• Laser & Optoelectronics Progress
  • Vol. 59, Issue 11, 1119001 (2022)
Yizhe Zhang and Xiaojie Guo*
Author Affiliations
  • Institute of Photonics Technology, Jinan University, Guangzhou 511443, Guangdong , China
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    DOI: 10.3788/LOP202259.1119001 Cite this Article Set citation alerts
    Yizhe Zhang, Xiaojie Guo. Design of Fiber and Crosstalk Characteristics for Few-Mode Optical Parametric Amplification[J]. Laser & Optoelectronics Progress, 2022, 59(11): 1119001 Copy Citation Text show less

    Abstract

    In this article, the crosstalk characteristics of the few-mode optical parametric amplification (FMOPA) are studied, and the intra-mode and inter-mode four-wave mixing and their phase matching conditions in the few-mode fiber are described in detail. The time-independent nonlinear Schrodinger transmission equation in few-mode fibers is given, and the intermodal crosstalk of FMOPA is described by numerical solution method, and the corresponding semi-analytical solution is deduced. First, a new fiber structure is designed to transmit five modes in C-band (1530?1565 nm) with a bandwidth of 20 nm. Then, the mode field distributions of different modes are obtained with COMSOL simulation software, and the propagation constants and nonlinear coefficients between these modes are calculated with Matlab software. Finally, the maximum differential gain between different modes can be reduced to 0.7 dB over 150 m fiber length by properly adjusting the transmission power of each mode. The experimental results show that the crosstalk results obtained by the semi-analytical solution and the numerical solution method are highly consistent.
    Apaz=iγaaApa2+2baγabApb2Apa
    Asaz=i2γaaApa2+baγabApb2Asa+γaaApa2Aia*exp-iΔβaMIz+2baγabApaApbAib*exp-iΔβabPCz+2baγabApaApb*Asbexp-iΔβabBSz
    γmnω=ωn2cFmx,y2Fnx,y2dxdyFmx,y2dxdyFnx,y2dxdy
    ΔβaMIω=βaωs+βaωi-2βaωpβ2aΩs2
    ΔβabPCω=βaωs+βbωi-βaωp-βbωpΩsβ1a-β1b+β2a+β2b2Ωs
    ΔβabBSω=βaωs+βbωp-βaωp-βbωsΩsβ1a-β1b+β2a-β2b2Ωs
    βsa+βib-2βpaβ0b-β0a+β1a-β1bΩs+β2a+β2b2Ωs2
    βsb+βib-2βpa2β0b-β0a+β2a+β2bΩs2
    nr=n01-2Δrr1α,rr1nSiO2,r>r1
    fmn=Fmx,y2Fnx,y2dxdyFmx,y2dxdyFnx,y2dxdy
    Gm=1+γmmPmgmsinhgmL2
    B1=m1a1expn1+gmL-1n1+gm+m1b1expn1-gmL-1n1-gm
    B2=m2a2expn2+gmL-1n2+gm+m2b2expn2-gmL-1n2-gm
    B3=m3m5a2expn3+n5+gmL-1n3+gm×n3+n5+gm-m3m5a2expn5L-1n3+gm×n5+m3m5b2expn3+n5-gmL-1n3-gm×n3+n5-gm-m3m5b2expn5L-1n3-gm×n5+m4m5a1expn4+n5+gmL-1n4+gm×n4+n5+gm-m4m5a1expn5L-1n4+gm×n5+m4m5b1expn4+n5-gmL-1n4-gm×n4+n5-gm-m4m5b1expn5L-1n4-gm×n5
    B4=B1+B2+B3Gn
    Gmn=B4Bsm02
    m1=2iγmnApn0Apm*0,n1=-iκm2-iγnnPn+iΔβmnBSm2=2iγmnApn0Apm0,n2=iκm2-iγnnPn+iΔβmnPCm3=-2iγmnApn*0Apm0,n3=iκm2+iγnnPn+iΔβmnBSm4=-2iγmnApn*0Apm*0,n4=-iκm2+iγnnPn+iΔβmnPCm5=iγnnApn20,n5=-iκn-2iγnnPn
    a1=Asm021+iκm2gm+iγmmPmAim*02gmb1=Asm021-iκm2gm-iγmmPmAim*02gma2=Aim*021-iκm2gm-iγmmPmAsm02gmb2=Aim*021+iκm2gm+iγmmPmAsm02gm
    Yizhe Zhang, Xiaojie Guo. Design of Fiber and Crosstalk Characteristics for Few-Mode Optical Parametric Amplification[J]. Laser & Optoelectronics Progress, 2022, 59(11): 1119001
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