Generalized tensor ABCD law for an elliptical Gaussian beam passing through an astigmatic optical system in turbulent atmosphere |
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| Authors: | Yangjian Cai Q. Lin H. T. Eyyubo?lu Y. Baykal |
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| Affiliation: | (1) School of Physical Science and Technology, Suzhou University, Suzhou, 215006, China;(2) Max-Planck-Research-Group, Institute of Optics, Information and Photonics, University of Erlangen, Staudtstr. 7/B2, 91058 Erlangen, Germany;(3) Institute of Optics, Department of Physics, Zhejiang University, Hangzhou, 310027, China;(4) Department of Electronic and Communication Engineering, ?ankaya University, ?ğretmenler Cad. 14, Yüzüncüyıl, 06530 Balgat Ankara, Turkey |
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| Abstract: | The propagation of an elliptical Gaussian beam (EGB) through an astigmatic ABCD optical system in a turbulent atmosphere is investigated. An analytical formula for the average intensity of an EGB and a generalized tensor ABCD law for the generalized complex curvature tensor are derived. As an application example, we derived an analytical formula for the average intensity of an elliptical flat-topped beam propagating through an astigmatic ABCD optical system in a turbulent atmosphere. As a numerical example, the focusing properties of an EGB focused by a thin lens in a turbulent atmosphere are studied. It is found that the focused beam at the focal plane becomes a circular Gaussian beam when the atmospheric turbulence is strong enough, and the beam width of the circular Gaussian beam is determined by atmospheric turbulence strength, focal length of the thin lens, and wavelength of the initial beam but is independent of the initial beam widths (i.e., initial intensity distribution). |
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| Keywords: | KeywordHeading" >PACS 42.25.Bs 41.85.Ew 42.68.Ay |
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