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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.
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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 物理学报 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 物理学报 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]
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[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 物理学报 63 014207]
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[13] Cang J, Fang X, Liu X 2013 Optics & Laser Technology. 50 65
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[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
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[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
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[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 物理学报 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 物理学报 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 物理学报 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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