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Chin. Phys. B, 2014, Vol. 23(6): 064209    DOI: 10.1088/1674-1056/23/6/064209
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

A further study on the spreading and directionality of Gaussian array beams in non-Kolmogorov turbulence

Lu Lu (陆璐), Ji Xiao-Ling (季小玲), Deng Jin-Ping (邓金平), Li Xiao-Qing (李晓庆)
Department of Physics, Sichuan Normal University, Chengdu 610066, China
Abstract  It is found that in free space, the curves of the mean-squared beam width may each have a cross point at a certain propagation distance zc. For Gaussian array beams, the analytical expressions of zc are derived. For the coherent combination, zc is larger than that for the incoherent combination. However, in non-Kolmogorov turbulence, the cross point disappears, and the Gaussian array beams will have the same directionality in terms of the angular spread. Furthermore, a short propagation distance is needed to reach the same directionality when the generalized exponent is equal to 3.108. In particular, it is shown that the condition obtained in previous studies is not necessary for laser beams to have the same directionality in turbulence, which is explained physically. On the other hand, the relative average intensity distributions at the position where the Gaussian array beams have the same mean-squared beam width are also examined.
Keywords:  cross point of curves of the mean-squared beam width      spreading and directionality      non-Kolmogorov turbulence      Gaussian array beams  
Received:  21 September 2013      Revised:  04 November 2013      Accepted manuscript online: 
PACS:  42.68.Bz (Atmospheric turbulence effects)  
  42.25.Bs (Wave propagation, transmission and absorption)  
  42.25.Dd (Wave propagation in random media)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61178070) and the Construction Plan for Scientific Research Innovation Teams of Universities in Sichuan Province, China (Grant No. 12TD008).
Corresponding Authors:  Ji Xiao-Ling     E-mail:  jiXL100@163.com

Cite this article: 

Lu Lu (陆璐), Ji Xiao-Ling (季小玲), Deng Jin-Ping (邓金平), Li Xiao-Qing (李晓庆) A further study on the spreading and directionality of Gaussian array beams in non-Kolmogorov turbulence 2014 Chin. Phys. B 23 064209

[1] Gbur G and Wolf E 2002 J. Opt. Soc. Am. A 19 1592
[2] Young C Y, Gilchrest Y V and Macon B R 2002 Opt. Eng. 41 1097
[3] Ricklin J C and Davidson F M 2002 J. Opt. Soc. Am. A 19 1794
[4] Dan Y Q, Zeng S G, Hao B Y and Zhang B 2010 J. Opt. Soc. Am. A 27 426
[5] Zhou G Q, Cai Y J and Chu X X 2012 Opt. Express 20 9897
[6] Li Y Q and Wu Z S 2012 Chin. Phys. B 21 054203
[7] Qian X M, Zhu W Y and Rao R Z 2012 Chin. Phys. B 21 094202
[8] Shirai T, Dogariu A and Wolf E 2003 Opt. Lett. 28 610
[9] Ji X L and Li X Q 2009 J. Opt. Soc. Am. A 26 236
[10] Chen X W and Ji X L 2008 Opt. Commun. 281 4765
[11] Ji X L, Li X Q and Ji G M 2008 Opt. Express 16 18850
[12] Kolmogorov A N and Acad C R 1941 Sci. URSS 30 301
[13] Rao C H, Jiang W H and Ling N 2000 J. Mod. Opt. 47 1111
[14] Zilberman A, Golbraikh E and Kopeika N S 2005 Proc. SPIE 5987 598702
[15] Tatarski V I 1961 Wave Propagation in a Turbulent Medium (New York: McGraw-Hill)
[16] Toselli I, Andrews L C, Phillips R L and Ferrero V 2007 Proc. SPIE 6551 65510E-1
[17] Toselli I, Andrews L C, Phillips R L and Ferrero V 2008 Opt. Eng. 47 026003
[18] Wu G H, Guo H, Yu S and Luo B 2010 Opt. Lett. 35 715
[19] Shchepakina E and Korotkova O 2010 Opt. Express 18 10650
[20] Gerçekcioğlu H and Baykal Y 2012 J. Opt. Soc. Am. A 29 169
[21] Huang Y P, Zhao G P, Xiao X and Wang F H 2012 Acta Phys. Sin. 61 144202 (in Chinese)
[22] He X M and Lü B D 2012 Acta Phys. Sin. 61 054201 (in Chinese)
[23] Deng J P, Ji X L, Pu Z C, Li X Q and Jia X H 2013 Opt. Commun. 301-302 19
[24] Yelden E F, Seguin H J J, Capjack C E and Nikumb S K 1991 Appl. Phys. Lett. 58 693
[25] Bilida W D, Strohschein J D and Seguin H J J 1997 Proc. SPIE 2987 13
[26] Cai Y J, Lin Q, Baykal Y and Eyyuboğlu H T 2007 Opt. Commun. 278 157
[27] Zhu Y B, Zhao D M and Du X Y 2008 Opt. Express 16 18437
[28] Tao R M, Si L, Ma Y X, Zhou P and Liu Z J 2012 Appl. Opt. 51 5609
[29] Tang H, Ou B L, Luo B, Guo H and Dang A H 2011 J. Opt. Soc. Am. A 28 1016
[30] Andrews L C and Phillips R L 2005 Laser Beam Propagation through Random Media, 2nd edn. (Bellingham: SPIE Optical Engineering Press)
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