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<p>Based on the extended Huygens-Fresnel principle and the second-order moments of the Wigner distribution function (WDF), we have derived the evolution expressions for the propagation factor (<i>M</i><sup>2</sup>-factor and angular width) and the effective radius of curvature (ERC) of higher-order Laguerre–Gaussian correlated Schell-model (L<sub><i>pl</i></sub>GCSM) beams in non-Kolmogorov turbulence. The effects of the initial beam parameters and the parameters of turbulence on the propagation factor and ERC of the standard and elegant L<sub><i>pl</i></sub>GCSM beams have been thoroughly examined by a set of numerical examples. It has been found that, mainly because of the high-order Laguerre coherent factor, both standard and elegant L<sub><i>pl</i></sub>GCSM beams are superior to Gaussian Schell-model (GSM) beams and Laguerre-Gaussian correlated Schell-model (LGCSM) beams in reducing the negative impacts of turbulence. Additionally, the standard L<sub><i>pl</i></sub>GCSM beams exhibit less sensitivity to turbulence than the elegant L<sub><i>pl</i></sub>GCSM beams.</p>

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Second-order statistics of the standard and elegant higher-order Laguerre–Gaussian correlated Schell-model beams propagating in non-Kolmogorov turbulence

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Xiaoming Wang

摘要

Based on the extended Huygens-Fresnel principle and the second-order moments of the Wigner distribution function (WDF), we have derived the evolution expressions for the propagation factor (M2-factor and angular width) and the effective radius of curvature (ERC) of higher-order Laguerre–Gaussian correlated Schell-model (LplGCSM) beams in non-Kolmogorov turbulence. The effects of the initial beam parameters and the parameters of turbulence on the propagation factor and ERC of the standard and elegant LplGCSM beams have been thoroughly examined by a set of numerical examples. It has been found that, mainly because of the high-order Laguerre coherent factor, both standard and elegant LplGCSM beams are superior to Gaussian Schell-model (GSM) beams and Laguerre-Gaussian correlated Schell-model (LGCSM) beams in reducing the negative impacts of turbulence. Additionally, the standard LplGCSM beams exhibit less sensitivity to turbulence than the elegant LplGCSM beams.