| 含介质的单透镜和双透镜分数傅里叶变换光学系统 |
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| 引用本文： | 张廷蓉,吕百达.含介质的单透镜和双透镜分数傅里叶变换光学系统[J].光子学报,2009,38(1):74-77. |
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| 作者姓名： | 张廷蓉 吕百达 |
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| 作者单位： | 1. 西南交通大学,理学院,成都,610031;四川师范大学,物理与电子工程学院,成都,610068
2. 四川大学,激光物理与化学研究所,成都,610064 |
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| 基金项目： | 四川省教育厅重点项目 |
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| 摘 要： | 根据菲涅耳衍射公式，导出了含介质的单透镜与双透镜系统输出面的光场复振幅分布，并与分数傅里叶变换定义式比较，得到了实现分数傅里叶变换的系统结构参量.运用矩阵光学方法，导出上述系统的ABCD矩阵，并与分数傅里叶变换矩阵比较，研究发现两种方法所得结果一致.
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| 关 键 词： | 含介质的透镜系统 分数傅里叶变换(FRFT) ABCD矩阵 |
| 收稿时间： | 2007-06-25 |
| 修稿时间： | 2007-10-16 |
The One-Lens and Two-Lens Fractional Fourier Transform System with the Media |
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| ZHANG Ting-rong,L Bai-da.The One-Lens and Two-Lens Fractional Fourier Transform System with the Media[J].Acta Photonica Sinica,2009,38(1):74-77. |
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| Authors: | ZHANG Ting-rong L Bai-da |
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| Institution: | 1 College of Science;Southwest Jiaotong University;Chengdu 610031;China;2 School of Physics and electronics engineering;Sichuan Normal University;Chengdu 610068;China;3 Institute of Laser Physics and Chemistry;Sichuan University;Chengdu 610064;China |
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| Abstract: | Based on Fresnel diffraction formula,the complex amplitude distribution of output plane was derived for the one-lens system and two-lens system with the different media.Compared with the definition of Fractional fourier transform,the structure parameters were obtained. The ABCD matrix of the optical systems was also obtained by using matrix method.Compared with the matrix of Fractional Fourier transform,the matrix methods is coincident with that of the diffraction integral. |
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| Keywords: | Lens system with media Fractional Fourier transform ABCD matrix |
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