[1] Sun Y Q. Study on gas thermal effect of laser internal channel transmission[D](2011).

[2] Accetta J S, Shea R F. Sources of optical distortions in high energy laser systems[J]. Proceedings of SPIE, 0121, 132-139(1978).

[3] Kelly R E, Shen P I W. Thermal blooming in axial pipe flow: the effects of beam shape and thermal conditions at the pipe wall[J]. Applied Optics, 19, 3037-3039(1980).

[4] Shen P I, Andrepont M. Thermal blooming of HEL in the nonflowing beam tube with various wall temperatures[J]. Proceedings of SPIE, 4034, 100-107(2000).

[5] Zhang J Y, Chen F, Ma J et al. Thermal deformation of fused silica substrates and its influence on beam quality[J]. Laser Technology, 43, 374-379(2019).

[6] Liu W S, Yuan Z J, Wang H B et al. Thermal blooming effect of array beams under buoyancy convection in closed channel[J]. Acta Optica Sinica, 42, 0114001(2022).

[7] Sun Y Q, Xi F J, Xu X J et al. Thermal blooming in complicated pipe flow[J]. High Power Laser and Particle Beams, 23, 1813-1817(2011).

[8] Hu P, Zhang J Z, Zhang F Z. Modeling and analysis of inner thermal effects in high energy laser system[J]. High Power Laser and Particle Beams, 34, 119-129(2022).

[9] Gong Y, Wu J, Yang J L et al. Influence of thermal coupling effect on laser beam combining propagation in enclosed space[J]. Chinese Journal of Lasers, 50, 1305002(2023).

[10] Sun Y Q, Xi F J, Chen H B et al. Simulation and analysis of thermal effect of rotary beam[J]. Chinese Journal of Lasers, 38, 0402012(2011).

[11] Zhong Z Q, Zhang X, Zhang B et al. Propagation characteristics of rotating beams under combined effect of atmospheric turbulence and thermal blooming[J]. Acta Physica Sinica, 72, 064204(2023).

[12] Liu S F, Jin G, Chen H B et al. Thermal effect simulation for laser channel transmission[J]. Opto-Electronic Engineering, 28, 14-16, 72(2001).

[13] Qi W Z, Huang W, Zhang B et al. Finite element analysis of thermal distortion of infrared CW laser reflectors[J]. High Power Laser & Particle Beams, 16, 953-956(2004).

[14] Wang N, Lu Y T, Kong Y. Analysing the light intensity distribution of super Gaussian mirror resonator by fast Fourier-transform[J]. Chinese Journal of Lasers, 31, 1317-1322(2004).

[15] Hu X C, He Y H, Wu S et al. Effect of axial wind speed in inner propagation channel on phase characteristics of high-power lasers[J]. Infrared and Laser Engineering, 45, 0806003(2016).

[16] Peng Y F, Cheng Z H. Finite element analyses of thermal distortions of mirror substrates for high power lasers[J]. High Power Laser & Particle Beams, 17, 5-8(2005).

[17] Hu Q Y, Yang Q, Ao H Q et al. Influence of different heat source models on the temperature field of X-ray tube target[J]. Journal of Ningxia Normal University, 39, 44-50(2018).

[18] Wu Z N[M]. Basic principles of computational fluid dynamics(2001).

[19] Smith D C. High-power laser propagation: thermal blooming[J]. Proceedings of the IEEE, 65, 1679-1714(1977).

[20] GaAs Adachi S., AlAs, AlxGa. -xAs: material parameters for use in research and device applications[J]. Journal of Applied Physics, 58, R1-R29(1).

[21] Zhang Y R, Huang Y, Zhong Z Q et al. Analysis of the smoothing performance of a rapid polarization rotation smoothing scheme[J]. Applied Optics, 59, 4624-4633(2020).

[22] Zhu X Y, Qiu S, Ding Y et al. Rotational Doppler effect analysis of multi-radial index Laguerre-Gaussian beam[J]. Acta Optica Sinica, 43, 0726003(2023).

[23] Duran V, Djevarhidjian L, Guillet de Chatellus H. Bidirectional frequency-shifting loop for dual-comb spectroscopy[J]. Optics Letters, 44, 3789-3792(2019).

[24] Garbin B, Fatome J, Oppo G L et al. Symmetry breaking: balancing asymmetries[C](2019).

[25] Chen Y C, Hu Y M, Li Y C et al. Displacement analyzing and support position optimizing of the main mirror with backside support[J]. Acta Photonica Sinica, 36, 1730-1733(2007).

[26] Zhu L X. Study on probability characteristics of adaptive optical phase residual[D](2021).

[27] Gao C Q, Zhang S K, Fu S Y et al. Adaptive optics wavefront correction techniques of vortex beams[J]. Infrared and Laser Engineering, 46, 0201001(2017).

[28] Guo A L, Zhu H D, Tang S W et al. Residual wavefront aberration of high-power laser facility[J]. Acta Optica Sinica, 33, 0814002(2013).

[29] Guo A L, Zhu H D, Yang Z P et al. Deformable mirror control algorithm based on the phase correction at the actuator position[J]. Acta Optica Sinica, 33, 0311001(2013).

[30] Yang H Z, Su H, Zhang Z G. Wavefront correction based on K-L modes by SPGD control algorithm[J]. Chinese Journal of Lasers, 50, 1405001(2023).