| 1维线阵离轴高斯光束的分数傅里叶变换 |
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| 引用本文： | 陈森会,张廷蓉.1维线阵离轴高斯光束的分数傅里叶变换[J].强激光与粒子束,2009,21(2). |
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| 作者姓名： | 陈森会 张廷蓉 |
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| 作者单位： | 四川师范大学 物理与电子工程学院， 成都 610068 |
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| 基金项目： | 四川省教育厅重点项目 |
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| 摘 要： | 为研究非相干的1维线阵离轴高斯光束通过分数傅里叶变换(FRFT)系统的传输特性，利用Collins积分公式，导出了其在FRFT面上的光强分布解析式，并利用此解析式作数值计算和分析。研究表明：非相干的1维线阵离轴高斯光束在FRFT面上的光强分布由FRFT的阶数和子光束数目共同决定,其归一化的光强分布随FRFT的阶数周期性变化，周期为2；子光束数目的大小及其奇偶性对归一化光强分布的影响取决于FRFT的阶数；轴上归一化光强分布也随FRFT的阶数周期性变化，变化周期也为2。
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| 关 键 词： | 分数傅里叶变换 1维线阵离轴高斯光束 Collins 积分公式 平顶高斯光束 |
| 收稿时间： | 1900-01-01; |
Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams |
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| Chen Senhui,Zhang Tingrong.Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams[J].High Power Laser and Particle Beams,2009,21(2). |
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| Authors: | Chen Senhui Zhang Tingrong |
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| Institution: | College of Physics and Electronics Engineering, Sichuan Normal University, Chendu 610068, China |
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| Abstract: | Based on the Collins formula, the transformation properties of incoherent one-dimensional off-axis Gaussian beams passing through the fractional Fourier transform(FRFT) system were studied. The analytical expressions for the intensity distribution of this beam were derived. By using the derived expressions, some numerical calculation examples were presented to illustrate the intensity properties on the FRFT plane. It is shown that the intensity distribution on the FRFT plane depend on FRFT order and sub-beams number. The variation of intensity distribution with FRFT order is periodic, and the period is 2. When the FRFT order is even, the number of sub-beam has a great effect on the normalized intensity distribution and the effect decreases with the order in crease; when the FRFT order incr |
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| Keywords: | one-dimensional off-axis Gaussian beams Collins integral formula flat-topped Gaussian beam |
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