| 激光自混合干涉法亚微米及纳米颗粒测量中的反问题 |
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| 引用本文： | 王华睿,沈建琪,于海涛,魏月环.激光自混合干涉法亚微米及纳米颗粒测量中的反问题[J].光学学报,2008,28(12). |
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| 作者姓名： | 王华睿 沈建琪 于海涛 魏月环 |
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| 作者单位： | 1. 上海理工大学,上海,200093;徐州师范大学,江苏,徐州,221116
2. 上海理工大学,上海,200093 |
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| 基金项目： | 国家863计划，上海市教委项目(07ZZ88)资助课题 |
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| 摘 要： | 基于Kaczmarz投影算法对反问题进行了详细的研究.选取颗粒线分布函数作为反演对象,改进了Kaczrnarz投影算法,使投影过程发生在较大夹角的超平面之间.数值模拟了含5%和10%的测量误差时宽单峰、窄单峰、双峰和三峰四种粒径分布的反演,结果显示改进投影算法得出的粒径分布与输入的粒径分布更好得吻合.实验测量了标称为60 mn和180 nm两种单分散颗粒,结果表明改进投影算法得出的粒径分别为54.95 nm和190.55 nm,而原先投影算法得出的粒径为83.18 nm和288.40nm,进一步显示改进投影算法提高了测量结果的准确性.
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| 关 键 词： | 光学测量 激光自混合干涉技术 颗粒粒径 反问题 投影算法 |
Inversion Problem in Submicron and Nanometer Particle Sizing Using Laser Self-Mixing Interferometry |
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| Wang Huarui,Shen Jianqi,Yu Haitao,Wei Yuehuan.Inversion Problem in Submicron and Nanometer Particle Sizing Using Laser Self-Mixing Interferometry[J].Acta Optica Sinica,2008,28(12). |
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| Authors: | Wang Huarui Shen Jianqi Yu Haitao Wei Yuehuan |
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| Institution: | Wang Huarui1,2 Shen Jianqi1 Yu Haitao1 Wei Yuehuan11University of Shanghai for Science , Technology,Shanghai 200093,China2Xuzhou Normal University,Xuzhou,Jiangsu 221116,China |
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| Abstract: | The inversion problem is researched in detail with the Kaczmarz projection algorithm. The distribution of the characteristic line is chosen as the object of inversion. The improved projection algorithm is introduced,in which each projection is executed between the two hyperplanes with larger included angle. Numerical tests are performed for restoration of wide mono-,narrow mono-,bi-,and tri-modal particle size distributions (PSDs) in the presence of 5% and 10% experimental error. Numerical tests show that t... |
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| Keywords: | optical measurement laser self-mixing interferometry particle size inverse problem projection algorithm |
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