal of Applied Optics,2013,34(5):849-853. |
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| Authors: | ZHANG Piao ZHAI Zhong-sheng WANG Xuan-ze ZHONG Xing |
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| Affiliation: | 1.School of Mechanical and Engineering,Hubei University of Technology,Wuhan 430068,China;2.Key Lab of Modern Manufacture Quality Engineering,Wuhan 430068,China |
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| Abstract: | In order to improve the accuracy of measurement result of optical lenses with large depth of field in industrial visual inspection, image restoration must be carried out on the intermediate image in order to obtain a more accurate measurement result, and the point spread function (PSF) is the key to the image restoration. Non-diffracting imaging system was designed according to the formula of maximum non-diffracting distance of axicon, based on the scalar diffraction theory, PSF of the system was theoretically deduced by the stationary phase method within frequency range. Using the theory of quasi monochromatic light, the relationship between the PSF and the axicon angle or defocus was analyzed under incoherent light illumination. Simulations and experimental results show that the intensity of central spot of PSF is stronger and the density of diffraction fringes is larger when the refracting angle increases, while the influence of defocus on PSF has an opposite effect. |
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| Keywords: | non-diffracting image point spread function stationary phase method axicon |
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