| 分数傅里叶变换面上余弦-高斯光束的变换特性 |
| |
| 引用本文： | 吴平,李波,陈天禄,吕百达.分数傅里叶变换面上余弦-高斯光束的变换特性[J].强激光与粒子束,2005,17(12):1787-1790. |
| |
| 作者姓名： | 吴平 李波 陈天禄 吕百达 |
| |
| 作者单位： | 1. 西南交通大学 应用物理系, 四川 成都 610031; 2. 四川大学 激光物理与化学研究所, 四川 成都 610064 |
| |
| 基金项目： | 四川省应用基础研究基金资助课题（03JY029-063-1）;西南交通大学校科学研究基金资助课题 |
| |
| 摘 要： | 利用Wigner分布函数的方法，研究了余弦-高斯光束的分数傅里叶变换特性。导出了余弦-高斯光束在分数傅里叶变换面上光强分布和束宽的解析计算公式，并对此进行了数值模拟计算。研究表明：分数傅里叶变换阶数对余弦-高斯光束的光强分布有明显影响，余弦-高斯光束的轴上光强随分数傅里叶变换阶数呈周期性变化，束宽随分数傅里叶变换阶数也呈周期性变化，周期为2；对给定调制参数的余弦-高斯光束，通过适当选取分数傅里叶变化阶数可以获得平顶的光强分布。
|
| 关 键 词： | 分数傅里叶变换 余弦-高斯光束 Wigner分布函数 光强分布 |
| 文章编号： | 1001-4322(2005)12-1787-04 |
| 收稿时间： | 2005-02-24 |
| 修稿时间： | 2005-06-05 |
Transformation properties of a Cosine-Gaussian beam in the fractional Fourier transform plane |
| |
| WU Ping,LI Bo,CHEN Tian-lu,L Bai-da.Transformation properties of a Cosine-Gaussian beam in the fractional Fourier transform plane[J].High Power Laser and Particle Beams,2005,17(12):1787-1790. |
| |
| Authors: | WU Ping LI Bo CHEN Tian-lu L Bai-da |
| |
| Institution: | 1. Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031,China;2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064,China |
| |
| Abstract: | By using the Wigner distribution function(WDF) method,the transformation properties of a Cosine-Gaussian beam in the fractional Fourier transform plane are studied.Closed-form expressions for the intensity distribution and beam widths of Cosine-Gaussian beams in the FRFT's plane are derived and changes in the intensity distribution of Cosine-Gaussian beams with the order of the FRFT are illustrated with numerical examples.It is shown that the intensity in the FRFT plane depends on the fractional order,the variation of the on-axis intensity and beam width with fractional order are periodic,and the period is 2.A flat-topped beam can be achieved by a suitable choice of the transform order for the Cosine-Gaussian beams with the modulation parameter. |
| |
| Keywords: | Fraction Fourier transform Cosine-Gaussian beam Wigner distribution function(WDF) Intensity distribution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《强激光与粒子束》浏览原始摘要信息 |
| 点击此处可从《强激光与粒子束》下载免费的PDF全文 |
