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Changes of propagation characteristic parameters for partially coherent Hermite-Gaussian beams in a turbulent atmosphere
Authors:Yongping Huang  Bin Zhang  Youquan Dan  Fuxing FuShuguang Zeng
Institution:a Key Laboratory of Computational Physics, Yibin University, Yibin 644007, China
b College of Electronics Information, Sichuan University, Chengdu 610064, China
c Department of Physics, Civil Aviation Flight University of China, Guanghan 618307, China
Abstract:Based on the extended Huygens-Fresnel principle and the definition of second-order moments of the Wigner distribution function (WDF), the analytical formulas for the root-mean-square (rms) spatial and angular widths and the M2-factor of partially coherent Hermite-Gaussian (PCHG) beams propagating through atmospheric turbulence are derived. The major factors affecting on the M2-factor are also discussed in detail. The results show that the rms spatial and angular widths and the M2-factor increase with the propagation distance and the strength of turbulence. However, the relative rms spatial and angular widths and the relative M2-factor of PCHG beams with a higher order, lower coherence and longer wavelength are less affected by the turbulence.
Keywords:Laser optics  Partially coherent Hermite-Gaussian (PCHG) beams  M2-factor  Atmospheric turbulence  Second-order moments
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