中国物理B ›› 2010, Vol. 19 ›› Issue (9): 94201-094201.doi: 10.1088/1674-1056/19/9/094201

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Comparison between relay propagation and direct propagation of Gaussian—Schell-model beam in turbulent atmosphere along a slant path

吴毅1, 刘泽金2, 储修祥3   

  1. (1)Anhui Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Hefei 230031, China; (2)College of Optoelectronic Science and Engineering, National University of Defence Technology, Changsha 410073, China; (3)School of Sciences, Zhejiang Forestry University, Lin'an 311300, China;College of Optoelectronic Science and Engineering, National University of Defence Technology, Changsha 410073, China; Anhui Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Hefei 230031, China
  • 收稿日期:2009-06-27 修回日期:2010-02-28 出版日期:2010-09-15 发布日期:2010-09-15

Comparison between relay propagation and direct propagation of Gaussian–Schell-model beam in turbulent atmosphere along a slant path

Chu Xiu-Xiang(储修祥)a)b)c), Liu Ze-Jin(刘泽金)b), and Wu Yi(吴毅)c)   

  1. a School of Sciences, Zhejiang Forestry University, Lin'an 311300, China; b College of Optoelectronic Science and Engineering, National University of Defence Technology, Changsha 410073, China; c Anhui Institute of Optics and Fine Mechanics, the Chinese Academy of Sciences, Hefei 230031, China
  • Received:2009-06-27 Revised:2010-02-28 Online:2010-09-15 Published:2010-09-15

摘要: The relay propagation of Gaussian--Schell-model in turbulent atmosphere along a slant path is studied in this paper. Based on the extended Huygens--Fresnel principle and a quadratic approximation, an analytical formula of average intensity for Gaussian--Schell-model beams in turbulent atmosphere along a slant path is derived, and some special cases are discussed. From the study and the comparison with the direct propagation, we can see that the relay propagation has an advantage over the direct propagation. When the altitude of the target is low, the peak intensity of relay propagation is much larger than that of direct propagation. However, because of the limitation of the relay system aperture for relay propagation and the variation of coherence length for direct propagation, the difference in peak intensity between the two propagations decreases with the increase of the target altitude.

Abstract: The relay propagation of Gaussian–Schell-model in turbulent atmosphere along a slant path is studied in this paper. Based on the extended Huygens–Fresnel principle and a quadratic approximation, an analytical formula of average intensity for Gaussian–Schell-model beams in turbulent atmosphere along a slant path is derived, and some special cases are discussed. From the study and the comparison with the direct propagation, we can see that the relay propagation has an advantage over the direct propagation. When the altitude of the target is low, the peak intensity of relay propagation is much larger than that of direct propagation. However, because of the limitation of the relay system aperture for relay propagation and the variation of coherence length for direct propagation, the difference in peak intensity between the two propagations decreases with the increase of the target altitude.

Key words: relay propagation, Gaussian–Schell-model beam, turbulence

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  • 4225B