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

doi:10.1088/1674-1056/23/6/064209

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 64209-064209.doi: 10.1088/1674-1056/23/6/064209

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

陆璐, 季小玲, 邓金平, 李晓庆

Department of Physics, Sichuan Normal University, Chengdu 610066, China

收稿日期:2013-09-21 修回日期:2013-11-04 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
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).

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

Received:2013-09-21 Revised:2013-11-04 Online:2014-06-15 Published:2014-06-15
Contact: Ji Xiao-Ling E-mail:jiXL100@163.com
Supported by:
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).

摘要/Abstract

摘要： 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 z_c. For Gaussian array beams, the analytical expressions of z_c are derived. For the coherent combination, z_c 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.

关键词: cross point of curves of the mean-squared beam width, spreading and directionality, non-Kolmogorov turbulence, Gaussian array beams

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 z_c. For Gaussian array beams, the analytical expressions of z_c are derived. For the coherent combination, z_c 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.

Key words: cross point of curves of the mean-squared beam width, spreading and directionality, non-Kolmogorov turbulence, Gaussian array beams

中图分类号: (Atmospheric turbulence effects)

42.68.Bz

42.25.Bs (Wave propagation, transmission and absorption) 42.25.Dd (Wave propagation in random media)

陆璐, 季小玲, 邓金平, 李晓庆. A further study on the spreading and directionality of Gaussian array beams in non-Kolmogorov turbulence[J]. 中国物理B, 2014, 23(6): 64209-064209.

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[J]. Chin. Phys. B, 2014, 23(6): 64209-064209.

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

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

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