| 求解分数傅里叶变换衍射积分的一种快速算法 |
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| 引用本文： | 冯迪,严瑛白,金国藩,谭峭峰.求解分数傅里叶变换衍射积分的一种快速算法[J].光子学报,2003,32(7):885-888. |
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| 作者姓名： | 冯迪 严瑛白 金国藩 谭峭峰 |
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| 作者单位： | 清华大学精密仪器系,北京,100084 |
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| 基金项目： | 国家高科技基金资助 (86 3- 4 16 - 2- 3) |
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| 摘 要： | 在对Lohmann 二型分数傅里叶变换(FRT)和菲涅耳衍射积分进行比较的基础上,给出基于快速傅里叶变换(FFT)求解该分数傅里叶变换和菲涅耳衍射积分的快速算法及算法适用范围.数值模拟实验证明了理论的可靠性和算法的高效性.此快速算法为分数傅里叶变换在工程实际中的进一步广泛应用奠定了基础.
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| 关 键 词： | 快速傅里叶变换 菲涅耳衍射 分数傅里叶变换 |
| 收稿时间： | 2002/9/24 |
| 修稿时间： | 2002年9月24日 |
A Fast Algorithm for Calculating the Fractional Fourier Transform Diffraction Integral |
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| Feng Di,Yan Yingbai,Jin Guofan,Tan Qiaofeng.A Fast Algorithm for Calculating the Fractional Fourier Transform Diffraction Integral[J].Acta Photonica Sinica,2003,32(7):885-888. |
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| Authors: | Feng Di Yan Yingbai Jin Guofan Tan Qiaofeng |
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| Institution: | Feng Di,Yan Yingbai,Jin Guofan,Tan Qiaofeng Department of Precision Instruments,Tsinghua University,Beijing 100084,China |
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| Abstract: | Compared with Fresnel diffraction integral,the fractional Fourier transform(FRT)by a Lohmann′s type II system and Fresnel diffraction integral have been calculated by a fast algorithm using the fast Fourier transform(FFT).Meanwhile, the applicable range for the algorithm has been presented. By computer simulation, the results have shown that the algorithm has advantages of high reliability and high effectiveness. |
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| Keywords: | Fast Fourier transform Fresnel diffraction Fractional Fourier transform |
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