• Advanced Photonics Nexus
  • Vol. 2, Issue 1, 016011 (2023)
Jue Wang1、2, Chengkun Cai1、2, Tianhao Fu1、2, Kangrui Wang1、2, Yize Liang1、2, and Jian Wang1、2、*
Author Affiliations
  • 1Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics and School of Optical and Electronic Information, Wuhan, China
  • 2Optics Valley Laboratory, Wuhan, China
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    DOI: 10.1117/1.APN.2.1.016011 Cite this Article Set citation alerts
    Jue Wang, Chengkun Cai, Tianhao Fu, Kangrui Wang, Yize Liang, Jian Wang. Ultracompact phase plate fabricated by femtosecond laser two-photon polymerization for generation of Mathieu--Gauss beams[J]. Advanced Photonics Nexus, 2023, 2(1): 016011 Copy Citation Text show less

    Abstract

    The Mathieu beam is a typical nondiffracting beam characterized by its propagation invariance and self-reconstruction. These extraordinary properties have given rise to potentialities for applications such as optical communications, optical trapping, and material processing. However, the experimental generation of Mathieu–Gauss beams possessing high quality and compactness is still challenging. In this work, even and helical Mathieu phase plates with different orders m and ellipticity parameters q are fabricated by femtosecond laser two-photon polymerization. The experimentally generated nondiffracting beams are propagation-invariant in several hundred millimeters, which agree with numerical simulations. This work may promote the miniaturization of the application of nondiffracting beams in micronanooptics.
    {x=ccosh(ξ)cos(η)y=csinh(ξ)sin(η)c2=a2b2,ξ0,  0η<2π

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    {Me(ξ,η,z;q)=Cem(ξ;q)cem(η;q)exp(ikzz)Mo(ξ,η,z;q)=Sem(ξ;q)sem(η;q)exp(ikzz)Mh(ξ,η,z;q)=[Am(q)Cem(ξ;q)cem(η;q)+iBm(q)Sem(ξ;q)sem(η;q)]exp(ikzz),

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    {R=ktλf12πΔR=2λf1ω0π,

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    h(x,y)=λϕ(x,y)2π(np1).

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    Jue Wang, Chengkun Cai, Tianhao Fu, Kangrui Wang, Yize Liang, Jian Wang. Ultracompact phase plate fabricated by femtosecond laser two-photon polymerization for generation of Mathieu--Gauss beams[J]. Advanced Photonics Nexus, 2023, 2(1): 016011
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