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Fractional Fourier transform of hollow sinh-Gaussian beams

机译：空心正弦高斯光束的分数阶傅里叶变换

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摘要

The analytical expression for hollow sinh-Gaussian (HsG) beams propagating through a paraxial ABCD optical system is derived and used to investigate its propagation properties in a fractional Fourier transform (FrFT) optical system. Several influence parameters of both the HsG beams and the FrFT optical system are discussed in detail. Results show that the FrFT optical system provides a convenient way for modulating HsG beams: HsG beams maintain their dark-centered distribution when the fractional order p is low, and low-ordered HsG beams lose their original dark-centered distribution more quickly than high-ordered ones when the value of p increases. Eventually all HsG beams' intensities evolve into peak-centered distributions with some side lobes located sideways. Furthermore, our results also show that HsG beam intensity distribution versus the fractional order is periodical and the period is 2. The results obtained in this work are valuable for HsG beam shaping.
机译：推导了通过近轴ABCD光学系统传播的中空正弦高斯（HsG）光束的解析表达式，并用于研究其在分数傅里叶变换（FrFT）光学系统中的传播特性。详细讨论了HsG光束和FrFT光学系统的几个影响参数。结果表明，FrFT光学系统为调制HsG光束提供了一种便捷的方法：当分数阶p低时，HsG光束保持其暗中心分布，而低阶HsG光束比高阶HsG光束更快地失去其原始暗中心分布。当p的值增加时排序。最终，所有HsG光束的强度都演变为以峰为中心的分布，其中一些旁瓣位于侧面。此外，我们的结果还表明，HsG光束强度分布与分数阶的关系是周期性的，周期为2。在这项工作中获得的结果对于HsG光束整形很有用。

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  • 来源
    《Optical engineering》 |2014年第8期|086112.1-086112.5|共5页
  • 作者

    Xun Wang; Zhirong Liu; Daomu Zhao;

  • 作者单位

    East China Jiaotong University, Department of Applied Physics, No. 808, Shuanggangdong Street, Nanchang City, Jiangxi Province 330013, China;

    East China Jiaotong University, Department of Applied Physics, No. 808, Shuanggangdong Street, Nanchang City, Jiangxi Province 330013, China;

    Zhejiang University, Department of Physics, Hangzhou 310027, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    hollow sinh-Gaussian beam; fractional Fourier transform; laser beam shaping; propagation;

    机译：空心正弦高斯光束分数阶傅里叶变换激光束整形;传播;

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