| 二维余弦高斯光束基于魏格纳分布函数的分数傅里叶变换 |
| |
| 引用本文： | 蒋成安,张廷蓉,张亚男.二维余弦高斯光束基于魏格纳分布函数的分数傅里叶变换[J].湖北民族学院学报(哲学社会科学版),2006,24(2):169-172. |
| |
| 作者姓名： | 蒋成安 张廷蓉 张亚男 |
| |
| 作者单位： | 四川师范大学电子工程学院 四川成都610068 |
| |
| 摘 要： | 基于分数傅里叶变换和魏格纳分布函数旋转的等效性,推导出二维余弦高斯光束的光强分布和束宽的解析表达式.由此表达式,研究在分数傅里叶变换面上分数阶数对此种光束变换属性的影响并且给出数值计算例.所得表达式提供了一种研究二维余弦高斯光束的分数傅里叶变换的方便工具.
|
| 关 键 词： | 分数傅里叶变换 魏格纳分布函数 二维余弦高斯光束 |
| 文章编号： | 1008-8423(2006)02-0169-04 |
| 修稿时间： | 2006年1月10日 |
Fractional Fourier Transform of Two -dimensional Cosine-gaussian Beams Based on the Wigner Distribution Function |
| |
| JIANG Cheng-an,ZHANG Ting-rong,ZHANG Ya-nan.Fractional Fourier Transform of Two -dimensional Cosine-gaussian Beams Based on the Wigner Distribution Function[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2006,24(2):169-172. |
| |
| Authors: | JIANG Cheng-an ZHANG Ting-rong ZHANG Ya-nan |
| |
| Abstract: | Based on the characteristic of the equality between the fractional Fourier transform(FRFT) and the rotation of the Wigner distribution function(WDF),the analytical expressions for the intensity distribution of two-dimensional cosine-Gaussian beams are derived.By using derived expressions,the influence of fractional order on transform properties of this kind of beam at the FRFT plane are investigated and illustrated with numerical calculations. |
| |
| Keywords: | fractional Fourier transform wigner distribution functions two-dimensional cosine-gaussian beams |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
