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Propagation properties of anomalous hollow beams in a turbulent atmosphere
Authors:Yangjian Cai  Halil T Eyyubolu  Yahya Baykal
Affiliation:aCollege of Optical and Electronic Technology, China Jiliang University, Hangzhou 310018, China;bMax-Planck-Research-Group, Institute of Optics, Information and Photonics, University of Erlangen, Staudtstr. 7/B2, D-91058 Erlangen, Germany;cDepartment of Electronic and Communication Engineering, Çankaya University, Öğretmenler Cad. 14, Yüzüncüyıl 06530 Balgat Ankara, Turkey
Abstract:Propagation of circular and elliptical anomalous hollow beams in a turbulent atmosphere is investigated in detail. Based on the extended Huygens–Fresnel integral, analytical formulae for the average irradiance of circular and elliptical anomalous hollow beams propagating in a turbulent atmosphere are derived. The irradiance and spreading properties of circular and elliptical anomalous hollow beams in a turbulent atmosphere and in free space are studied numerically. It is found that circular and elliptical anomalous hollow beams at short propagation distance in turbulent atmosphere have similar propagation properties to those of free space, while at long propagation distance, circular and elliptical anomalous hollow beams eventually become circular Gaussian beams in a turbulent atmosphere, which is much different from their propagation properties in free space. The conversion from an anomalous hollow beam to a circular Gaussian beam becomes quicker and the beam spot spreads more rapidly for a larger structure constant, a shorter wavelength and a smaller waist size of the initial beam.
Keywords:42  25  Bs  41  85  Ew
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