• Photonics Research
  • Vol. 11, Issue 9, 1553 (2023)
Yanke Li1, Yu Zou1, Sheng Liu1、3、*, Peng Li1、2、4、*, Bingyan Wei1、5、*, and Jianlin Zhao1、2
Author Affiliations
  • 1Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, and Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi’an 710129, China
  • 2Collaborative Innovation Center of Light Manipulation and Applications, Shandong Normal University, Jinan 250358, China
  • 3e-mail: shengliu@nwpu.edu.cn
  • 4e-mail: pengli@nwpu.edu.cn
  • 5e-mail: wbyxz@nwpu.edu.cn
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    DOI: 10.1364/PRJ.488561 Cite this Article Set citation alerts
    Yanke Li, Yu Zou, Sheng Liu, Peng Li, Bingyan Wei, Jianlin Zhao. Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams[J]. Photonics Research, 2023, 11(9): 1553 Copy Citation Text show less
    Schematic of the realization of analog off-axis circular birefringence of the Bessel beam.
    Fig. 1. Schematic of the realization of analog off-axis circular birefringence of the Bessel beam.
    (a) Experimental setup. Laser, He–Ne laser of wavelength 632.8 nm; P, polarizer; BE, beam expander; SLM, spatial light modulator; BS, beam splitter; L, lens; QWP, quarter-wave plate. (b) Photograph and micrograph of the CWP.
    Fig. 2. (a) Experimental setup. Laser, He–Ne laser of wavelength 632.8 nm; P, polarizer; BE, beam expander; SLM, spatial light modulator; BS, beam splitter; L, lens; QWP, quarter-wave plate. (b) Photograph and micrograph of the CWP.
    Photonic spin Hall effect (PSHE) of tilting Bessel beam passing through a CWP. (a) Theoretical result of the spin separation at different oblique angle; (b)–(d) postselection results of weak measurement; (e) comparison of the experimental results along the vertical dot lines in (b)–(d).
    Fig. 3. Photonic spin Hall effect (PSHE) of tilting Bessel beam passing through a CWP. (a) Theoretical result of the spin separation at different oblique angle; (b)–(d) postselection results of weak measurement; (e) comparison of the experimental results along the vertical dot lines in (b)–(d).
    Enhancement of PSHE by introducing a parabolic Bessel-like beam. (a)–(h) Intensity distributions of the light field at different distances, with the normalized Stokes parameter s3 represented by background colors; (i) offsets of the spin states versus propagation distance.
    Fig. 4. Enhancement of PSHE by introducing a parabolic Bessel-like beam. (a)–(h) Intensity distributions of the light field at different distances, with the normalized Stokes parameter s3 represented by background colors; (i) offsets of the spin states versus propagation distance.
    Control of PSHE by Bessel-like beam with spliced trajectory. (a)–(h) Intensity distributions with s3 represented by background colors; (i) offsets of the different spin states versus propagation distance; (j) spin separation after 10 cm.
    Fig. 5. Control of PSHE by Bessel-like beam with spliced trajectory. (a)–(h) Intensity distributions with s3 represented by background colors; (i) offsets of the different spin states versus propagation distance; (j) spin separation after 10 cm.
    Enhanced PSHE induced by different self-accelerating Bessel-like beams. (a) Bessel-like beam along a cosine-like curve in Ref. [42]; (b) spiral Bessel-like beam in Ref. [43].
    Fig. 6. Enhanced PSHE induced by different self-accelerating Bessel-like beams. (a) Bessel-like beam along a cosine-like curve in Ref. [42]; (b) spiral Bessel-like beam in Ref. [43].
    Parabolic Bessel-like beam. (a) Amplitude distribution of input Bessel beam; (b) phase gradient attached to the input beam; (c) side view of the simulated propagation process, with the pre-designed trajectory marked by the blue dashed line.
    Fig. 7. Parabolic Bessel-like beam. (a) Amplitude distribution of input Bessel beam; (b) phase gradient attached to the input beam; (c) side view of the simulated propagation process, with the pre-designed trajectory marked by the blue dashed line.
    Bessel-like beam with a spliced trajectory. The input amplitude is the same as Fig. 7(a). (a) Phase gradient attached to the input beam, where the white dashed line marks the boundary of the two phase gradients, corresponding to the trajectories at different distances, respectively; (b) side view of the simulated propagation process, with the pre-designed trajectory marked by the blue dashed line.
    Fig. 8. Bessel-like beam with a spliced trajectory. The input amplitude is the same as Fig. 7(a). (a) Phase gradient attached to the input beam, where the white dashed line marks the boundary of the two phase gradients, corresponding to the trajectories at different distances, respectively; (b) side view of the simulated propagation process, with the pre-designed trajectory marked by the blue dashed line.
    Simulation results of transforming the PSHE to the axial CB. (a) Side view of the simulated propagation process; (b)–(e) intensities of the beam passing through two orthogonal analyzers during stable axial CB (after 20 cm), where the double-arrows denote the orientations of analyzers.
    Fig. 9. Simulation results of transforming the PSHE to the axial CB. (a) Side view of the simulated propagation process; (b)–(e) intensities of the beam passing through two orthogonal analyzers during stable axial CB (after 20 cm), where the double-arrows denote the orientations of analyzers.
    Phases for generating (a) the cosine Bessel-like beam in Ref. [42] and (b) the spiral Bessel-like beam in Ref. [43].
    Fig. 10. Phases for generating (a) the cosine Bessel-like beam in Ref. [42] and (b) the spiral Bessel-like beam in Ref. [43].
    Simulation results of the PSHE of parabolic first-order Bessel-like beam. (a)–(d) Intensity distributions of the beam at different distance; (e) offsets of the different spin states versus propagation distance.
    Fig. 11. Simulation results of the PSHE of parabolic first-order Bessel-like beam. (a)–(d) Intensity distributions of the beam at different distance; (e) offsets of the different spin states versus propagation distance.
    Yanke Li, Yu Zou, Sheng Liu, Peng Li, Bingyan Wei, Jianlin Zhao. Linear and nonlinear photonic spin Hall effect induced by analog circular birefringence of Bessel-like beams[J]. Photonics Research, 2023, 11(9): 1553
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