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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, Ji Xiao-Ling, Deng Jin-Ping, Li Xiao-Qing
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      Published:  15 June 2014
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, Ji Xiao-Ling, Deng Jin-Ping, Li Xiao-Qing A further study on the spreading and directionality of Gaussian array beams in non-Kolmogorov turbulence 2014 Chin. Phys. B 23 064209

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