Spatial coherence properties of GSM array beams in turbulent atmosphere

Lu Fang; Han Xiang'e

Based on the extended Huygens-Fresnel principle and the quadratic approximation of Rytov's phase structure function, the analytical expression for the cross-spectral density function of the Gaussian Schell-Model (GSM) array beams propagating in atmospheric turbulence was derived. The degree of spatial coherence of GSM array beams in atmospheric turbulence was investigated numerically. The result shows that the spatial coherence properties of the GSM array beams are determined by the coherent length of beamlets, the transmission distance, the refractive index structure constant of atmospheric turbulence and the relative radial fill factor of the source in common. It also shows that the spatial coherence of the GSM array beams ends as Gaussian distribution, but multiple peaks are existed during the transmission, the width of the degree of coherence becomes smaller with the transmission distance continues increase which means that the degree of spatial coherence turns worse.

1. School of Physics and Optoelectronic Engineering,Xidian University,Xl'an 710071,China

Received Date: 2014-05-05

Rev Recd Date: 2014-06-10

Publish Date: 2015-01-25

Key words:

Abstract: Based on the extended Huygens-Fresnel principle and the quadratic approximation of Rytov's phase structure function, the analytical expression for the cross-spectral density function of the Gaussian Schell-Model (GSM) array beams propagating in atmospheric turbulence was derived. The degree of spatial coherence of GSM array beams in atmospheric turbulence was investigated numerically. The result shows that the spatial coherence properties of the GSM array beams are determined by the coherent length of beamlets, the transmission distance, the refractive index structure constant of atmospheric turbulence and the relative radial fill factor of the source in common. It also shows that the spatial coherence of the GSM array beams ends as Gaussian distribution, but multiple peaks are existed during the transmission, the width of the degree of coherence becomes smaller with the transmission distance continues increase which means that the degree of spatial coherence turns worse.

HTML

Reference (25)

[1]
[2]	Ji Xiaoling, Li Xiaoqing. The far-field divergence angle and the far-field radiant intensity distribution of Gaussian Schell-model array beams [J]. Acta Physica Sinica, 2009, 58 (7): 4624-4629. (in Chinese) 季小玲, 李晓庆. 高斯-谢尔模型阵列光束的远场发散角和远场辐射强度[J]. 物理学报, 2009, 58(7): 4624-4629.
[3]
[4]	Tian Baogang, Zhu Wenyue, Rao Ruizhong, et al. Research progress on propagation of laser array beams in turbulent atmosphere [J]. Journal of Atmospheric and Enviromental Optics, 2013, 8(2): 81-90. (in Chinese) 田宝刚, 朱文越, 饶瑞中, 等. 阵列合成激光束在湍流大气中传输的研究进展[J]. 大气与环境光学学报, 2013, 8 (2): 81-90.
[5]	Shao Xiaoli, Ji Xiaoling. Effective radius of curvature of rectangular Gaussian Schell-model array beams [J]. High Power Laser and Particle Beams, 2011, 2(7): 1799-1804. (in Chinese) 邵晓利, 季小玲. 矩形分布高斯-谢尔模型列阵光束的等效曲率半径[J]. 强激光与粒子束, 2011, 2(7): 1799-1804.
[6]
[7]	Li Changjin, Luo Yamei. Propagation properties of nonparaxial Hermite-Gaussian multiple radial array beams [J]. Infrared and Laser Engineering, 2013, 42(S1): 111-117. (in Chinese) 黎昌金, 罗亚梅. 非傍轴厄米-高斯光束多重径向阵列光束的传输特性[J]. 红外与激光工程, 2013, 42(S1): 111-117.
[8]
[9]
[10]	Cai Y, Chen Y, Eyyubo?lu H T, et al. Propagation of laser array beams in a turbulent atmosphere [J]. Appl Phys B, 2007, 88: 467-475.
[11]
[12]	Haiyan Wang,Xiangyin Li. Propagation properties of radial partially coherent flat-topped array beams in a turbulent atmosphere[J]. Opt Commun, 2010, 283: 4178-4189.
[13]
[14]	Lv Baida, Ma Hong. Beam propagation properties of radial laser arrays[J]. Opt Soc Am A, 2005, 17(11): 2005-2009.
[15]
[16]	Baykal Y, Eyyuboglu H T, Cai Y. Scintillations of partially coherent multiple Gaussian beams in turbulence [J]. Appl Opt, 2009, 48(10): 1943-1954.
[17]	Xiang Ningjing,Wu Zhensen,Wang Mingjun. Spreading and wander of Gaussian-Schell model beam propagation through atmospheric turbulence [J]. Infrared and Laser Engineering, 2013, 42(3): 658-662. (in Chinese) 向宁静, 吴振森, 王明军. 部分相干高斯-谢尔光束在大气湍流中的展宽与漂移[J]. 红外与激光工程, 2013, 42(3): 658-662.
[18]
[19]
[20]	Ricklin J C, Davidson F M. Atmospheric turbulence effects on a partially coherent Gaussian beam:implications for free-space laser communication[J]. J Opt Soc Am A, 2002, 19(9): 1794-1802.
[21]
[22]	Du X, Zhao D, Korotkova O. Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere [J]. Opt Express, 2007, 15(25): 16909-15.
[23]	Wei Lu, Li Renliu, Sun Jianfeng, et al. Change in degree of coherence of partially coherent electromagnetic beams propagating through atmospheric turbulence [J]. Opt Commun, 2007, 271: 1-8.
[24]
[25]	Mandel L, Wolf E. Optical Coherence and Quantum Optics[M]. Cambridge: Cambridge University Press, 2001. (in Chinese)

Spatial coherence properties of GSM array beams in turbulent atmosphere

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Related

Proportional views