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Focusing properties and focal shift of a vortex cosine-hyperbolic Gaussian beam

机译：涡旋余地 - 双曲高斯光束的聚焦性能和焦点

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摘要

In this paper, we investigate the focusing properties of a vortex-cosh-Gaussian (vChG) beam passing through a converging thin lens. Based on the Huygens-Fresnel diffraction integral, we derived the analytical propagation equation as well as the beam width expression of a focused vChGB. It is shown that the focusing properties including the focal shift of the focused vChGB are crucially dependent on the incident beam parameters namely the decentered parameter and the topological charge in addition to the Gaussian Fresnel number N_F. From typical numerical examples, it is found that the focused vChGB is transformed into a multi-lobes structure shape at the real focus plane, and the principal maximum intensity of the beam is located away from the axis. The amount of focal shift, which is determined from the minimum spot size criterion, is strongly dependent on the Fresnel number, the decentered parameter and the vortex charge m. The obtained results may be useful for the applications of the vChGBs in beam shaping and beam focusing.
机译：在本文中，我们研究了穿过络合薄透镜的涡旋 - Cosh-Gaussian（VCHG）光束的聚焦性能。基于Huygens-Fresnel衍射积分，我们得出了分析传播方程以及聚焦VCHGB的光束宽度表达。结果表明，除了高斯菲涅耳数N_F之外，包括聚焦VCHGB的聚焦偏移的聚焦性质是关键的依赖性，即，除了高斯菲涅耳号N_F之外，还概述了偏心参数和拓扑电荷。根据典型的数值示例，发现将聚焦的VCHGB转换成真实聚焦平面的多凸起结构形状，并且梁的主最大强度远离轴线。从最小光斑尺寸标准确定的焦平偏移量强烈地取决于菲涅耳数，折叠参数和涡流电荷M。所得结果对于梁成形和光束聚焦的VCHGBS的应用可能是有用的。

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  • 来源
    《Optical and quantum electronics》 |2021年第8期|449.1-449.16|共16页
  • 作者

    Z. Hricha; E. M. El Halba; M. Lazrek; A. Belafhal;

  • 作者单位

    Laboratory LPNAMME Laser Physics Group Department of Physics Faculty of Sciences Chouaib Doukkali University P. B 20 24000 El Jadida Morocco;

    Laboratory LPNAMME Laser Physics Group Department of Physics Faculty of Sciences Chouaib Doukkali University P. B 20 24000 El Jadida Morocco;

    Laboratory LPNAMME Laser Physics Group Department of Physics Faculty of Sciences Chouaib Doukkali University P. B 20 24000 El Jadida Morocco;

    Laboratory LPNAMME Laser Physics Group Department of Physics Faculty of Sciences Chouaib 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

    Vortex-cosh-Gaussian beam; Vortex hollow beams; Focal shift; Beam focusing;

    机译：涡旋 - Cosh-Gaussian梁;涡流空心梁;焦点;光束聚焦;

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