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Generating and converting special focal field patterns in a 4Pi focusing system illuminated by azimuthally polarized vortex beam

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Abstract

Based on the Richards–Wolf vector diffraction theory, the strong focusing properties of a 4Pi focusing system under the illumination of the azimuthally polarized Laguerre–Gaussian vortex beam, which is modulated by the diffracted optical elements (DOE), are investigated numerically. We mainly study the influence trend of three parameters, which are the ratio (\(\beta\)), the numerical aperture (\(NA\)) of the objective lens and the fourth ring parameter of the DOE, on the focal field in the 4Pi focusing system. The results show that three kinds of focusing patterns (the class optical needle, the flattop optical field and the dark channel) can be obtained according to the influence trend of the three parameters on the focal field. And three focal patterns can be converted by changing three parameters. The conversion between these special focal field patterns has potential application value in the optical micro-control field.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12174243 and 61108010) and the Natural Science Foundation of Shanghai (Grant No. 16ZR1411600).

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Authors and Affiliations

  1. Department of Physics, College of Science, Shanghai University, Shanghai, 200444, China

    Yanfang Yang, Xiyu Yan, Ying He, Huihui Duan & LuLu Li

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  1. Yanfang Yang
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  2. Xiyu Yan
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  3. Ying He
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Correspondence to Yanfang Yang.

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Yang, Y., Yan, X., He, Y. et al. Generating and converting special focal field patterns in a 4Pi focusing system illuminated by azimuthally polarized vortex beam. Opt Rev 29, 320–326 (2022). https://doi.org/10.1007/s10043-022-00748-x

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