• Photonics Research
  • Vol. 6, Issue 10, 948 (2018)
Xiaoxiao Xue*, Xiaoping Zheng, and Bingkun Zhou
Author Affiliations
  • Department of Electronic Engineering, Tsinghua University, Beijing 100084, China
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    DOI: 10.1364/PRJ.6.000948 Cite this Article Set citation alerts
    Xiaoxiao Xue, Xiaoping Zheng, Bingkun Zhou. Soliton regulation in microcavities induced by fundamental–second-harmonic mode coupling[J]. Photonics Research, 2018, 6(10): 948 Copy Citation Text show less

    Abstract

    Microcomb generation with simultaneous χ(2) and χ(3) nonlinearities brings new possibilities for ultrabroadband and potentially self-referenced integrated comb sources. However, the evolution of the intracavity field involving multiple nonlinear processes shows complex dynamics that are still poorly understood. Here, we report on strong soliton regulation induced by fundamental–second-harmonic (FD-SH) mode coupling. The formation of solitons from chaos is extensively investigated based on coupled Lugiato–Lefever equations. The soliton generation shows more deterministic behaviors in the presence of FD-SH mode interaction, which is in sharp contrast with the usual cases where the soliton number and relative locations are stochastic. Deterministic single soliton transition, soliton binding, and prohibition are observed, depending on the phase-matching condition and coupling coefficient between the fundamental and second-harmonic waves. Our finding provides important new insights into the soliton dynamics in microcavities with simultaneous χ(2) and χ(3) nonlinearities and can be immediate guidance for broadband soliton comb generation with such platforms.
    E1z=(α1iδ1ik122τ2+iγ1|E1|2+i2γ12|E2|2)E1+iκE2E1*+η1Ein,(1)

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    E2z=(α2i2δ1iΔkΔkτik222τ2+iγ2|E2|2+i2γ21|E1|2)E2+iκ*E12.(2)

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    Δϕ=ϕSH(2ωp+NΔω)ϕFD(ωp)ϕFD(ωp+NΔω)=ΔkL+ΔkLNΔω+k2L2(NΔω)2+2γ21|E1|2L2δ0,(3)

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    E1|z=0=E10+eiϕ02δ0γ1Lsech[2δ0|k1|L(τtR2)],(4)

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    ϕ0=arccos(1π8δ0α12Pinγ1η12L).(5)

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    Xiaoxiao Xue, Xiaoping Zheng, Bingkun Zhou. Soliton regulation in microcavities induced by fundamental–second-harmonic mode coupling[J]. Photonics Research, 2018, 6(10): 948
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