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The analytical expressions for the Rayleigh range of partially coherent cosh-Gaussian beams both in free space and in atmospheric turbulence are derived. The influence of turbulence on the Rayleigh range of partially coherent cosh-Gaussian beams is studied. It is shown that the Rayleigh range of partially coherent cosh-Gaussian beams depends on the strength of turbulence and the beam parameters. The Rayleigh range decreases due to turbulence. The stronger the turbulence, the shorter the Rayleigh range is. In free space, the Rayleigh range increases with the increase of beam coherence parameter α , beam parameter β and Gaussian waist width w 0, and the decrease of wave length λ. However, the Rayleigh range is less sensitive to turbulence with α , β and w 0 decreasing and λ increasing. Furthermore, the influence of turbulence can be ignored when α , β and w 0 are small enough and λ is large enough.
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Keywords:
- Rayleigh range /
- partially coherent cosh-Gaussian beam /
- atmospheric turbulence /
- free space
[1] Siegman A E 1986 Lasers (Mill Valley, CA: University Science Books)
[2] Gbur G, Wolf E 2001 Opt. Commun. 199 295
[3] Ji X L 2009 Chin. Phys. Lett. 26 1242010
[4] Li X Q, Ji X L, Yang F 2010 Opt. Laser Technol. 42 604
[5] Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media (2nd Ed.) (Bellingham, Washington:SPIE Press)
[6] Shirai T, Dogariu A, Wolf E 2003 J. Opt. Soc. Am. A 20 1094
[7] Salem M, Korotkova O, Dogariu A, Wolf E 2004 Waves Random Media 14 513
[8] Cai Y J, He S 2006 Appl. Phys. Lett. 89 041117
[9] Lu W, Liu L, Sun J, Yang Q, Zhu Y 2007 Opt. Commun. 271 1
[10] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王 涛、蒲继雄 2007 56 6754]
[11] Korotkova O, Wolf E 2007 Opt. Lett. 32 2137
[12] Dan Y, Zhang B 2009 Opt. Lett. 34 563
[13] Mao H, Zhao D M 2010 Opt. Express 18 1741
[14] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[15] Zhou P, Liu Z J, Xu X J and Chu X X 2010 Chin. Phys. B 19 024205
[16] Chen X W, Tang M Y, Ji X L 2008 Acta Phys. Sin. 57 2607 (in Chinese) [陈晓文、汤明玥、 季小玲 2008 57 2607]
[17] Chen X W, Ji X L 2009 Acta Phys. Sin. 58 2435 (in Chinese) [陈晓文、季小玲 2009 58 2435]
[18] Zheng W W, Wang L Q, Xu J P, Wang L G 2009 Acta Phys. Sin. 58 5098 (in Chinese) [郑巍巍、王丽琴、许静平、王立刚 2009 58 5098]
[19] Chen X W, Ji X L 2010 Chin. Phys. B 19 024203
[20] Ji X L, Eyyuboglu H T, Baykal Y 2010 Opt. Express 18 6922
[21] Casperson L W, Hall D G, Tovar A A 1998 J. Opt. Soc. Am. A 15 954
[22] Zahid M, Zubairy M S 1989 Opt. Commun. 70 361
[23] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge Uinversity Press)
[24] Siegman A E 1990 Proc. SPIE 1224 2
[25] Ji X L, Li X Q 2010 J. Opt. 12 035403
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[1] Siegman A E 1986 Lasers (Mill Valley, CA: University Science Books)
[2] Gbur G, Wolf E 2001 Opt. Commun. 199 295
[3] Ji X L 2009 Chin. Phys. Lett. 26 1242010
[4] Li X Q, Ji X L, Yang F 2010 Opt. Laser Technol. 42 604
[5] Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media (2nd Ed.) (Bellingham, Washington:SPIE Press)
[6] Shirai T, Dogariu A, Wolf E 2003 J. Opt. Soc. Am. A 20 1094
[7] Salem M, Korotkova O, Dogariu A, Wolf E 2004 Waves Random Media 14 513
[8] Cai Y J, He S 2006 Appl. Phys. Lett. 89 041117
[9] Lu W, Liu L, Sun J, Yang Q, Zhu Y 2007 Opt. Commun. 271 1
[10] Wang T, Pu J X 2007 Acta Phys. Sin. 56 6754 (in Chinese) [王 涛、蒲继雄 2007 56 6754]
[11] Korotkova O, Wolf E 2007 Opt. Lett. 32 2137
[12] Dan Y, Zhang B 2009 Opt. Lett. 34 563
[13] Mao H, Zhao D M 2010 Opt. Express 18 1741
[14] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[15] Zhou P, Liu Z J, Xu X J and Chu X X 2010 Chin. Phys. B 19 024205
[16] Chen X W, Tang M Y, Ji X L 2008 Acta Phys. Sin. 57 2607 (in Chinese) [陈晓文、汤明玥、 季小玲 2008 57 2607]
[17] Chen X W, Ji X L 2009 Acta Phys. Sin. 58 2435 (in Chinese) [陈晓文、季小玲 2009 58 2435]
[18] Zheng W W, Wang L Q, Xu J P, Wang L G 2009 Acta Phys. Sin. 58 5098 (in Chinese) [郑巍巍、王丽琴、许静平、王立刚 2009 58 5098]
[19] Chen X W, Ji X L 2010 Chin. Phys. B 19 024203
[20] Ji X L, Eyyuboglu H T, Baykal Y 2010 Opt. Express 18 6922
[21] Casperson L W, Hall D G, Tovar A A 1998 J. Opt. Soc. Am. A 15 954
[22] Zahid M, Zubairy M S 1989 Opt. Commun. 70 361
[23] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge Uinversity Press)
[24] Siegman A E 1990 Proc. SPIE 1224 2
[25] Ji X L, Li X Q 2010 J. Opt. 12 035403
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