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An analysis of the propagation of Laguerre-Gaussian beam in fluctuation turbulent atmosphere is performed. Under the Rytov approximation, the integral expression of the spiral spectrum of the beam at the receiver aperture is obtained. It is found that the atmospheric turbulence will induce the spread of the spiral spectrum. With increasing topological charge, propagation distance, refractive index structure constant and radius of receiver aperture, the spectrum spread becomes more serious. It is also shown that the dimensionless variance describing the degree of the spread is a quadratic function of the refractive index structure constant and the radius of receiver aperture respectively, while it is an 11th order function of the topological charge and a 6th order function of the propagation distance. The analytical expression of the spiral spectrum is derived by taking account of the simulation results that both radial index and waist radius have little effect on the spiral spectrum.
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Keywords:
- Laguerre-Gaussian beam /
- atmospheric turbulence /
- spiral spectrum /
- dimensionless variance
[1] Allen L, Beijersbergen M W, Spreeuw R J, Woerdman J P 1992 Phys. Rev. A 45 8185
[2] Sueda K, Miyaji G, Miyanaga N, Nakatsuka M 2004 Opt. Exp. 12 3548
[3] Hasegawa T, Shimizu T 1999 Opt. Commun. 160 103
[4] Liu Y D, Gao C Q, Gao M W 2008 Chin. Phys. B 17 1769
[5] Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B: Lasers & Opt. 72 167
[6] Torner L, Torres J, Carrasco S 2005 Opt. Exp. 13 873
[7] Simpson N, Dholakia K, Allen L, Padgett M 1997 Opt. Lett. 22 52
[8] O'Neil A, Padgett M 2001 Opt. Commun. 193 45
[9] Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313
[10] Bouchal Z, Celechovsky R 2004 New J.Phys. 6 131
[11] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Exp. 12 5448
[12] Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202(in Chinese)[黎 芳、江月松、唐 华、王海洋 2009 58 6202]
[13] Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302(in Chinese)[吕 宏、柯熙政 2009 58 8302]
[14] Molina-Terriza G, Torres J, Torner L 2001 Phys. Rev. Lett. 88 13601
[15] Wang F, Cai Y, Korotkova O 2009 Opt. Exp. 17 22366
[16] Maleev I D, Swartzlander J G A 2003 J. Opt. Soc. Am. B 20 1169
[17] Orlov S, Regelskis K, Smilgevi ius V, Stabinis A 2002 Opt. Commun. 209 155
[18] Alieva T, Bastiaans M J 2004 Proceedings of SPIE, Bellingham,2004,1138
[19] Gonzalez N, Molina-Terriza G, Torres J P 2006 Opt. Exp. 14 9093
[20] Cai Y, He S 2006 Appl. Phys. B: Lasers & Opt. 84 493
[21] Singh R P, Roychowdhury S, Jaiswal V K 2006 J. Mod. Opt. 53 1803
[22] Seshadri S R 2002 Opt. Lett. 27 1872
[23] Simon R, Agarwal G S 2000 Opt. Lett. 25 1313
[24] Paterson C 2005 Phys. Rev. Lett. 94 153901
[25] Anguita J, Neifeld M, Vasic B 2008 Appl. Opt. 47 2414
[26] Rao R Z 2009 Chin. Phys. B 18 581
[27] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[28] Zhu K C, Zhou G Q, Li X G, Zheng X J, Tang H Q 2008 Opt. Exp. 16 21315
[29] Chen B S, Chen Z Y, Pu J X 2008 Opt. & Laser Tech. 40 820
[30] Wang T, Pu J X, Chen Z Y 2008 Opt. Eng. 47 036002
[31] Li F, Gao C Q, Liu Y D, Gao M W 2008 Acta Phys. Sin. 57 860(in Chinese)[李 丰、高春清、刘义东、高明伟 2008 57 860]
[32] Zhang Y X, Tang M X, Tao C K 2005 Chin. Opt. Lett. 3 559
[33] Cai Y. 2006 J. Opt. A: Pure Appl. Opt. 8 537
[34] Gradshteyn I S, Ryzhik I M 2007 Table Of Integrals, Series And Products 7Ed (Salt Lake City: Academic Press) P933,P340
[35] Zambrini R, Barnett S M 2006 Phys. Rev. Lett. 96 113901
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[1] Allen L, Beijersbergen M W, Spreeuw R J, Woerdman J P 1992 Phys. Rev. A 45 8185
[2] Sueda K, Miyaji G, Miyanaga N, Nakatsuka M 2004 Opt. Exp. 12 3548
[3] Hasegawa T, Shimizu T 1999 Opt. Commun. 160 103
[4] Liu Y D, Gao C Q, Gao M W 2008 Chin. Phys. B 17 1769
[5] Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B: Lasers & Opt. 72 167
[6] Torner L, Torres J, Carrasco S 2005 Opt. Exp. 13 873
[7] Simpson N, Dholakia K, Allen L, Padgett M 1997 Opt. Lett. 22 52
[8] O'Neil A, Padgett M 2001 Opt. Commun. 193 45
[9] Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313
[10] Bouchal Z, Celechovsky R 2004 New J.Phys. 6 131
[11] Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Exp. 12 5448
[12] Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202(in Chinese)[黎 芳、江月松、唐 华、王海洋 2009 58 6202]
[13] Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302(in Chinese)[吕 宏、柯熙政 2009 58 8302]
[14] Molina-Terriza G, Torres J, Torner L 2001 Phys. Rev. Lett. 88 13601
[15] Wang F, Cai Y, Korotkova O 2009 Opt. Exp. 17 22366
[16] Maleev I D, Swartzlander J G A 2003 J. Opt. Soc. Am. B 20 1169
[17] Orlov S, Regelskis K, Smilgevi ius V, Stabinis A 2002 Opt. Commun. 209 155
[18] Alieva T, Bastiaans M J 2004 Proceedings of SPIE, Bellingham,2004,1138
[19] Gonzalez N, Molina-Terriza G, Torres J P 2006 Opt. Exp. 14 9093
[20] Cai Y, He S 2006 Appl. Phys. B: Lasers & Opt. 84 493
[21] Singh R P, Roychowdhury S, Jaiswal V K 2006 J. Mod. Opt. 53 1803
[22] Seshadri S R 2002 Opt. Lett. 27 1872
[23] Simon R, Agarwal G S 2000 Opt. Lett. 25 1313
[24] Paterson C 2005 Phys. Rev. Lett. 94 153901
[25] Anguita J, Neifeld M, Vasic B 2008 Appl. Opt. 47 2414
[26] Rao R Z 2009 Chin. Phys. B 18 581
[27] Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225
[28] Zhu K C, Zhou G Q, Li X G, Zheng X J, Tang H Q 2008 Opt. Exp. 16 21315
[29] Chen B S, Chen Z Y, Pu J X 2008 Opt. & Laser Tech. 40 820
[30] Wang T, Pu J X, Chen Z Y 2008 Opt. Eng. 47 036002
[31] Li F, Gao C Q, Liu Y D, Gao M W 2008 Acta Phys. Sin. 57 860(in Chinese)[李 丰、高春清、刘义东、高明伟 2008 57 860]
[32] Zhang Y X, Tang M X, Tao C K 2005 Chin. Opt. Lett. 3 559
[33] Cai Y. 2006 J. Opt. A: Pure Appl. Opt. 8 537
[34] Gradshteyn I S, Ryzhik I M 2007 Table Of Integrals, Series And Products 7Ed (Salt Lake City: Academic Press) P933,P340
[35] Zambrini R, Barnett S M 2006 Phys. Rev. Lett. 96 113901
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