[1] PENG Y F,CHENG Z H. Finite element analyses of thermal distortions of mirror substrates for high power lasers［J］.High Power laser and Particle Beams. 2005，17(1)：5-8.(in Chinese)

[2] PENG Y F,CHENG Z H, ZHANG Y H,et al.. Laser-induced temperature distributions and thermal deformations in sapphire, silicon, and calcium fluoride substrates at 1.315 μm［J］. Optical Engineering,2001,40(12):2822-2829.

[3] YU W F,CHENG Z H,SUN F, et al.. Investigation of the multilayer water-cooling Si mirror used in high power laser［J］. Chinese Journal of Lasers, 2004,31(z1):489-491. (in Chinese)

[4] PENG Y F,LIANG ZH ZH, ZHANG Y,et al.. Influences of temperature rise of high-power laser cavity-mirrors on resonator parameters and far-field intensity［J］. High Power laser and Particle Beams, 2007,19(9)：1421-1424. (in Chinese)

[5] 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)：1615-1617. (in Chinese)

[6] ZHOU C M, CHENG Z H. Influence of thermal deformations of high power laser mirror on beam transfer characteristic［J］. High Power laser and Particle Beams, 2003,15(10)：969-972. (in Chinese)

[7] LI J,CHEN H Q,YU H B. Study of deformable mirror for compensating the thermally induced aberration of laser diode-pumped solid-state laser［J］. Acta Optica Sinca, 2006，26(8)：1198-1202.(in Chinese)

[8] LU L Q,YUAN X, Intracavity aberration compensation of laser mode using membrane deformable mirror［J］.High Power Laser and Particle Beam, 2007，19(5)：718-722. (in Chinese)

[9] HU F R,YAO J, Microelectromechanical systems deformable mirror actuator based on electrostatic repulsive force［J］. High Power Laser and Particle Beam, 2010，22(1)：41-44.(in Chinese)

[10] SCHWARZ J, RAMSEY M, HEADLEY D, et al.. Thermal lens compensation by convex deformation of a flat mirror with variable annular force［J］. Applied Physics B,2006(82):275-281.

[11] WARREN Y C, RICHARD B G. Roark’s Formulas for Stress and Strain［M］.7th Eition. New York, 2002.