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涡旋波束在大气湍流中的传输有非常重要的理论研究和实际应用意义. 本文基于利托夫近似和广义惠更斯-菲涅耳原理, 推导出拉盖尔-高斯(LG)光束在非Kolmogorov湍流中斜程传输时的螺旋谱, 并进一步推导出系统的容量. 对基于LG光束的通信系统容量进行了数值计算, 并对指数参数、光束波长、天顶角、湍流内尺度、外尺度、结构常数对系统容量的影响进行了分析比较. 本文的结论能够为LG光束在非Kolmogorov湍流中的通信提供一定的参考价值.
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关键词:
- 拉盖尔-高斯光束 /
- 非Kolmogorov湍流 /
- 平均容量
The propagation of vortex beam in atmospheric turbulence is of great importance in theoretical study and practical applications. Based on the Rytov approximation and extended Huygens-Fresnel integral, the analytical expressions for the spiral spectrum of the Laguerre-Gaussian (LG) beam propagating in a slant non-Kolmogorov turbulence channel have been derived and the average capacity of free space optical system is given. The average capaticy of free space optical system is examined and the effects of exponent parameter, wavelength, zenith angle, inner scale, outer scale, and structure constant on average capacity are also analyzed. Results obtained in this paper may be benefical to optical communication.-
Keywords:
- Laguerre-Gaussian beam /
- non-Kolmogorov turbulence /
- average capacity
[1] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Express 12 5448
[2] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[3] Paterson C 2005 Phys. Rev. Lett. 94 153901
[4] Molina-Terriza G, Torres J P, Torner L 2001 Phys. Rev. Lett. 88 013601
[5] He H, Friese M E J, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826
[6] Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52
[7] Bouchal Z, Celechovský R 2004 New J. Phys. 6 131
[8] Tyler G A, Boyd R W 2009 Opt. Lett. 34 142
[9] Roux F S 2011 Phys. Rev. A 83 053822
[10] Li F, Tang H, Jiang Y S, Ou J 2012 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2012 物理学报 60 014204]
[11] Anguita J A, Neifeld M A, Vasic B V 2008 Appl. Opt. 47 2414
[12] Toselli I, Andrews L C, Phillips R L, Ferrero V 2008 Opt. Eng. 47 026003
[13] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[14] Torner L, Torres J P, Carrasco S 2005 Opt. Express 13 873
[15] Zhang Y, Wang Y, Xu J, Wang J, Jia J 2011 Opt. Commun. 284 1132
[16] Xu H, Cui Z, Qu J 2011 Opt. Express 19 21163
[17] Xue-Mei H, Bai-Da L 2011 Chin. Phys. B 20 094210
[18] Yi-Xin Z, Ji C 2009 Chin. Phys. Lett. 26 074220
[19] Wu G, Guo H, Yu S, Luo B 2010 Opt. Lett. 35 715
[20] Huang Y P, Zhao G P, Xiao X, Wang F H 2012 Acta Phys. Sin. 61 144202 (in Chinese) [黄永平, 赵光普, 肖希, 王藩侯 2012 物理学报 61 144202]
[21] Grashteyn I S, Ryzhik I M 2007 Table of Integrals, Series And Pro ducts 7Edn. (Salt Lake City: Academic Press) p933, p340
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[1] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Express 12 5448
[2] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[3] Paterson C 2005 Phys. Rev. Lett. 94 153901
[4] Molina-Terriza G, Torres J P, Torner L 2001 Phys. Rev. Lett. 88 013601
[5] He H, Friese M E J, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826
[6] Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52
[7] Bouchal Z, Celechovský R 2004 New J. Phys. 6 131
[8] Tyler G A, Boyd R W 2009 Opt. Lett. 34 142
[9] Roux F S 2011 Phys. Rev. A 83 053822
[10] Li F, Tang H, Jiang Y S, Ou J 2012 Acta Phys. Sin. 60 014204 (in Chinese) [黎芳, 唐华, 江月松, 欧军 2012 物理学报 60 014204]
[11] Anguita J A, Neifeld M A, Vasic B V 2008 Appl. Opt. 47 2414
[12] Toselli I, Andrews L C, Phillips R L, Ferrero V 2008 Opt. Eng. 47 026003
[13] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[14] Torner L, Torres J P, Carrasco S 2005 Opt. Express 13 873
[15] Zhang Y, Wang Y, Xu J, Wang J, Jia J 2011 Opt. Commun. 284 1132
[16] Xu H, Cui Z, Qu J 2011 Opt. Express 19 21163
[17] Xue-Mei H, Bai-Da L 2011 Chin. Phys. B 20 094210
[18] Yi-Xin Z, Ji C 2009 Chin. Phys. Lett. 26 074220
[19] Wu G, Guo H, Yu S, Luo B 2010 Opt. Lett. 35 715
[20] Huang Y P, Zhao G P, Xiao X, Wang F H 2012 Acta Phys. Sin. 61 144202 (in Chinese) [黄永平, 赵光普, 肖希, 王藩侯 2012 物理学报 61 144202]
[21] Grashteyn I S, Ryzhik I M 2007 Table of Integrals, Series And Pro ducts 7Edn. (Salt Lake City: Academic Press) p933, p340
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