• Chinese Optics Letters
  • Vol. 13, Issue 11, 113001 (2015)
Maopeng Xia, Jianjun Li, Youbo Hu, Wenyang Sheng, Dongyang Gao, Weiwei Pang, and Xiaobing Zheng*
Author Affiliations
  • Key Laboratory of Optical Calibration and Characterization, Chinese Academy of Sciences, Hefei 230031, China
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    DOI: 10.3788/COL201513.113001 Cite this Article Set citation alerts
    Maopeng Xia, Jianjun Li, Youbo Hu, Wenyang Sheng, Dongyang Gao, Weiwei Pang, Xiaobing Zheng. Spectral properties of entangled photon pairs generated via quasi-phased-matched spontaneous parametric down-conversion[J]. Chinese Optics Letters, 2015, 13(11): 113001 Copy Citation Text show less

    Abstract

    The spectral properties of entangled photon pairs generated via quasi-phased matching in spontaneous parametric down-conversion are proposed and demonstrated experimentally. A general mathematical model for evaluating the spectral properties is developed to obtain the spectrum shape and range of down-converted photons. The model takes into account the effects of phase mismatching due to non-ideal pumping and the relationship between crystal periodic modulation function and the incidence angle of the pump beam. The spectrum curve shape is determined by the discrete Fourier transform of a Gaussian pump beam and the integration of parametric down-conversion generated by an individual plane wave. An experiment is carried out with a PPLN non-linear crystal and dispersing optics, which shows a good consistency in their spectral ranges and shapes with our model predictions within the spectrum of 600–633 nm. This therefore illustrates that both the simulation model and the experimental process are reasonable. This novel method has potential applications in high-accuracy calibration in the wide spectrum using correlated photons.
    Δk=kpkski2π/Λ,(1)

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    Λ0=2π/(kpksk).(2)

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    kpsinψ=ksinθ.(3)

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    kpcosψ=ks+ki+kcosθ.(4)

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    Λ=2πkp2(ks+ki)2sin2θ(ks+ki)cosθ.(5)

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    1/λp=1/λs+1/λi,(6)

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    (ks+ki)cosα+kcosθkpcosψ=Δk,(7)

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    (ks+ki)cosα+kcosθkp1cosψ2.783/L.(8)

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    Δλ2=max(λs)min(λs).(9)

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    P(ωp,ψ,ξ)=S(ωp)S(ψ,ξ)P0,(10)

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    Ps=λs1λs2βL2dλs0dωp02πS(ωP)P0dξθ1θ2S(ψ,ξ)sinc2(ΔkL2)dψ.(11)

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    β=(2π)42cdeff2λpε0np21λs5(1λp1λs)20LPp(l)dldλ.(12)

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    Δk=kwpcos(ψα)kcos(θα)(ks+ki).(13)

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    NλSC(λ)=λhcPS.(14)

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    Maopeng Xia, Jianjun Li, Youbo Hu, Wenyang Sheng, Dongyang Gao, Weiwei Pang, Xiaobing Zheng. Spectral properties of entangled photon pairs generated via quasi-phased-matched spontaneous parametric down-conversion[J]. Chinese Optics Letters, 2015, 13(11): 113001
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