[1] Huang T R, Huang W F, Wang J F, et al. Thermal-induced wavefront aberration in sapphire-cooled Nd: glass slab[J]. Applied Physics B, 2016, 122(7): 1-9.

[2] Sikocinski P, Novak O, Smrz M, et al. Time-resolved measurement of thermally induced aberrations in a cryogenically cooled Yb∶YAG slab with a wavefront sensor[J]. Applied Physics B, 2016, 122(4): 1-10.

[3] 徐娇, 陈俊明, 陈鹏, 等. 960线光谱合束光栅的热畸变分析[J]. 光学学报, 2018, 38(5): 0505002.

    Xu J, Chen J M, Chen P, et al. Thermal distortion of 960-line spectral beam combining grating[J]. Acta Optica Sinica, 2018, 38(5): 0505002.

[4] Ramette J, Kasprzack M, Brooks A, et al. Analytical model for ring heater thermal compensation in the advanced laser interferometer gravitational-wave observatory[J]. Applied Optics, 2016, 55(10): 2619-2625.

[5] Peñano J, Sprangle P, Ting A, et al. Optical quality of high-power laser beams in lenses[J]. Journal of the Optical Society of America B, 2009, 26(3): 503-510.

[6] Sun Y, Li F, Yang W Q, et al. Thermal effects of optical antenna under the irradiation of laser[J]. Proceedings of SPIE, 2017, 10463: 104631F.

[7] 盛朝霞, 王再军. 强激光输出窗口热行为对光束质量的影响[J]. 激光技术, 2008, 32(3): 278-280.

    Sheng Z X, Wang Z J. Influence of thermal deformation of high-power laser output windows on beam quality[J]. Laser Technology, 2008, 32(3): 278-280.

[8] 孙峰, 程祖海, 张耀宁, 等. 在波长1.315 μm下的几种激光器窗口热效应比较研究,中国激光, 2004, 31( 4): 412- 416. http://www.opticsjournal.net/Articles/Abstract?aid=6398由傅里叶瞬态导热方程和弹性体应力-应变平衡方程入手,利用分离变量法和热弹性势法建立了晶体窗口在高能激光束照射下的瞬态温度分布、热变形和热应变分布关系式。并同时考虑温度折射率系数、厚度热变形和弹光系统的作用,得到了波长为1.315 μm的平面波光束透射氟化钙、氯化钾和熔石英这三种晶体窗口时产生的近场光束相位畸变分布。通过比较发现,窗口光束畸变是热变形、热透镜效应和弹光效应共同作用的结果,热透镜效应占主要因素,弹光效应可以忽略;熔石英具有正的折射率温度系数而产生正光束畸变,氯化钾和氟化钙为负的光束畸变,氟化钙具有最小的相位畸变峰谷值,优于其他二者,适于作为1.315 μm波长的窗口材料使用,氯化钾的光束畸变最严重。

    Sun F, Chen Z H, Zhang Y N, et al. Thermal distortions in calcium fluoride, potassium chloride and fused silica windows at 1.315 μm[J]. Chinese Journal Lasers, 2004, 31(4): 412-416.

[9] An J Z, Li Y K, Du X W. Thermal effects of a laser beam tube consisting of a window and nonflowing gas[J]. Optics Letters, 2004, 29(24): 2899-2901.

[10] 安建祝, 李有宽, 杜祥琬. 激光窗口热透镜效应对光束质量的影响[J]. 强激光与粒子束, 2004, 16(4): 429-433.

    An J Z, Li Y K, Du X W. Influence of laser window's thermal lensing effect on beam quality[J]. High Power Laser and Particle Beams, 2004, 16(4): 429-433.

[11] 刘文广, 饶鹏, 华卫红. 非均匀激光辐照下硅镜热变形对光束传输特性的影响[J]. 强激光与粒子束, 2008, 20(10): 1615-1619.

    Liu W G, Rao P, Hua W H. Effects of thermal distortion of Si mirror irradiated by non-uniformity laser intensity on laser propagation[J]. High Power Laser and Particle Beams, 2008, 20(10): 1615-1619.

[12] Guo R H, Chen N, Zhuang X Y, et al. Simulations of far-field optical beam quality influenced by the thermal distortion of the secondary mirror for high-power laser system[J]. Proceedings of SPIE, 2015, 9255: 92553G.

[13] Mao Y J, Li S K, Sun G, et al. The thermal aberration analysis of a lithography projection lens[J]. Proceedings of SPIE, 2017, 10147: 101471P.

[14] 周琼, 姜宗福, 习锋杰. 内光路系统的缩放模型及其热变形像差的波前预补偿[J]. 中国激光, 2012, 39(4): 0402008.

    Zhou Q, Jiang Z F, Xi F J. Designing of scaling model and study of thermal deformation compensation for inner optical system[J]. Chinese Journal of Lasers, 2012, 39(4): 0402008.

[15] 周琼, 姜宗福, 习锋杰. 光学系统中白宝石分光镜的热变形像差分析[J]. 中国激光, 2012, 39(10): 1002001.

    Zhou Q, Jiang Z F, Xi F J. Study of thermal deformations induced optical aberrations for Al2O3 mirror in an optical system[J]. Chinese Journal of Lasers, 2012, 39(10): 1002001.

[16] 谢晓钢, 张建柱, 岳玉芳, 等. 激光系统组件化仿真软件EasyLaser[J]. 强激光与粒子束, 2013, 25(10): 2536-2540.

    Xie X G, Zhang J Z, Yue Y F, et al. EasyLaser: component-based laser system simulation software[J]. High Power Laser and Particle Beams, 2013, 25(10): 2536-2540.

[17] 严宗达, 王洪礼. 热应力[M]. 北京: 高等教育出版社, 1993: 100.

    Yan ZD, Wang HL. Heat stress[M]. Beijing: Higher Education Press, 1993: 100.