• Chinese Optics Letters
  • Vol. 20, Issue 11, 111901 (2022)
Jifang Rong1, Yiwu Ma1, Meng Xu2、**, and Hua Yang1、*
Author Affiliations
  • 1College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
  • 2School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
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    DOI: 10.3788/COL202220.111901 Cite this Article Set citation alerts
    Jifang Rong, Yiwu Ma, Meng Xu, Hua Yang. Interactions of the second-order solitons with an external probe pulse in the optical event horizon[J]. Chinese Optics Letters, 2022, 20(11): 111901 Copy Citation Text show less

    Abstract

    We demonstrate manipulating the interactions of a second-order soliton with a weak probe pulse under the condition of group velocity match and group velocity mismatch (GVMM). During these interactions, the second-order soliton acting as an effective periodic refractive-index barrier leads to the polychromatic scattering of the probe pulse, which is represented as unequally spaced narrow-band sources with adjustable spectral width. In the case of GVMM, almost all the spectral components of the narrow-band sources meet the nonlinear frequency conversion relationship by using the wavenumber-matching relationship due to the robustness of the second-order soliton under moderate high-order-dispersion perturbations, so this case is more conducive to the study of the soliton wells. In addition, different transmission states of a soliton well are demonstrated under different probe pulse properties in the fiber-optical analog of the event horizon. When the power of the probe pulse is strong enough, a dispersive wave can be generated from the collision of two fundamental solitons split from the two second-order solitons. These interesting phenomena investigated in this work as a combination of white- and black-hole horizons can be considered as promising candidates for frequency conversion and broadband supercontinuum generation.
    izA+12t2Aiεt3A+|A|2A=0.

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    A0(t)=ASol(t)+AP(t),

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    ASol(t)=2P0sech(t),

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    AP(t)=APsech((tt1)/T1)exp(iδP(tt1)).

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    D(δ)=δ2/2+εδ3

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    12β2δ2+16β3δ3τgδ=12|β2|T0+2πZsN.

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    D(ωPω0)=D(ωIω0).

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    D(ωPnω0)=D(ωInω0).

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    A(t=0)=APsech(t/T1)exp(iδPt)+2P0sech(tt1)+2P0sech(t+t1).

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    Jifang Rong, Yiwu Ma, Meng Xu, Hua Yang. Interactions of the second-order solitons with an external probe pulse in the optical event horizon[J]. Chinese Optics Letters, 2022, 20(11): 111901
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