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| 用Wigner分布函数方法研究平顶多高斯光束的分数傅里叶变换 | |
| 引用本文： | 吴平,吕百达,陈天禄. 用Wigner分布函数方法研究平顶多高斯光束的分数傅里叶变换[J]. 中国物理, 2005, 14(6): 1130-1135 |
| 作者姓名： | 吴平 吕百达 陈天禄 |
| 作者单位： | Dept. of Applied Physics, Southwest Jiaotong University, Chengdu 610031,China;Institute of Laser Physics＆Chemistry, Sichuan University, Chengdu 610064,China;Dept. of Applied Physics, Southwest Jiaotong University, Chengdu 610031,China |
| 基金项目： | This work is supported by the Foundation of Sichuan Provincial Applied Basic Research (grant 03JY029-063-1) and the Foundation of Science and Technology Research of Southwest Jiaotong University. |
| 摘 要： | 本文用Wigner分布函数方法分析了平顶多高斯光束的分数傅里叶变换。导出了分数傅里叶变换面上光的强度、束宽、远场发散角、M2因子和K参数的解析表达式。通过数值模拟研究了分数傅里叶变换阶数对平顶多高斯光束传输性质的影响。 |
| 关 键 词： | Wigner分布函数，平顶多高斯光束，分数傅里叶变换 |
| 收稿时间： | 2004-09-03 |
| 修稿时间： | 2005-01-08 |
Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function |
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| Wu Ping,Lü Bai-Da,Chen Tian-Lu. Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function[J]. Chinese Physics, 2005, 14(6): 1130-1135 | |
| Authors: | Wu Ping Lü Bai-Da Chen Tian-Lu |
| Affiliation: | Dept. of Applied Physics, Southwest Jiaotong University, Chengdu 610031,China; Institute of Laser Physics＆Chemistry, Sichuan University, Chengdu 610064,China |
| Abstract: | By using the Wigner distribution function (WDF), the fractional Fourier transform (FRFT) of flat-topped multi-Gaussian(FTMG) beams is studied. Analytical expressions for the intensity distribution, beam width, far-field divergence angle,M2 factor and K parameter of FTMG beams are derived. The influence of fractional order on transformation properties of FTMG beams in the FRFT plane is illustrated with numerical examples. |
| Keywords: | Wigner distribution function (WDF) flat-topped multi-Gaussian(FTMG) beam fraction Fourier transform(FRFT) |
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