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首页> 外文期刊>Optical and quantum electronics >Theoretical conversion of the hypergeometric-Gaussian beams family into a high-order spiraling Bessel beams by a curved fork-shaped hologram
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Theoretical conversion of the hypergeometric-Gaussian beams family into a high-order spiraling Bessel beams by a curved fork-shaped hologram

机译：通过弯曲叉形全息图将超几何高斯光束族理论转换为高阶螺旋贝塞尔光束

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摘要

Based on the process of the Fresnel diffraction, the possibility of generating a new type of laser beams family by illuminating a curved fork-shaped hologram, with an input hypergeometric-Gaussian beams family of orders n and m is studied in this paper. The theoretical and the numerical results showed that, at the output plane, a high order spiraling Bessel vortex beam is produced. This vortex beam is divergence or non-divergence depending upon the waist position of the input hypergeometric-Gaussian beams, regarding the plane where the curved fork-shaped hologram is situated. Analytical expressions of the amplitude and the intensity distribution of the diffracted wave field are calculated and deduced using the stationary phase method. The actual work generalizes also the Fresnel diffraction study of some subfamilies of the hypergeometric-Gaussian beams family, such as: fundamental Gaussian, hollow Gaussian, modified quadratic Bes-sel-Gaussian and elegant Laguerre-Gaussian beams.
机译：基于菲涅耳衍射的过程，研究了通过照射弯曲的叉状全息图，输入阶数为n和m的超几何-高斯光束族来生成新型激光束族的可能性。理论和数值结果表明，在输出平面上产生了高阶螺旋贝塞尔涡旋光束。相对于弯曲的叉状全息图所在的平面，该涡旋光束是发散的或非发散的，这取决于输入的超几何高斯光束的腰部位置。利用平稳相位法计算并推导了衍射波场的振幅和强度分布的解析表达式。实际工作还对超几何-高斯光束族的一些子族进行了菲涅耳衍射研究，例如：基本高斯光束，空心高斯光束，改进的二次Bes-sel-Gaussian光束和优雅的Laguerre-Gaussian光束。

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  • 来源
    《Optical and quantum electronics》 |2017年第4期|169.1-169.18|共18页
  • 作者

    A. A. A. Ebrahim; F. Saad; L. Ez-zariy; A. Belafhal;

  • 作者单位

    Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaieb Doukkali University, P. B 20, 24000 El Jadida, Morocco;

    Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaieb Doukkali University, P. B 20, 24000 El Jadida, Morocco;

    Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaieb Doukkali University, P. B 20, 24000 El Jadida, Morocco;

    Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaieb Doukkali University, P. B 20, 24000 El Jadida, Morocco;

  • 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

    Fresnel diffraction; Hypergeometric-Gaussian beams family; Spiraling Bessel beams; Curved fork-shaped hologram;

    机译：菲涅耳衍射;超几何高斯光束族;螺旋贝塞尔光束;弯叉形全息图;

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