• Chinese Optics Letters
  • Vol. 20, Issue 1, 011203 (2022)
Guanfang Wang1, Zhu Li1、*, Jialing Huang2, Huizong Duan1, Xiangqing Huang1, Hongfan Liu1, Qi Liu1, Shanqing Yang1, Liangcheng Tu1, and Hsien-Chi Yeh1
Author Affiliations
  • 1MOE Key Laboratory of TianQin Mission, TianQin Research Center for Gravitational Physics & School of Physics and Astronomy, Frontiers Science Center for TianQin, CNSA Research Center for Gravitational Waves, Sun Yat-sen University (Zhuhai Campus), Zhuhai 519082, China
  • 2Shenhe Middle School, Heyuan 517000, China
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    DOI: 10.3788/COL202220.011203 Cite this Article Set citation alerts
    Guanfang Wang, Zhu Li, Jialing Huang, Huizong Duan, Xiangqing Huang, Hongfan Liu, Qi Liu, Shanqing Yang, Liangcheng Tu, Hsien-Chi Yeh. Analysis and suppression of thermal effect of an ultra-stable laser interferometer for space-based gravitational waves detection[J]. Chinese Optics Letters, 2022, 20(1): 011203 Copy Citation Text show less
    Schematic diagram of the basic Michelson interferometer.
    Fig. 1. Schematic diagram of the basic Michelson interferometer.
    Two interference light paths [(a) light route A and (b) light route B] separated from the Michelson interferometer.
    Fig. 2. Two interference light paths [(a) light route A and (b) light route B] separated from the Michelson interferometer.
    (a) Reflection optical path and (b) transmission optical path in the BS.
    Fig. 3. (a) Reflection optical path and (b) transmission optical path in the BS.
    Compensator in the Michelson interferometer.
    Fig. 4. Compensator in the Michelson interferometer.
    (a) Coefficient of the optical path variation with temperature when the incident angle θs is constant and the thickness Ls is variable. (b) Coefficient of the optical path variation with temperature when the thickness Ls is constant and the incident angle θs is variable.
    Fig. 5. (a) Coefficient of the optical path variation with temperature when the incident angle θs is constant and the thickness Ls is variable. (b) Coefficient of the optical path variation with temperature when the thickness Ls is constant and the incident angle θs is variable.
    Optical path of the heterodyne laser interferometer, which refers to LPF, is designed with a compensator. Laser 1 and Laser 2 are the heterodyne laser sources obtained by acousto-optical modulators (AOMs).
    Fig. 6. Optical path of the heterodyne laser interferometer, which refers to LPF, is designed with a compensator. Laser 1 and Laser 2 are the heterodyne laser sources obtained by acousto-optical modulators (AOMs).
    Relationship of the temperature and optical coupling coefficient and the incident angle of the compensator. The black line is the result of the theoretical model, and the red dots are the results of the COMSOL simulation.
    Fig. 7. Relationship of the temperature and optical coupling coefficient and the incident angle of the compensator. The black line is the result of the theoretical model, and the red dots are the results of the COMSOL simulation.
    ParametersValue
    Thermal expansion coefficient α0.57 ppm/K
    Refractive index variation with temperature dn/dT12.8 ppm/K
    Thickness of lens L7 mm
    Table 1. The Parameters of Fused Silica Lens in the Interferometer
    Lens No. (in Fig. 6)Incident Angle
    2, 3, 4, 5, 6, 7, 845°
    155°
    935°
    Compensator45° (initial)
    Table 2. The Incident Angle of Each Lens of the OBI
    Guanfang Wang, Zhu Li, Jialing Huang, Huizong Duan, Xiangqing Huang, Hongfan Liu, Qi Liu, Shanqing Yang, Liangcheng Tu, Hsien-Chi Yeh. Analysis and suppression of thermal effect of an ultra-stable laser interferometer for space-based gravitational waves detection[J]. Chinese Optics Letters, 2022, 20(1): 011203
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