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Chin. Phys. B, 2009, Vol. 18(2): 571-580    DOI: 10.1088/1674-1056/18/2/031

Propagation of the off-axis superposition of partially coherent beams through atmospheric turbulence

Zhang En-Tao(张恩涛)a)b), Ji Xiao-Ling(季小玲)c), and Lü Bai-Da(吕百达)a)
a Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China; b School of Sciences of Southwest Petroleum University, Chengdu 610500, China; c College of Electronic Engineering, Sichuan Normal University, Chengdu 610066, China 
Abstract  The propagation properties of the off-axis superposition of partially coherent beams through atmospheric turbulence and their beam quality in terms of the mean-squared beam width $w(z)$ and the power in the bucket (PIB) are studied in detail, where the effects of partial coherence, off-axis beam superposition and atmospheric turbulence are considered. The analytical expressions for the intensity, the beam width and the PIB are derived, and illustrative examples are given numerically. It is shown that the maximum intensity Imax and the PIB decrease and $w(z)$ increases as the refraction index structure constant Cn2 increases. Therefore, the turbulence results in a degradation of the beam quality. However, the resulting partially coherent beam with a smaller value of spatial correlation parameter $\gamma$ and larger values of separate distance xd and beam number M is less affected by the turbulence than that with a larger value of $\gamma$ and smaller values of xd and M. The main results obtained in this paper are explained physically.
Keywords:  off-axis superposition of partially coherent beams      atmospheric turbulence      propagation property      beam quality  
Received:  14 November 2007      Revised:  30 June 2008      Accepted manuscript online: 
PACS: (Convection, turbulence, and diffusion)  
  42.68.Bz (Atmospheric turbulence effects)  
  42.25.Bs (Wave propagation, transmission and absorption)  
  42.25.Kb (Coherence)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60778048).

Cite this article: 

Zhang En-Tao(张恩涛), Ji Xiao-Ling(季小玲), and Lü Bai-Da(吕百达) Propagation of the off-axis superposition of partially coherent beams through atmospheric turbulence 2009 Chin. Phys. B 18 571

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