• Optics and Precision Engineering
  • Vol. 31, Issue 1, 89 (2023)
Ruoxian LIU1,3, Shiyuan ZHAO2,3,*, Yiying GU2,3, Rifan XIE2, and Mingshan ZHAO2,3
Author Affiliations
  • 1School of Mechanical Engineering, Dalian University of Technology, Dalian6024, China
  • 2School of Optoelectronic Engineering and Instrumentation Science, Dalian University of Technology, Dalian11604, China
  • 3Key Laboratory of Advanced Optoelectronic Technology of Liaoning Province, Dalian116024, China
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    DOI: 10.37188/OPE.20233101.0089 Cite this Article
    Ruoxian LIU, Shiyuan ZHAO, Yiying GU, Rifan XIE, Mingshan ZHAO. Design of fiber array collimator and measurement of its divergence angle[J]. Optics and Precision Engineering, 2023, 31(1): 89 Copy Citation Text show less

    Abstract

    The optical fiber array collimator is a major component in optical fiber communication systems, and its development is gradually moving toward array and integration. The traditional method of constructing a fiber array collimator is based on single-fixed and graded index lenses. It has disadvantages, such as difficulties in integrating and expanding the number of array elements and a complex packaging process. In this paper, a method of fabricating a fiber array collimator based on a plano-convex microlens array is proposed. The method utilizes the advantages of easy arraying of optical microlenses and good uniformity of array element characteristics. The theories of Gaussian and matrix optics were applied to analyze and simulate the collimation characteristics and determine the relevant design parameters of the fiber array collimator. A fiber array collimator with an array pitch of 250 μm is fabricated in this study. The far-field divergence angle is the main performance parameter measured using the far-field spot method. The measurement uncertainty is analyzed and evaluated using the Monte Carlo method. The measured values of far-field divergence angles of each channel in the fiber array collimator are 0.69°, 0.67°, 0.71°, and 0.68°, respectively, and the measurement expansion uncertainty is 0.02°, which is within the design tolerance limit of (0.68±0.03)°. The optical fiber collimator has good collimation characteristics and can meet the requirements of miniaturization and integration in the field of optical communication.
    ω(z)=ω01+(λzπω02)2(1)

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    θ()=limzdω(z)dz=λπω0(2)

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    1q(z)=1R(z)-iλπω2(z)(3)

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    1R(z)=Re1q(z)1ω2(z)=-πλIm1q(z)(4)

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    q=Aq0+BCq0+D(5)

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    M=MnM2M1(6)

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    T=10n0-nn0Rnn01L01100n1n=1n1nLn0-nn0Rn1n0+(n0-n)n1nn0RL,(7)

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    M=ABCD=1d01T1b01=1+n0-nn0Rd(1+n0-nn0Rd)b+n1n0L+n1n0d+n0-nn0Rdn1nLn0-nn0Rn1n0+n0-nnRL+n0-nn0Rb.(8)

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    q0=πω2λi(9)

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    q(b,d)=Aq0+BCq0+D=Axi+BCxi+D=ACx2+BDC2x2+D2+ADx-BCC2x2+D2i(10)

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    ω(b,d)=1-πλIm1q(b,d)R(b,d)=1Re1q(b,d)(11)

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    ω0=ω(b,d)21+[πω(b,d)2λR(b,d)]2=λπADx-BCxD2+C2x2=λπn1nx(1+n0-nnRL+n0-nn0Rb)2+n0-nn0R2x2(12)

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    θ=2λπω0(13)

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    ω0=Rλπn0n1(n0-n)21x=Rλn0n1πω(n-n0)(14)

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    dω0=dω0dR2+dω0dω2(15)

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    dω0dR=λn0n1πω(n-n0)dR=0.259dR(16)

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    dω0dω=λRn0n1π(n-n0)1ω2dω=15.559dω(17)

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    ω1=ω01+(λ(z1-d)πω02)2(16)

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    ω2=ω01+(λ(z2-d)πω02)2(17)

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    z2-z1=πω02λω2ω02-1-ω1ω02-1=4λπθ2θ2πω2λ2-1-θ2πω1λ2-1(18)

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    Ruoxian LIU, Shiyuan ZHAO, Yiying GU, Rifan XIE, Mingshan ZHAO. Design of fiber array collimator and measurement of its divergence angle[J]. Optics and Precision Engineering, 2023, 31(1): 89
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