• Photonics Research
  • Vol. 10, Issue 1, 230 (2022)
Jiaqi Yuan1、2, Xuemei Cheng1、2、3、*, Xing Wang2, Tengfei Jiao1, and Zhaoyu Ren1、4、*
Author Affiliations
  • 1State Key Laboratory of Photon-Technology in Western China Energy, International Collaborative Center on Photoelectric Technology and Nano Functional Materials, Institute of Photonics & Photon-Technology, Northwest University, Xi’an 710069, China
  • 2State Key Laboratory of Transient Optics and Photonics, Chinese Academy of Sciences, Xi’an 710119, China
  • 3e-mail: xmcheng@nwu.edu.cn
  • 4e-mail: rzy@nwu.edu.cn
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    DOI: 10.1364/PRJ.423799 Cite this Article Set citation alerts
    Jiaqi Yuan, Xuemei Cheng, Xing Wang, Tengfei Jiao, Zhaoyu Ren. Single-scan polarization-resolved degenerate four-wave mixing spectroscopy using a vector optical field[J]. Photonics Research, 2022, 10(1): 230 Copy Citation Text show less

    Abstract

    We report on a new method to achieve the single-scan polarization-resolved degenerate four-wave mixing (DFWM) spectroscopy in a Rb atomic medium using a vector optical field, in which two pump beams are kept linearly polarized and a vector beam is employed as the probe beam. As the polarization and intensity of the DFWM signal are closely dependent on the polarization state of the probe beam, a vector probe beam with space-variant states of polarization is able to generate a DFWM signal with space-variant states of polarization and intensity across the DFWM image. Accordingly, the polarization-resolved spectra can be retrieved from a single DFWM image. To the best of our knowledge, this is the first time that the single-scan polarization-resolved spectrum detection has been realized experimentally with a vector beam. This work provides a simple but efficient single-scan polarization-resolved spectroscopic method, which would be of great utility for the samples of poor light stability and fast optical processes.
    ρba1(3)=13[μba·E3(ω3)][μab·E2*(ω2)][μba·E1(ω1)]ei(ω1ω2+ω3)t[(ωbaω1+ω2ω3)i/T2][(ω2ω1)+i/T1][(ωbaω1)i/T2],

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    ρba2(3)=13[μba·E1(ω1)][μab·E2*(ω2)][μba·E3(ω3)]ei(ω3ω2+ω1)t[(ωbaω3+ω2ω1)i/T2][(ω2ω3)+i/T1][(ωbaω3)i/T2],

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    P(3)=Nμabρba(3)=Nμab(ρba1(3)+ρba2(3)),

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    Pba(3)=2N3μab[μba·E1(ω)][μab·E2*(ω)][μba·E3(ω)](Δ+i/T2)(i/T1)(Δ+i/T2)eiωt,

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    2ikEpzμ0ε0εr(2Ept22iωEpt)=μ0(2PpNLt2iωPpNLtω2PpNL)eiΔkz.

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    2ikpEpz=μ0ωp2PpNLeiΔkz.

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    E4z=iω22ε0cnP(3),

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    E4(z)=iω22ε0cnP(3)z.

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    P(3)=Px(3)+Py(3)AE1x+BE1y,

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    Jiaqi Yuan, Xuemei Cheng, Xing Wang, Tengfei Jiao, Zhaoyu Ren. Single-scan polarization-resolved degenerate four-wave mixing spectroscopy using a vector optical field[J]. Photonics Research, 2022, 10(1): 230
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