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Huang Y.,Computational Physics Key Laboratory of Sichuan Province | Huang Y.,Yibin University | Zhao G.,Computational Physics Key Laboratory of Sichuan Province | Gao Z.,Computational Physics Key Laboratory of Sichuan Province | Wang F.,Computational Physics Key Laboratory of Sichuan Province
Optik | Year: 2013

By using the extended Huygens-Fresnel principle and non-Kolmogorov spectrum, the analytical expression for the effective radius of curvature of Hermite-Gaussian (H-G) beams propagating through non-Kolmogorov turbulence is derived. It is shown that the effective radius of curvature of H-G beams in non-Kolmogorov turbulence depends on the generalized exponent parameter α, inner scale l 0, outer scale L 0, and propagation distance z. The effective radius of curvature of H-G beams increases with decreasing outer scale L 0 for 3.6 < α < 4 and the increasing inner scale l 0, but dose not monotonously vary with increasing exponent parameter α and propagation distance z. The results are interpreted physically. © 2011 Elsevier GmbH. All rights reserved. Source


Huang Y.-P.,Computational Physics Key Laboratory of Sichuan Province | Huang Y.-P.,Yibin University | Zhao G.-P.,Computational Physics Key Laboratory of Sichuan Province | Xiao X.,Computational Physics Key Laboratory of Sichuan Province | Wang F.-H.,Computational Physics Key Laboratory of Sichuan Province
Wuli Xuebao/Acta Physica Sinica | Year: 2012

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 α, inner scale l 0, and outer scale L 0) 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 L 0 decreasing for 3.6 < α < 4 and the inner scale l 0 increasing, but dose not monotonically vary with the increases of exponent parameter α and propagation distance z. The results are explained physically. © 2012 Chinese Physical Society. Source


Huang Y.,Computational Physics Key Laboratory of Sichuan Province | Huang Y.,Yibin University | Zhao G.,Computational Physics Key Laboratory of Sichuan Province | Gao Z.,Computational Physics Key Laboratory of Sichuan Province | And 2 more authors.
Journal of Modern Optics | Year: 2011

Based on the extended Huygens-Fresnel principle and the definition of the second-order moments of the Wigner distribution function (WDF), the analytical expressions for the root-mean-square (rms) beam width and far-field divergence angle, curvature radius and M2-factor of standard Hermite-Gaussian (SHG) and elegant Hermite-Gaussian (EHG) beams passing through turbulent atmosphere are derived and compared. It is shown that in turbulent atmosphere the far-field divergence angle of SHG and EHG beams is equal under the same conditions, but the rms beam width, curvature radius and the M 2-factor of SHG and EHG beams are different except for beam orders m = 0 and m = 1. The relative rms beam width, relative curvature radius and relative M2-factor of SHG beams are less than those of EHG beams. Therefore, the conclusion that SHG beams are less influenced by turbulence than EHG beams can be drawn if we examine one of the above three relative beam parameters. © 2011 Taylor & Francis. Source

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