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Effective radius of curvature of spatially partially coherent beams propagating through non-Kolmogorov turbulence

Huang Yong-Ping Zhao Guang-Pu Xiao Xi Wang Fan-Hou

Effective radius of curvature of spatially partially coherent beams propagating through non-Kolmogorov turbulence

Huang Yong-Ping, Zhao Guang-Pu, Xiao Xi, Wang Fan-Hou
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  • Received Date:  26 June 2011
  • Accepted Date:  26 December 2011
  • Published Online:  05 July 2012

Effective radius of curvature of spatially partially coherent beams propagating through non-Kolmogorov turbulence

  • 1. Computational Physics Key Laboratory of Sichuan Province, Yibin 644007, China;
  • 2. School of Physics and Electronic Engineering, Yibin University, Yibin 644007,China
Fund Project:  Project supported by Science Foundation of Sichuan Provincial Education Department, China (Grant No. 12ZA203).

Abstract: The laser beam propagation through atmospheric turbulence is of importance for both theoretical study and practical applications. Taking the Gaussian Schell-model (GSM) beam as a typical example of spatially partially coherent beams,based on the non-Kolmogorov spectrum and generalized Huygens-Fresnel principle, the analytical expression for the effective radius of curvature of GSM beams propagating through non-Kolmogorov turbulence is derived. The effects of turbulence parameters (including generalized exponent parameter, inner scale l0, and outer scale L0) and propagation distance z on the effective radius of curvature of GSM beams are stressed. It is shown that the effective radius of curvature of GSM beams increases with outer scale L0 decreasing for 3.6 4 and the inner scale l0 increasing, but dose not monotonically vary with the increases of exponent parameter and propagation distance z. The results are explained physically.

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