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Acta Optica Sinica, Volume. 45, Issue 1, 0114001(2025)

Influence of Thermal Effect on Laser Mode Based on Diffraction Transmission Matrix

Xinwei Lian1, Shiyao Fu1,2, Qing Wang1,2, and Chunqing Gao1,2、*
Author Affiliations
  • 1School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
  • 2Key Laboratory of Information Photonics Technology, Ministry of Industry and Information Technology, Beijing 100081, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (16)
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    References (20)
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    Figures & Tables(16)
    Schematic of Kirchhoff diffraction under transmit matrix method

    Fig. 1. Schematic of Kirchhoff diffraction under transmit matrix method

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    Schematic of laser crystal and pump distribution

    Fig. 2. Schematic of laser crystal and pump distribution

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    Propagation path inside the laser crystal

    Fig. 3. Propagation path inside the laser crystal

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    Thermal distribution of laser crystal

    Fig. 4. Thermal distribution of laser crystal

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    Displacement field of the laser crystal at z-direction

    Fig. 5. Displacement field of the laser crystal at z-direction

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    Phase modulation attached by thermal effect

    Fig. 6. Phase modulation attached by thermal effect

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    Schematic of the laser resonator

    Fig. 7. Schematic of the laser resonator

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    Amplitude distribution of eigenmodes without thermal effect

    Fig. 8. Amplitude distribution of eigenmodes without thermal effect

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    Phase distribution of eigenmodes without thermal effect

    Fig. 9. Phase distribution of eigenmodes without thermal effect

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    Amplitude distribution of eigenmodes at 80 W pump power

    Fig. 10. Amplitude distribution of eigenmodes at 80 W pump power

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    Phase distribution of eigenmodes at 80 W pump power

    Fig. 11. Phase distribution of eigenmodes at 80 W pump power

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    Loss of eigenmode HG40, HG31, HG10, and HG11 versus pump power

    Fig. 12. Loss of eigenmode HG40, HG31, HG10, and HG11 versus pump power

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    Loss of eigenmode HG20, HG02, HG21, and HG12 versus pump power

    Fig. 13. Loss of eigenmode HG20, HG02, HG21, and HG12 versus pump power

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    Argument of eigenvalue of the mode with minimum loss versus frequency at 60 W pump power

    Fig. 14. Argument of eigenvalue of the mode with minimum loss versus frequency at 60 W pump power

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    Shift of eigen frequency of HG03 mode versus pump power

    Fig. 15. Shift of eigen frequency of HG03 mode versus pump power

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    • Table 1. Simulation parameters

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      Table 1. Simulation parameters

      ParameterValue
      Radius （r）1.5 mm
      Density （ρc）4.55 g/cm3
      Length （L）30 mm
      Heat convertion coefficient （η）0.3
      Thermal conductivity (k)14 W/（m·K）
      Thermal expension coefficient （αT）7.8×10-6 K-1
      Thermal optical coefficient （dn/dT）7.3×10-6 K-1
      Posion ratio （μ）0.3
      Youngs Modulus （E）310 GPa
      Cooling Temperature （Tc）293 K
      Room Temperature （Tair）295 K
      Convective heat coefficient of air （h）27.5 W/（m2·K）
      Refractive index （n0）1.82
      Pump power （Ps）100 W
      Pump divergence （θp）10°
      Pump beam waist （wp）1 mm
      Distance between pump laser and crystal （D）3 mm
      Absorption cross section （σa）8×10-17 mm-2
      Emission cross section （σe）2.8×10-17 mm-2
      Upper level lifetime （τ）0.23 ms
      Pump wavelength808 nm
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    Xinwei Lian, Shiyao Fu, Qing Wang, Chunqing Gao. Influence of Thermal Effect on Laser Mode Based on Diffraction Transmission Matrix[J]. Acta Optica Sinica, 2025, 45(1): 0114001

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    Paper Information

    Category: Lasers and Laser Optics

    Received: Aug. 15, 2024

    Accepted: Sep. 25, 2024

    Published Online: Jan. 22, 2025

    The Author Email: Gao Chunqing (gao@bit.edu.cn)

    DOI:10.3788/AOS241426

    CSTR:32393.14.AOS241426

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology