Spatial coherence of partially coherent flat-topped beam in the slant atmosphere path

CANG Ji; QI Wen-hui; ZHANG Yi-xin

doi:10.3969/j.issn.1001-3806.2009.05.029

In order to study the effect of different zenith angles,propagation distances,coherence of source and outer scale of turbulence on the spatial coherence on the receiver,based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function,the expression of the spatial coherence for partially coherent flat-topped beam propagating through slant turbulent atmosphere was derived with the help of tensor integral.Results show that the spatial coherence of the beam oscillates with the increase of distance between two observed points for shorter propagation distances in slant atmosphere path and the oscillating phenomenon disappears for longer propagation distances.When the propagation distance is fixed,the width of spatial coherence is shorter at larger zenith angles.In the slant atmosphere path,for the beam with shorter initial coherent lengths,the width of spatial coherence doesn't become shorter with the increase of propagation distance.The spatial coherence of the beam is not relevant to its initial coherence for longer propagation distances.

Spatial coherence of partially coherent flat-topped beam in the slant atmosphere path

Corresponding author: ZHANG Yi-xin, zyx@sytu.edu.cn

1. School of Science, Jiangnan University, Wuxi 214122, China

Received Date: 2008-07-28

Accepted Date: 2008-11-11

Available Online: 2009-10-25

Abstract: In order to study the effect of different zenith angles,propagation distances,coherence of source and outer scale of turbulence on the spatial coherence on the receiver,based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function,the expression of the spatial coherence for partially coherent flat-topped beam propagating through slant turbulent atmosphere was derived with the help of tensor integral.Results show that the spatial coherence of the beam oscillates with the increase of distance between two observed points for shorter propagation distances in slant atmosphere path and the oscillating phenomenon disappears for longer propagation distances.When the propagation distance is fixed,the width of spatial coherence is shorter at larger zenith angles.In the slant atmosphere path,for the beam with shorter initial coherent lengths,the width of spatial coherence doesn't become shorter with the increase of propagation distance.The spatial coherence of the beam is not relevant to its initial coherence for longer propagation distances.

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Reference (18)

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Spatial coherence of partially coherent flat-topped beam in the slant atmosphere path

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