Wenli Liu, Yonggen Xu, Bangzhuo An, Qian Xu, Nianchi Hao, Yongtao Liu
{"title":"Beam Propagation Factor of a Partially Coherent Twisted Elliptical Vortex Beam in Inhomogeneous Atmospheric Turbulence","authors":"Wenli Liu, Yonggen Xu, Bangzhuo An, Qian Xu, Nianchi Hao, Yongtao Liu","doi":"10.1007/s10946-023-10150-w","DOIUrl":null,"url":null,"abstract":"<div><p>Based on the extended Huygens–Fresnel principle and the second-order moments of the Wigner distribution function (WDF), we derive the analytical formulas for the root-mean-square (rms) spatial width, rms angular width, and M<sup>2</sup>-factor of a partially coherent twisted elliptical vortex beam (PCTEVB) propagating through the inhomogeneous atmospheric turbulence. The spatial spreading, angular width, and M<sup>2</sup>-factor of a PCTEVB in turbulence are investigated numerically and comparatively. We find an interesting result that the relative rms angular width and M<sup>2</sup>-factor of PCTEVB with a small ellipticity propagating through turbulence decreases, meaning that the elliptical vortex beam is less affected by the inhomogeneous atmospheric turbulence in comparison with the traditional vortex beam. We also find that the relative M<sup>2</sup>-factor and the relative rms angular width of PCTEVB mainly depend on the topological charge, twist factor, initial coherent length, zenith angle, and propagation distance. In addition, the PCTEVB, with a small initial coherent length and ellipticity as well as a large twist factor, has a stronger anti-turbulence ability. Our outcomes may have future extensive possibilities in free-space optical communications.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10946-023-10150-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Based on the extended Huygens–Fresnel principle and the second-order moments of the Wigner distribution function (WDF), we derive the analytical formulas for the root-mean-square (rms) spatial width, rms angular width, and M2-factor of a partially coherent twisted elliptical vortex beam (PCTEVB) propagating through the inhomogeneous atmospheric turbulence. The spatial spreading, angular width, and M2-factor of a PCTEVB in turbulence are investigated numerically and comparatively. We find an interesting result that the relative rms angular width and M2-factor of PCTEVB with a small ellipticity propagating through turbulence decreases, meaning that the elliptical vortex beam is less affected by the inhomogeneous atmospheric turbulence in comparison with the traditional vortex beam. We also find that the relative M2-factor and the relative rms angular width of PCTEVB mainly depend on the topological charge, twist factor, initial coherent length, zenith angle, and propagation distance. In addition, the PCTEVB, with a small initial coherent length and ellipticity as well as a large twist factor, has a stronger anti-turbulence ability. Our outcomes may have future extensive possibilities in free-space optical communications.