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基于瑞利-索末菲衍射积分理论，利用交叉谱密度函数推导出双半高斯空心光束在湍流大气中传输时的解析表达式，并主要研究了湍流介质折射率结构常数Cn2对空心光束传输特性的影响，得到了双半高斯空心光束在不同条件下传输时的光强分布. 研究表明，Cn2的增大加剧了近场中传输的空心光束的衍射效应，这不仅缩短了空心光束完全演变成为高斯光束时所需的传输距离，而且还增加了此后高斯光束向外扩展的程度.
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关键词:
- 双半高斯空心光束 /
- 瑞利-索末菲衍射积分 /
- 折射率结构常数Cn2
Based on the Rayleigh-Sommerfeld diffraction integral theory, the propagation analytical expression of double-half Gaussian hollow beams in turbulent atmosphere is derived by using the cross spectral density function, and the effects of turbulent medium refractive index structure constant Cn2 on the propagation characteristics of double half a hollow Gaussian beams are studied and the intensity distributions under the different conditions are obtained as well. The research results show that the increased Cn2 can exacerbate the near-field diffraction effects of double-half Gaussian hollow beams, which not only shortens the propagation distance of hollow beams fully evolved into the Gaussian beams, but also increases the extent of the Gaussian beam extend outward.-
Keywords:
- double-half Gaussian hollow beams /
- Rayleigh-Sommerfeld diffraction integral /
- refractive index structure constant Cn2
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[2] Ovchinnikov Y B, Manek I, Grimm R 1997 Phys. Rev. Lett. 79 2225
[3] Song Y, Milam D, Hill W T 1999 Opt. Lett. 24 1805
[4] Cai Y, Lu X, Lin Q 2003 Opt. Lett. 28 1084
[5] Schweiger G, Nett R, Özel B, Weigel T 2010 Opt. Express 18 4510
[6] Kotlyar V V, Kovalev A A, Skidanov R V, Khonina S N, Turunen J 2008 Appl. Opt. 47 6124
[7] Karimi E, Zito G, Piccirillo B, Marrucci L, Santamato E 2007 Opt. Lett. 32 3053
[8] Tovar A A, Casperson L W 1998 J. Opt. Soc. Am. A 15 2425
[9] Topuzoski S, Janicijevic L 2009 Opt. Commun. 282 3426
[10] Phelan C F, O'Dwyer D P, Rakovich Y P, Donegan J F, Lunney J G 2009 Opt. Express 17 12891
[11] Litvin I A, Khilo N A, Forbes A, Belyi V N 2010 Opt. Express 18 4701
[12] Carbajal-Dominguez A, Bernal J, Martin-Ruiz A, Niconoff G M 2010 Opt. Express 18 8400
[13] Jiang Y S, Wang S H, Ou J, Tang H 2013 Acta Phys. Sin. 62 214201 (in Chinese) [江月松, 王帅会, 欧军, 唐华 2013 62 214201]
[14] Cai Y J, He S L 2006 Opt. Express 14 1353
[15] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王涛, 蒲继雄 2007 56 6754]
[16] Mei Z R, Zhao D M 2005 J. Opt. Soc. Am. A 22 1898
[17] Zhou G Q, Cai Y J, Dai C Q 2013 Sci. China: Phys. Mech. Astron. 56 896
[18] Li F, Tang H, Jiang Y S, Ou J 2011 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2011 60 014204]
[19] Dong Y, Zhang X H, Lu Y F 2009 Sci. China: Phys. Mech. Astron. 52 832
[20] Wen J J, Breazeale M M 1988 J. Acoust. Soc. Am. 83 1752
[21] Chen Y, Cai Y J, Eyyuboglu H T, Baykal Y 2008 Appl. Phys. B 90 87
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[1] Kuga T, Torii Y, Shiokawa N, Hirano T, Shimizu Y, Sasada H 1997 Phys. Rev. Lett. 78 4713
[2] Ovchinnikov Y B, Manek I, Grimm R 1997 Phys. Rev. Lett. 79 2225
[3] Song Y, Milam D, Hill W T 1999 Opt. Lett. 24 1805
[4] Cai Y, Lu X, Lin Q 2003 Opt. Lett. 28 1084
[5] Schweiger G, Nett R, Özel B, Weigel T 2010 Opt. Express 18 4510
[6] Kotlyar V V, Kovalev A A, Skidanov R V, Khonina S N, Turunen J 2008 Appl. Opt. 47 6124
[7] Karimi E, Zito G, Piccirillo B, Marrucci L, Santamato E 2007 Opt. Lett. 32 3053
[8] Tovar A A, Casperson L W 1998 J. Opt. Soc. Am. A 15 2425
[9] Topuzoski S, Janicijevic L 2009 Opt. Commun. 282 3426
[10] Phelan C F, O'Dwyer D P, Rakovich Y P, Donegan J F, Lunney J G 2009 Opt. Express 17 12891
[11] Litvin I A, Khilo N A, Forbes A, Belyi V N 2010 Opt. Express 18 4701
[12] Carbajal-Dominguez A, Bernal J, Martin-Ruiz A, Niconoff G M 2010 Opt. Express 18 8400
[13] Jiang Y S, Wang S H, Ou J, Tang H 2013 Acta Phys. Sin. 62 214201 (in Chinese) [江月松, 王帅会, 欧军, 唐华 2013 62 214201]
[14] Cai Y J, He S L 2006 Opt. Express 14 1353
[15] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王涛, 蒲继雄 2007 56 6754]
[16] Mei Z R, Zhao D M 2005 J. Opt. Soc. Am. A 22 1898
[17] Zhou G Q, Cai Y J, Dai C Q 2013 Sci. China: Phys. Mech. Astron. 56 896
[18] Li F, Tang H, Jiang Y S, Ou J 2011 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2011 60 014204]
[19] Dong Y, Zhang X H, Lu Y F 2009 Sci. China: Phys. Mech. Astron. 52 832
[20] Wen J J, Breazeale M M 1988 J. Acoust. Soc. Am. 83 1752
[21] Chen Y, Cai Y J, Eyyuboglu H T, Baykal Y 2008 Appl. Phys. B 90 87
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