• Chinese Optics Letters
  • Vol. 21, Issue 11, 110002 (2023)
Erse Jia, Chen Xie*, Yue Yang, and Minglie Hu
Author Affiliations
  • Ultrafast Laser Laboratory, Key Laboratory of Opto-electronic Information Technical Science of Ministry of Education, School of Precision Instruments and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/COL202321.110002 Cite this Article Set citation alerts
    Erse Jia, Chen Xie, Yue Yang, Minglie Hu, "Generation and application of structured beams based on double-phase holograms [Invited]," Chin. Opt. Lett. 21, 110002 (2023) Copy Citation Text show less
    Flowchart of beam shaping based on double-phase checkerboard sampling.
    Fig. 1. Flowchart of beam shaping based on double-phase checkerboard sampling.
    Complex amplitude beam shaping. (a) Schematic of the experimental setup. HWP, half-wave plate; SLM, spatial light modulator; M1, mirror; L1, L2, L3, and L4, lenses; MO1 and MO2, microscope objectives. (b) Intensity profile of the incident beam on the SLM captured with the CCD in the setup. (c) Schematic of the double-phase distribution loaded on the SLM after checkerboard sampling.
    Fig. 2. Complex amplitude beam shaping. (a) Schematic of the experimental setup. HWP, half-wave plate; SLM, spatial light modulator; M1, mirror; L1, L2, L3, and L4, lenses; MO1 and MO2, microscope objectives. (b) Intensity profile of the incident beam on the SLM captured with the CCD in the setup. (c) Schematic of the double-phase distribution loaded on the SLM after checkerboard sampling.
    Beam shaping efficiency η versus parameter Λ.
    Fig. 3. Beam shaping efficiency η versus parameter Λ.
    Bessel beam generation based on DPH algorithm. (a) Top, input and target amplitude profiles. Bottom, target phase and the corresponding DPH map. (b) Longitudinal intensity profiles with white solid lines as the on-axis intensity distributions of the main lobe along propagation. Top, numerical simulations. Bottom, experimental results.
    Fig. 4. Bessel beam generation based on DPH algorithm. (a) Top, input and target amplitude profiles. Bottom, target phase and the corresponding DPH map. (b) Longitudinal intensity profiles with white solid lines as the on-axis intensity distributions of the main lobe along propagation. Top, numerical simulations. Bottom, experimental results.
    Airy beam generation with DPH-based encoding method. (a), (d) Target phases and the corresponding DPH maps. (b), (e) Longitudinal intensity profiles with white dashed lines as the predefined Hook and parabolic trajectories (top, simulations; bottom, experiments). (c), (f) Intensity profiles in the selected cross sections.
    Fig. 5. Airy beam generation with DPH-based encoding method. (a), (d) Target phases and the corresponding DPH maps. (b), (e) Longitudinal intensity profiles with white dashed lines as the predefined Hook and parabolic trajectories (top, simulations; bottom, experiments). (c), (f) Intensity profiles in the selected cross sections.
    DPH-based intensity control. Amplitudes profiles, simulated (Sim.) and experimental (Exp.) 2D intensity maps with three tailored on-axis intensity profiles: (a1)–(a5) linearly increasing, (b1)–(b5) linearly decreasing, and (c1)–(c5) uniform. The input and the target amplitude profiles are compared in the first row of each column.
    Fig. 6. DPH-based intensity control. Amplitudes profiles, simulated (Sim.) and experimental (Exp.) 2D intensity maps with three tailored on-axis intensity profiles: (a1)–(a5) linearly increasing, (b1)–(b5) linearly decreasing, and (c1)–(c5) uniform. The input and the target amplitude profiles are compared in the first row of each column.
    Comparison of the efficiencies of the two complex amplitude modulation methods for generating Bessel beams. The insets schematically represent the corresponding target on-axis intensity profiles of each tailored Bessel beam.
    Fig. 7. Comparison of the efficiencies of the two complex amplitude modulation methods for generating Bessel beams. The insets schematically represent the corresponding target on-axis intensity profiles of each tailored Bessel beam.
    DPH-assisted 2PP. (a) Schematic of the 2PP setup. The first row of (b1)–(e1) shows the relative position between the photoresist and the structured light beams. The second row, (b2)–(e2), and the third row, (b3)–(e3), show the SEM photos of the resulting microstructure fabricated via 2PP with the insets presenting the transverse intensity profiles in the experiments. Scaling bars in (b2) and (b3) represent 50 µm and others represent 5 µm.
    Fig. 8. DPH-assisted 2PP. (a) Schematic of the 2PP setup. The first row of (b1)–(e1) shows the relative position between the photoresist and the structured light beams. The second row, (b2)–(e2), and the third row, (b3)–(e3), show the SEM photos of the resulting microstructure fabricated via 2PP with the insets presenting the transverse intensity profiles in the experiments. Scaling bars in (b2) and (b3) represent 50 µm and others represent 5 µm.
    TrajectoryFormulas and Parameters
    Hookc(z)=a(zz0)+bzz0+c, a = 0.0015 µm, b = 4.33 × 109 µm, c = −3.5 mm, z0 = 1 × 103 mm
    Parabolicc(z) = a(zz0)2 + b, a = 1 × 10−9 µm, b = 0.92 mm, z0 = 1.4 × 103 mm
    Table 1. Self-Accelerating Trajectories of the Airy Beams
    Erse Jia, Chen Xie, Yue Yang, Minglie Hu, "Generation and application of structured beams based on double-phase holograms [Invited]," Chin. Opt. Lett. 21, 110002 (2023)
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