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Based on the extended Huygens-Fresnel principle and theory for the turbulence, the analytical expression for the beam propagation factor (M2-factor) of partially coherent beams propagating in a turbulent atmosphere has been derived. The effects of the structure constant of the refractive index fluctuations C2n and the inner scale of the turbulence l0on the M 2 factor have been analyzed quantitatively. Consequently, a new method for determining the characteristic parameters of the turbulence based on the measurement of the M 2 factor by experiments has been proposed. The results show that the laser beams with better spatial coherence property are more sensitive to the effects of turbulence, so the fundamental Gaussian beams with fully coherence can be used as the source in the measurement, and the usual instruments for measuring the M 2-factor can be adopted as the experiment equipments. It is very simple and convenient to determine the characteristic parameters of the turbulence by applying the method proposed in this paper.
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Keywords:
- beam propagation factor (M2-factor) /
- characteristic parameters of turbulence /
- structure constant of refractive index fluctuations /
- inner scale of turbulence
[1] Consortini A, Sun Yi Yi, Innocenti C, Li Z 2003 Opt. Commun. 216 19
[2] Ji X L 2008 J. Mod. Opt. 55 2105
[3] Cai Y, Eyyubo lu H T, Baykal Y, Opt. Commun. 2008 281 5291
[4] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王 涛、 蒲继雄 2007 56 6754]
[5] Zheng W W, Wang LQ, Xu J P, Wang L G 2009 Acta Phys. Sin. 58 5098 (in Chinese) [郑巍巍、 王丽琴、 许静平、 王立刚 2009 58 5098]
[6] Hill R J 1988 Appl Opt. 27 2187
[7] Li W, Feng G Y, Huang Y, Li G, Yang H M, Xie X D, Chen J G, Zhou S H 2009 Acta Phys. Sin. 58 2461 (in Chinese) [李 玮、 冯国英、 黄 宇、 李 刚、 杨火木、 谢旭东、 陈建国、 周寿桓 2009 58 2461]
[8] Luo S R, Lü B D, Sun N C 2004 Acta Phys. Sin. 53 2145 (in Chinese) [罗时荣、 吕百达、 孙年春 2004 53 2145]
[9] Ruff J A, Siegman A E 1994 Optical and Quantum Electronics 26 629
[10] Wu J 1990 J. Mod. Opt. 37 671
[11] Dan Y Q, Zhang B, Pan P P 2008 J. Opt. Soc. Am. A 25 2223
[12] Ishimaru A 1978 Wave Propagation and Scattering in Random Media (New York: Academic Press)
[13] Li J H, Yang A L, Lü B D 2009 Acta Phys. Sin. 58 674(in Chinese) [李晋红、 杨爱林、 吕百达 2009 58 674]
[14] Cai Y, Lin Q, Baykal Y, Eyyubo lu H T 2007 Opt. Commun. 278 157
[15] Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[16] Siegman A E 1998 OSA TOPS 17 1
[17] Xiaofeng Li 2007 The Principle and Technology of the Satellite-to-ground Laser Communication Links (National defense industry Press, Beijing) p130—132 (in Chinese)[李晓峰 2007 星地激光通信链路原理与技术 (北京: 国防工业出版社) 第130—132页)]
[18] Zhu W Y, Zhao Z L, Ma X S, Rao R Z 2005 High Power Laser and Particle Beams 17 1461 (in Chinese) [朱文越、 赵柱灵、 马晓珊、 饶瑞中 2005 强激光与粒子束 17 1461]
[19] Ma X S, Zhu W Y, Rao R Z 2008 Chinese Journal of Lasers 35 898 (in Chinese)[马晓珊、 朱文越、 饶瑞中 2008 中国激光 35 898]
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[1] Consortini A, Sun Yi Yi, Innocenti C, Li Z 2003 Opt. Commun. 216 19
[2] Ji X L 2008 J. Mod. Opt. 55 2105
[3] Cai Y, Eyyubo lu H T, Baykal Y, Opt. Commun. 2008 281 5291
[4] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王 涛、 蒲继雄 2007 56 6754]
[5] Zheng W W, Wang LQ, Xu J P, Wang L G 2009 Acta Phys. Sin. 58 5098 (in Chinese) [郑巍巍、 王丽琴、 许静平、 王立刚 2009 58 5098]
[6] Hill R J 1988 Appl Opt. 27 2187
[7] Li W, Feng G Y, Huang Y, Li G, Yang H M, Xie X D, Chen J G, Zhou S H 2009 Acta Phys. Sin. 58 2461 (in Chinese) [李 玮、 冯国英、 黄 宇、 李 刚、 杨火木、 谢旭东、 陈建国、 周寿桓 2009 58 2461]
[8] Luo S R, Lü B D, Sun N C 2004 Acta Phys. Sin. 53 2145 (in Chinese) [罗时荣、 吕百达、 孙年春 2004 53 2145]
[9] Ruff J A, Siegman A E 1994 Optical and Quantum Electronics 26 629
[10] Wu J 1990 J. Mod. Opt. 37 671
[11] Dan Y Q, Zhang B, Pan P P 2008 J. Opt. Soc. Am. A 25 2223
[12] Ishimaru A 1978 Wave Propagation and Scattering in Random Media (New York: Academic Press)
[13] Li J H, Yang A L, Lü B D 2009 Acta Phys. Sin. 58 674(in Chinese) [李晋红、 杨爱林、 吕百达 2009 58 674]
[14] Cai Y, Lin Q, Baykal Y, Eyyubo lu H T 2007 Opt. Commun. 278 157
[15] Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[16] Siegman A E 1998 OSA TOPS 17 1
[17] Xiaofeng Li 2007 The Principle and Technology of the Satellite-to-ground Laser Communication Links (National defense industry Press, Beijing) p130—132 (in Chinese)[李晓峰 2007 星地激光通信链路原理与技术 (北京: 国防工业出版社) 第130—132页)]
[18] Zhu W Y, Zhao Z L, Ma X S, Rao R Z 2005 High Power Laser and Particle Beams 17 1461 (in Chinese) [朱文越、 赵柱灵、 马晓珊、 饶瑞中 2005 强激光与粒子束 17 1461]
[19] Ma X S, Zhu W Y, Rao R Z 2008 Chinese Journal of Lasers 35 898 (in Chinese)[马晓珊、 朱文越、 饶瑞中 2008 中国激光 35 898]
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