• Chinese Optics Letters
  • Vol. 21, Issue 3, 030601 (2023)
Pavel S. Anisimov*, Evgeny D. Tsyplakov, Viacheslav V. Zemlyakov, and Jiexing Gao
Author Affiliations
  • Central Research Institute, 2012 Labs, Huawei Technologies, Shenzhen 518129, China
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    DOI: 10.3788/COL202321.030601 Cite this Article Set citation alerts
    Pavel S. Anisimov, Evgeny D. Tsyplakov, Viacheslav V. Zemlyakov, Jiexing Gao. Speckle backpropagation for compensation of nonlinear effects in few-mode optical fibers[J]. Chinese Optics Letters, 2023, 21(3): 030601 Copy Citation Text show less

    Abstract

    We propose an alternative approach to compensation of intermodal interactions in few-mode optical fibers by means of digital backpropagation. Instead of solving the inverse generalized multimode nonlinear Schrödinger equation, we accomplish backpropagation of the multimode signals with help of their near-field intensity distributions captured by a camera. We demonstrate that this task can successfully be handled by a deep neural network and provide a proof of concept by training an autoencoder for backpropagation of six linearly polarized (LP) modes of a step-index fiber.
    Apz=i(β0(p)β0(0))Ap(β1(p)β1(0))Apt+in2Ndβn(p)n!(it)nAp+in2ω0cl,m,n[(1fR)SplmnKAlAmAn*+fRSplmnRAltdτhR(τ)Am(z,tτ)An*(z,tτ)],

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    I(x,y)=|i=1NAiφi(x,y)|2=i,j=1NAiAj*φi(x,y)φj(x,y),

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    C=|ΔItrue(x,y)ΔIrec(x,y)dxdyΔItrue2(x,y)dxdy·ΔIrec2(x,y)dxdy|,

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    MSE=1Ni=1N[(ReAitReAir)2+(ImAitImAir)2],

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    L=MSE+PSNRLoss(beamtrue,beamrec),

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    Inoised(x,y)=max[0,Itrue(x,y)+N(0,σ)],

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    Pavel S. Anisimov, Evgeny D. Tsyplakov, Viacheslav V. Zemlyakov, Jiexing Gao. Speckle backpropagation for compensation of nonlinear effects in few-mode optical fibers[J]. Chinese Optics Letters, 2023, 21(3): 030601
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