• Acta Photonica Sinica
  • Vol. 51, Issue 2, 0251213 (2022)
Ben LI1、2, Jingfeng ZHOU1、2, Yi WANG1、2, and Yang BAI1、2、*
Author Affiliations
  • 1Institute of Photonics & Photon-Technology,Northwest University,Xi'an 710127,China
  • 2State Key Laboratory of Photon-Technology in Western China Energy,Xi'an 710127,China
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    DOI: 10.3788/gzxb20225102.0251213 Cite this Article
    Ben LI, Jingfeng ZHOU, Yi WANG, Yang BAI. Finite Element Thermal Analysis of Optical Lenses in 10 kW Rectangular Spot Laser Space Combiner[J]. Acta Photonica Sinica, 2022, 51(2): 0251213 Copy Citation Text show less
    Engineering 3D design drawing of combiner
    Fig. 1. Engineering 3D design drawing of combiner
    Spot center coordinates of 18 laser beams on the incident surface of the M1 lens
    Fig. 2. Spot center coordinates of 18 laser beams on the incident surface of the M1 lens
    Simulated temperature distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Fig. 3. Simulated temperature distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Maximum temperature change law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Fig. 4. Maximum temperature change law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Simulated thermal deformation distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Fig. 5. Simulated thermal deformation distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Maximum thermal deformation law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Fig. 6. Maximum thermal deformation law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Simulated thermal stress distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Fig. 7. Simulated thermal stress distribution on incident surface,exit surface and central section of the lens M1 to M5 at the 10 kW laser beam combining time of 1 000 s
    Maximum thermal stress law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Fig. 8. Maximum thermal stress law in the lens M1 to M5 varying within 1 000 s of the 10 kW combined laser irradiation
    Physical photo of the combiner
    Fig. 9. Physical photo of the combiner
    Center temperature test photos on the exit surface of the lens M5 during 10 kW laser beam combining period of 1 000 s using a thermal imager
    Fig. 10. Center temperature test photos on the exit surface of the lens M5 during 10 kW laser beam combining period of 1 000 s using a thermal imager
    Measurement curve and simulation curve of the center temperature on the exit surface of lens M5 during the 10 kW laser beam combining period of 1 000 s
    Fig. 11. Measurement curve and simulation curve of the center temperature on the exit surface of lens M5 during the 10 kW laser beam combining period of 1 000 s
    LensSurfaceRadiusCenter thicknessDiameterRadio of center thickness to diameter
    m1In:sphere-72.102.007.00.286
    Out:sphere+5.30
    m2In:sphere+20.001.5012.00.125
    Out:sphere-11.8
    m3In:sphere+30.003.6012.00.300
    Out:sphere+15.40
    M1In:sphere+115.3526.00130.000.200
    Out:plane
    M2In:sphere+114.0214.00110.000.127
    Out:sphere+153.11
    M3In:sphere-138.2310.00100.000.100
    Out:sphere+78.40
    M4In:cylinderx:∞;y:+119.4811.0090.000.122
    Out:plane
    M5In:plane3.0090.000.033
    Out:plane
    Table 1. Parameters of lenses in space incoherent beam combiner
    MjLj × Wjωjajbjhj
    M170.35 × 32.05

    X:4.05

    Y:4.05

    20.7811.9811.98
    M242.95× 19.05

    X:2.05

    Y:2.05

    12.957.487.48
    M337.79× 15.95

    X:1.15

    Y:1.15

    11.836.836.83
    M431.09 × 13.01

    X:0.85

    Y:0.85

    9.805.665.66
    M530.21 × 12.52

    X:0.85

    Y:0.73

    9.585.535.53
    Table 2. Transmission parameters of the laser beams through the optical lenses in space combining
    ParameterValue
    Density/(kg·m-32 201
    Heat capacity/(J·K-1·kg-135.936+3.366 8T-0.0041T2+2.580 3(10-6T3-8.086 7(10-10T4+9.904 8(10-14T5
    Heat conductivity/(W·m-1·K-10.978 6+1.12(10-3T
    Heat transfer coefficient/(W·m-2 K-110
    Heat radiation coefficient0.8
    Heat expansion/K-15×10-7
    Poisson ratio0.16
    Young´s modulus/GPa6.90(1010)+1.1(107T+11 447 T2-25.91T3+0.015 45T4-3.022 2(10-6T5
    Shear modulus/GPa31.3
    Table 3. Thermo-physical properties of fused silica glass
    LensΔTmax/KΨmax/μmΦmax/MPaG
    m13.460.1711.280.01
    m26.260.133.500.01
    m36.980.117.880.01
    M182.964.5312.680.11
    M298.893.667.170.05
    M398.820.734.710.03
    M4111.911.828.250.06
    M587.960.293.290.01
    Table 4. Thermo-mechanical properties of optical lenses in combiner
    Ben LI, Jingfeng ZHOU, Yi WANG, Yang BAI. Finite Element Thermal Analysis of Optical Lenses in 10 kW Rectangular Spot Laser Space Combiner[J]. Acta Photonica Sinica, 2022, 51(2): 0251213
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