• Photonics Research
  • Vol. 12, Issue 1, 70 (2024)
Mengdi Luo1、†, Jisen Wen1、†, Pengcheng Ma1, Qiuyuan Sun1, Xianmeng Xia1, Gangyao Zhan1, Zhenyao Yang1, Liang Xu1, Dazhao Zhu1、4、*, Cuifang Kuang1、2、3、5、*, and Xu Liu2
Author Affiliations
  • 1Research Center for Intelligent Chips and Devices, Zhejiang Lab, Hangzhou 311100, China
  • 2State Key Laboratory of Extreme Photonics and Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, China
  • 3ZJU-Hangzhou Global Scientific and Technological Innovation Center, Hangzhou 311200, China
  • 4e-mail: zhudz@zhejianglab.com
  • 5e-mail: cfkuang@zju.edu.cn
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    DOI: 10.1364/PRJ.499405 Cite this Article Set citation alerts
    Mengdi Luo, Jisen Wen, Pengcheng Ma, Qiuyuan Sun, Xianmeng Xia, Gangyao Zhan, Zhenyao Yang, Liang Xu, Dazhao Zhu, Cuifang Kuang, Xu Liu. Three-dimensional nanoscale vortex line visualization and chiral nanostructure fabrication of tightly focused multi-vortex beams via direct laser writing[J]. Photonics Research, 2024, 12(1): 70 Copy Citation Text show less

    Abstract

    Optical singularity is pivotal in nature and has attracted wide interest from many disciplines nowadays, including optical communication, quantum optics, and biomedical imaging. Visualizing vortex lines formed by phase singularities and fabricating chiral nanostructures using the evolution of vortex lines are of great significance. In this paper, we introduce a promising method based on two-photon polymerization direct laser writing (2PP-DLW) to record the morphology of vortex lines generated by tightly focused multi-vortex beams (MVBs) at the nanoscale. Due to Gouy phase, the singularities of the MVBs rotate around the optical axis and move towards each other when approaching the focal plane. The propagation dynamics of vortex lines are recorded by 2PP-DLW, which explicitly exhibits the evolution of the phase singularities. Additionally, the MVBs are employed to fabricate stable three-dimensional chiral nanostructures due to the spiral-forward property of the vortex line. Because of the obvious chiral features of the manufactured nanostructures, a strong vortical dichroism is observed when excited by the light carrying orbital angular momentum. A number of applications can be envisioned with these chiral nanostructures, such as optical sensing, chiral separation, and information storage.
    Ei(u,v)=exp(u2+v2w02)Φ(u,v).

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    Φ(u,v)=n=1|m|[(u+acosφn)+i(v+asinφn)(u+acosφn)2+(v+asinφn)2]sign[m],

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    E(ρ,ϕ,z)=ikf2π0θmax02πE(θ,φ,0)T(θ)P(θ,φ)eik[ρsinθcos(φϕ)+zcosθ]sinθdθdφ,

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    P(θ,φ)=[1+cos2φ(cosθ1)sinφcosφ(cosθ1)sinθcosφ]a(θ,φ)+[sinφcosφ(cosθ1)1+sin2φ(cosθ1)sinθsinφ]b(θ,φ).

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    VD=2×I+lIlI+l+Il×100%,

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    Eref=p=Epexp(ipϕp).

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    Wp=|++Erefexp(ipϕp)dxdy|2p=|++Erefexp(ipϕp)dxdy|2,

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    Mengdi Luo, Jisen Wen, Pengcheng Ma, Qiuyuan Sun, Xianmeng Xia, Gangyao Zhan, Zhenyao Yang, Liang Xu, Dazhao Zhu, Cuifang Kuang, Xu Liu. Three-dimensional nanoscale vortex line visualization and chiral nanostructure fabrication of tightly focused multi-vortex beams via direct laser writing[J]. Photonics Research, 2024, 12(1): 70
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