Journal
OPTICS EXPRESS
Volume 18, Issue 24, Pages 24661-24672Publisher
OPTICAL SOC AMER
DOI: 10.1364/OE.18.024661
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Funding
- National Natural Science Foundation of China [10904102]
- Foundation for the Author of National Excellent Doctoral Dissertation of PR China [200928]
- Natural Science of Jiangsu Province [BK2009114]
- Huo Ying Dong Education Foundation of China [121009]
- Chinese Ministry of Education [210081]
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We present a detailed investigation of the second-order statistics of a twisted Gaussian Schell-model (TGSM) beam propagating in turbulent atmosphere. Based on the extended Huygens-Fresnel integral, analytical expressions for the second-order moments of the Wigner distribution function of a TGSM beam in turbulent atmosphere are derived. Evolution properties of the second-order statistics, such as the propagation factor, the effective radius of curvature (ERC) and the Rayleigh range, of a TGSM beam in turbulent atmosphere are explored in detail. Our results show that a TGSM beam is less affected by the turbulence than a GSM beam without twist phase. In turbulent atmosphere the Rayleigh range doesn't equal to the distance where the ERC takes a minimum value, which is much different from the result in free space. The second-order statistics are closely determined by the parameters of the turbulent atmosphere and the initial beam parameters. Our results will be useful in long-distance free-space optical communications. (C) 2010 Optical Society of America
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