Research on the Measurement of M2 Factor Based on Crossed Defocus Gratings

Ma Haotong; Xi Fengjie; Zhou Pu; Wang Xiaolin; Xu Xiaojun; Liu Zejin

[1] Lü Baida. Laser Optics-Beam Characterization, Propagation and Transformation, Resonator Technology and Physics[M]. 3rd ed., Beijing: High Education Press, 2003. 75～77, 111～112

[2] Fang Tao, Ye Xin, Wang Zhimin et al.. Real-time measurement of beam quality factor M2 based on diffraction gratings[J]. Chinese J. Lasers, 2006, 33(5): 650～654

[3] Yu Yongai, Zhang Lingling, Tang Qianjin et al.. Real-time laser beam quality measurement technique[J]. Chinese J. Lasers, 2007, 34(2): 255～258

[4] Yang Huanxiong, Zhao Daomu, Lu Xuanhui et al.. Several viewpoints related to the beam quality factor M2[J]. Chinese J. Lasers, 1997, A24(8): 709～715

[5] Lü Baida, Ji Xiaoling, Luo Shirong et al.. Parametric characterization of laser beams and beam quality[J]. Infrared and Laser Engineering, 2004, 33(1): 14～17

[6] Lu X., Wang Y., Wu M. et al.. The fabrication of a 25×25 multiple beam splitter[J]. Opt. Commun., 1989, 72: 157～162

[7] S. W. Min, B. Javidi, B. Lee. Enhanced three-dimensional integral imaging system by use of double display devices[J]. Appl. Opt., 2003, 42(20): 4186～4195

[8] Paul M. Blanchard, Alan H. Greenaway. Simultaneous multiplane imaging with a distorted diffraction grating[J]. Appl. Opt.,1999, 38(32): 6692～6699

[9] Xi Fengjie, Jiang Zongfu, Xu Xiaojun et al.. High-diffractive-efficiency defocus grating for wavefront curvature sensing[J]. J. Opt. Soc. Am. A, 2007, 24(11): 3444～3448

[10] Robert W. L., Rodolpho C., Andrew J. W. et al.. Compact optical system for pulse-to-pulse laser beam quality measurement and applications in laser machining[J]. Appl. Opt., 2004, 43(26): 5037～5046

[11] Xi Fengjie, Xu Xiaojun, Wang Tiezhi et al.. Wavefront curvature sensor with phase defocus grating[J]. Acta Optica Sinica, 2007, 27(2): 377～378

[12] Wang Xiaobo, Xu Xiaojun, Li Xiao et al.. Revising the formula of thermal focal length in a side-pump laser rod by experiments[J]. Appl. Opt., 2007, 46(22): 5237～5240

[13] Geng Yifeng, Xu Xiaojun, Xi Fengjie. Real-time measurement of beam quality factor M2 based on defocus gratings[J]. Chinese J. Lasers, 2008, 35(s1): 98～100

[14] International Organization for Standardization (ISO) Standard EN ISO 11146: 2005. Lasers and laser-related equipment. Test methods for laser beam widths, divergence angles and beam propagation ratios[S]. ISO, Geneva, Switzerland, 2005

[15] Blanchard P., Fisher D. J., Woods S. C. et al.. Phase diversity wave-front sensing with a distorted diffraction grating[J]. Appl.Opt., 2000, 39(35): 6649～6655