• Photonics Research
  • Vol. 7, Issue 12, 1454 (2019)
Xinghua Li, Ji Wu, Siqi Xiong, Mengting Chen..., Hongye Yan, Zhiguo Wang and Yanpeng Zhang*|Show fewer author(s)
Author Affiliations
  • Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Laboratory of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049, China
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    DOI: 10.1364/PRJ.7.001454 Cite this Article Set citation alerts
    Xinghua Li, Ji Wu, Siqi Xiong, Mengting Chen, Hongye Yan, Zhiguo Wang, Yanpeng Zhang, "Spatial and frequency multimode in the dressing parametric amplified multiwave mixing process," Photonics Res. 7, 1454 (2019) Copy Citation Text show less

    Abstract

    The quantum multimode of correlated fields is essential for future quantum-correlated imaging. Here we investigate multimode properties theoretically and experimentally for the parametric amplified multiwave mixing process. The multimode behavior of the signals in our system stems from spatial phase mismatching caused by frequency resonant linewidth. In the spatial domain, we observe the emission rings with an uneven distribution of photon intensity in the parametric amplified four-wave mixing process, suggesting different spatial modes. The symmetrical distribution of spatial spots indicates the spatial correlation between the Stokes and anti-Stokes signals. While in the frequency domain, the multimode character is reflected as multiple peaks splitting in the signals’ spectrum. A novelty in our experiment, the number of multimodes both in the spatial and frequency domains can be controlled by dressing lasers by modifying the nonlinear susceptibility. Finally, we extend the multimode properties to the multiwave mixing process. The results can be applied in quantum imaging.
    G=(γΓ)2,(1)

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    γ=gK{g>Δk2,K=g2(Δk2)2,Γ=sinh(KL)g<Δk2,K=(Δk2)2g2,Γ=sin(KL)}.(2)

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    χs(3)=Nμ202μ212ε03(Γ21+iΔ1)D1D2,(3)

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    χas(3)=Nμ202μ212ε03(Γ20+iΔ1)D1D2,(4)

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    χS1(5)=Nμ20μ20μ21μ21μ32μ32ε05(Γ21+iΔ2)(Γ31+iΔ2+iΔ3)d1d2d3,(5)

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    χS2(5)=Nμ20μ20μ21μ21μ32μ32(Γ20+iΔ1)(Γ30iδ1+iΔ1+iΔ3)d1d2d3,(6)

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    Δkz=1c[2ω1n1(ϖs+δ)nscos(φs)(ϖasδ)nascos(φas)],(7)

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    Δkx=1c[(ϖs+δ)nssin(φs)+(ϖasδ)nassin(φas)].(8)

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    Δkz=1c{2ω1n1ω3(ϖS1+δ1)nS1cos(φS1)(ϖS2+δ2)nS2cos(φS2)+[ϖS3(δ1+δ2)]nS3cos(φS2)},(9)

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    Δkx=(ϖS1+δ1)nS1sin(φS1)(ϖS2+δ2)nS2sin(φS2)[ϖS3(δ1+δ2)]nS3sin(φS3).(10)

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    Nspacial=PMareaSpacial mode size,(11)

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    ΔΩ=πΔΦ2=πΔk|k1|.(12)

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    Xinghua Li, Ji Wu, Siqi Xiong, Mengting Chen, Hongye Yan, Zhiguo Wang, Yanpeng Zhang, "Spatial and frequency multimode in the dressing parametric amplified multiwave mixing process," Photonics Res. 7, 1454 (2019)
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