| 级数为2/3的分数傅里叶变换的单透镜法光学实现及其验证 |
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| 引用本文： | 范希智,祝霁洺. 级数为2/3的分数傅里叶变换的单透镜法光学实现及其验证[J]. 光学仪器, 2011, 33(4): 42-48. DOI: 10.3969/j.issn.1005-5630.2011.04.009 |
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| 作者姓名： | 范希智 祝霁洺 |
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| 作者单位： | 武汉理工大学物理系,湖北武汉,430070 |
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| 摘 要： | 对于级数为2/3的分数傅里叶光学变换,一种简单的实现方式是将物置于一个焦距为f的正薄透镜一侧f/2处,在透镜的另一侧的同距离处即得到该物的变换.为了验证其正确性,利用其可加性和周期性的性质,分别将3和6个这种2/3的分数傅里叶光学变换相加与傅里叶光学变换的4f和8f系统比较,观察到相同的输出结果,从而说明这种2/3分数...
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| 关 键 词： | 傅里叶变换 分数傅里叶变换 单透镜法 4f系统 8f系统 |
| 收稿时间： | 2010-12-14 |
Optical realization and validation of fractional Fourier transform with order of 2/3 utilizing one lens |
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| FAN Xizhi,ZHU Jiming. Optical realization and validation of fractional Fourier transform with order of 2/3 utilizing one lens[J]. Optical Instruments, 2011, 33(4): 42-48. DOI: 10.3969/j.issn.1005-5630.2011.04.009 |
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| Authors: | FAN Xizhi ZHU Jiming |
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| Affiliation: | ming (Department of Physics,Wuhan University of Technology,Wuhan 430070,China) |
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| Abstract: | For the fractional Fourier transform(frFT)with order of 2/3, its optical implement was realized, namely when a object has been placed at one side of a positive lens of foci f with distance of f/2, its 2/3 frFT is at another side of the lens with same distance. To confirm the exactness, basing on frFT′s additivity and periodicity, through the same action′s observation, three and six 2/3 order frFTs were connected and contrasting with 4f and 8f optical system, respectively. The frFT′s advantage was also given. |
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| Keywords: | Fourier transform fractional Fourier transform one lens method 4f optical system 8f optical system |
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