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基于广义Huygens-Fresnel原理和非Kolmogorov大气湍流折射率起伏谱密度函数, 采用Wigner分布函数的二阶矩方法, 推导出了在大气湍流中传输的部分相干双曲余弦厄米高斯光束束宽和M2因子的解析表达式. 研究表明: 相对束宽和归一化M2因子随传输距离的增大而增大; 光束阶数越大、相干长度越小、双曲余弦参数越小, 相对束宽和归一化M2因子受大气湍流影响越小; 相对束宽随束腰宽度的增大存在极大值, 在一定的相干长度范围内, 归一化M2因子随束腰宽度的增大存在极小值; 相对束宽和归一化M2因子随广义指数的变化均存在极大值, 随内尺度的增大而逐渐减小, 随外尺度的增大几乎没有变化.
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关键词:
- 部分相干双曲余弦厄米高斯光束 /
- 非Kolmogorov 谱 /
- 大气湍流
Based on the extended Huygens-Fresnel principle and non-Kolmogorov spectrum, the analytical expressions for beam width and M2-factor of partially coherent Hermite-cosh-Gaussian beams going through a non-Kolmogorov turbulence are derived by means of second moments for the Wigner distribution function. Results show that the relative beam width and normalized M2-factor of partially coherent Hermite-cosh-Gaussian beams going through a non-Kolmogorov turbulence will increase when propagating in the turbulent atmosphere, and will be less affected by turbulent atmosphere with a larger beam, smaller coherent length, smaller Ch-part parameter. The relative beam width has a maximum value for increasing waist width, and normalized M2-factor has a minimum value for increasing waist width in a specific extent of coherent length. The relative beam width and normalized M2-factor both have maximum values according to the generalized power law, but decrease with increasing inner scale, and have nearly no change with increasing outer scale.-
Keywords:
- partially coherent Hermite-cosh-Gaussian beams /
- non-Kolmogorov spectrum /
- atmospheric turbulence
[1] Ji X L 2011 Acta Phys. Sin. 60 064207 (in Chinese) [季小玲 2011 60 064207]
[2] Liu F, Li X Q, Zheng Y L, Ji X L 2011 High Power Laser and Particle Beams. 23 0070 (in Chinese) [刘飞, 李晓庆, 郑宇龙, 季小玲 2011 强激光与粒子束 23 0070]
[3] Liu F, Ji X L 2011 Chinese Journal of Lasers. 38 0713001 (in Chinese) [刘飞, 季小玲 2011 中国激光 38 0713001]
[4] Huang Y P, Zhao G P, Duan Z C 2011 Joural of Ningxia University(Natural Science Edition). 32 0026 (in Chinese) [黄永平, 赵光普, 段志春 2011 宁夏大学学报(自然科学版) 32 0026]
[5] Ji X L, Huang T X, Lv B D 2006 Acta Phys. Sin. 55 0978 (in Chinese) [季小玲, 黄太星, 吕百达 2006 55 0978]
[6] Zhang E T, Ji X L, Lv B D 2006 Opto-Electronic Engineering. 33 0028 (in Chinese) [张恩涛, 季小玲, 吕百达 2006 光电工程 33 0028]
[7] Huang Y P, Zeng A P 2012 Acta Photonica Sinica. 41 0818 (in Chinese) [黄永平, 曾安平 2012 光子学报 41 0818]
[8] Wu P, Li B, Chen T L, Lv B D 2005 High Power Laser and Particle Beams. 17 1787 (in Chinese) [吴平, 李波, 陈天禄, 吕百达 2005 强激光与粒子束 17 1787]
[9] Ai Y L, Dan Y Q, Ming D L 2010 Chinese Journal of Lasers 37 2849 (in Chinese) [艾扬利, 但有权, 明德烈 2010 中国激光 37 2849]
[10] Wu G H, Zhao T G, Ren J H, Zhang J Y, Zhang X L, Li W H 2011 Optics & Laser Technology. 43 1225
[11] Lu L, Ji X L, Deng J P, Ma Y 2014 Acta Phys. Sin. 63 014207 (in Chinese) [陆璐, 季小玲, 邓金平, 马媛 2014 63 014207]
[12] Yuan Y S, Cai Y J, Qu J, Halil T 2010 Optics & Laser Technology. 42 1344
[13] Cang J, Fang X, Liu X 2013 Optics & Laser Technology. 50 65
[14] Yang A L, Zhang E T, Ji X L, Lv B D 2009 Optics & Laser Technology. 41 714
[15] Greg G, Emil W 2002 J.Opt.Soc.A. 19 1592
[16] Lu L, Ji X L, Deng J P, Li X Q 2014 Chin. Phys. B 23 064209
[17] Chu X X 2011 Chin. Phys. B 20 014207
[18] Qian X M, Zhu W Y, Wang A T, Gu C, Rao R Z 2010 Chin. Phys. Lett. 27 044214
[19] Chen B S, Pu J X 2009 Chin. Phys. B 18 103307
[20] Zhang E T, Ji X L, Lv, B D 2009 Chin. Phys. B 18 057110
[21] Chu X X, Liu Z J, Wu Y 2008 Chin. Phys. Lett. 25 485
[22] Ma J, Gao C, Tan L Y 2007 Chin. Phys. Soc. 16 1327
[23] Lv S Y, Ji X L, Lv, B D 2007 Chin. Phys. Lett. 24 2855
[24] Casperson W L, Hall D G 1997 J.Opt.Soc.Am.A 14 3341
[25] Casperson W L, Tovar A A 1998 J.Opt.Soc.Am.A 15 954
[26] Tovar A A, Casperson W L 1998 J.Opt.Soc.Am.A 15 2425
[27] Dan Y Q, Zhang B 2009 Opt.Lett 34 563
[28] Xue B D, Cui L Y, Xue W F, Bai X Z, Zhou F G 2011 J.Opt.Soc.Am.A 28 912
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[1] Ji X L 2011 Acta Phys. Sin. 60 064207 (in Chinese) [季小玲 2011 60 064207]
[2] Liu F, Li X Q, Zheng Y L, Ji X L 2011 High Power Laser and Particle Beams. 23 0070 (in Chinese) [刘飞, 李晓庆, 郑宇龙, 季小玲 2011 强激光与粒子束 23 0070]
[3] Liu F, Ji X L 2011 Chinese Journal of Lasers. 38 0713001 (in Chinese) [刘飞, 季小玲 2011 中国激光 38 0713001]
[4] Huang Y P, Zhao G P, Duan Z C 2011 Joural of Ningxia University(Natural Science Edition). 32 0026 (in Chinese) [黄永平, 赵光普, 段志春 2011 宁夏大学学报(自然科学版) 32 0026]
[5] Ji X L, Huang T X, Lv B D 2006 Acta Phys. Sin. 55 0978 (in Chinese) [季小玲, 黄太星, 吕百达 2006 55 0978]
[6] Zhang E T, Ji X L, Lv B D 2006 Opto-Electronic Engineering. 33 0028 (in Chinese) [张恩涛, 季小玲, 吕百达 2006 光电工程 33 0028]
[7] Huang Y P, Zeng A P 2012 Acta Photonica Sinica. 41 0818 (in Chinese) [黄永平, 曾安平 2012 光子学报 41 0818]
[8] Wu P, Li B, Chen T L, Lv B D 2005 High Power Laser and Particle Beams. 17 1787 (in Chinese) [吴平, 李波, 陈天禄, 吕百达 2005 强激光与粒子束 17 1787]
[9] Ai Y L, Dan Y Q, Ming D L 2010 Chinese Journal of Lasers 37 2849 (in Chinese) [艾扬利, 但有权, 明德烈 2010 中国激光 37 2849]
[10] Wu G H, Zhao T G, Ren J H, Zhang J Y, Zhang X L, Li W H 2011 Optics & Laser Technology. 43 1225
[11] Lu L, Ji X L, Deng J P, Ma Y 2014 Acta Phys. Sin. 63 014207 (in Chinese) [陆璐, 季小玲, 邓金平, 马媛 2014 63 014207]
[12] Yuan Y S, Cai Y J, Qu J, Halil T 2010 Optics & Laser Technology. 42 1344
[13] Cang J, Fang X, Liu X 2013 Optics & Laser Technology. 50 65
[14] Yang A L, Zhang E T, Ji X L, Lv B D 2009 Optics & Laser Technology. 41 714
[15] Greg G, Emil W 2002 J.Opt.Soc.A. 19 1592
[16] Lu L, Ji X L, Deng J P, Li X Q 2014 Chin. Phys. B 23 064209
[17] Chu X X 2011 Chin. Phys. B 20 014207
[18] Qian X M, Zhu W Y, Wang A T, Gu C, Rao R Z 2010 Chin. Phys. Lett. 27 044214
[19] Chen B S, Pu J X 2009 Chin. Phys. B 18 103307
[20] Zhang E T, Ji X L, Lv, B D 2009 Chin. Phys. B 18 057110
[21] Chu X X, Liu Z J, Wu Y 2008 Chin. Phys. Lett. 25 485
[22] Ma J, Gao C, Tan L Y 2007 Chin. Phys. Soc. 16 1327
[23] Lv S Y, Ji X L, Lv, B D 2007 Chin. Phys. Lett. 24 2855
[24] Casperson W L, Hall D G 1997 J.Opt.Soc.Am.A 14 3341
[25] Casperson W L, Tovar A A 1998 J.Opt.Soc.Am.A 15 954
[26] Tovar A A, Casperson W L 1998 J.Opt.Soc.Am.A 15 2425
[27] Dan Y Q, Zhang B 2009 Opt.Lett 34 563
[28] Xue B D, Cui L Y, Xue W F, Bai X Z, Zhou F G 2011 J.Opt.Soc.Am.A 28 912
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