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  • Received: May. 29, 2020

    Accepted: Jul. 6, 2020

    Posted: Aug. 6, 2020

    Published Online: Aug. 6, 2020

    The Author Email: Jin Kaichao (1370887198@qq.com), Li Yongdong (leyond@mail.xjtu.edu.cn), Li Feng (felix831204@xjtu.edu.cn), Belić Milivoj R. (milivoj.belic@qatar.tamu.edu), Zhang Yanpeng (ypzhang@mail.xjtu.edu.cn), Zhang Yiqi (zhangyiqi@mail.xjtu.edu.cn)

    DOI: 10.1117/1.AP.2.4.046002

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    Kaichao Jin, Yongdong Li, Feng Li, Milivoj R. Belić, Yanpeng Zhang, Yiqi Zhang. Rabi oscillations of azimuthons in weakly nonlinear waveguides[J]. Advanced Photonics, 2020, 2(4): 046002

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iZΨ+12k0(2X2+2Y2)Ψ+k0n2nb|Ψ|2Ψ+k0n(X,Y)nbnb[1+μcos(δZ)]Ψ=0,(1)

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izψ+12(2x2+2y2)ψ+σ|ψ|2ψ+V[1+μcos(dz)]ψ=0,(2)

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βu=12(2x2+2y2)u+Vu,(3)

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ψ(x,y)=A[u1(x,y)+iBu2(x,y)]exp(iβz),(4)

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U(x,y,z=0)=A[u1(x,y)+iBu2(x,y)](5)

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βP+ωLz+I+N=0,βLz+ωP+I+N=0,(6)

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ω=P(I+N)Lz(I+N)Lz2PP.(7)

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ψ=cm(z)Um(x,y)exp(iβmz)+cn(z)Un(x,y)exp(iβnz),(8)

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icmzUmexp(idz)+12μcmVUm[1+exp(2idz)]+icnzUn+12μcnVUn[exp(idz)+exp(idz)]=0.(9)

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icmz+12μUmVUnUmUmcn=0,icnz+12μUnVUmUnUncm=0,(10)

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zR=π|ΩR|,(11)

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ΩR=μ2UmVUnUmUmUnUn.(12)

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