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Focal shift and focal switch of broadband hollow Gaussian beams passing through an aperture-lens system

  • Regular Article - Optical Phenomena and Photonics
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Abstract

In this paper, we deduce the approximate analytical formula for the distribution of axial intensity for broadband hollow Gaussian beams (HGBs) passing through an optical system with an aperture and a lens separated based on the Collins formula. Moreover, the focal shift and focal switch effect of broadband HGBs passing through the system is investigated in detail. As demonstrated by the numerical results, whether the focal switch of broadband HGBs occurs is primarily dependent on the size of the aperture, the effective Fresnel number, as well as the relative separation between the aperture and the lens. Furthermore, the bandwidth may have effects on the behavior of the focal switch and reduce the relative focal shift. In this paper, the focal shift of HGBs through a thin lens is recognized as a special case.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: In this manuscript, MATLAB software is used to simulate the formula (14) to get the data, and the data calculation results are shown in the third part of this paper].

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Acknowledgements

The authors gratefully acknowledge the support of the National Nature Science Fund of China (NSFC) (No: 61875165), and the Collaborative Innovation Project of Shaanxi Provincial Department of Education (No: 20JY060). The authors are also grateful for the referee’s comments and suggestions for improving our paper.

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Authors and Affiliations

  1. School of Electronic Engineering, Xi’an University of Posts and Telecommunications, 710121, Xi’an, China

    Xiangmei Zeng, Ye Wang, Ruiqiong Ma & Zhanqiang Hui

  2. Xi’an Key Laboratory of Microwave Photonics and Optical Communication, Xi’an, China

    Xiangmei Zeng, Ye Wang, Ruiqiong Ma & Zhanqiang Hui

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  1. Xiangmei Zeng
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  2. Ye Wang
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  3. Ruiqiong Ma
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Correspondence to Xiangmei Zeng.

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Zeng, X., Wang, Y., Ma, R. et al. Focal shift and focal switch of broadband hollow Gaussian beams passing through an aperture-lens system. Eur. Phys. J. D 76, 108 (2022). https://doi.org/10.1140/epjd/s10053-022-00434-2

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  • DOI: https://doi.org/10.1140/epjd/s10053-022-00434-2

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