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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.
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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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