Average intensity and spreading of an astigmatic sinh-Gaussian beam with small beam width propagating in atmospheric turbulence. Issue 18 (11th October 2017)

• Record Type: Journal Article
• Authors: Zhu, Jie; Zhu, Kaicheng; Tang, Huiqin; Xia, Hui
• Is Part Of: Journal of modern optics. Volume 64:Issue 18(2017)
• Page Start: 1915
• Page End: 1921
• Publication Date: 2017-10-11
• Subjects: Astigmatic sinh-Gaussian beam -- turbulent atmosphere -- dark hollow beam; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2017.1326638
• Languages: English
• ISSNs: 0950-0340

Abstract

Abstract: Propagation properties of astigmatic sinh-Gaussian beams (ShGBs) with small beam width in turbulent atmosphere are investigated. Based on the extended Huygens–Fresnel integral, analytical formulae for the average intensity and the effective beam size of an astigmatic ShGB are derived in turbulent atmosphere. The average intensity distribution and the spreading properties of an astigmatic ShGB propagating in turbulent atmosphere are numerically demonstrated. The influences of the beam parameters and the structure constant of atmospheric turbulence on the propagation properties of astigmatic ShGBs are also discussed in detail. In particular, for sufficiently small beam width and sinh-part parameter as well as suitable astigmatism, we show that the average intensity pattern converts into a perfect dark-hollow profile from initial two-petal pattern when ShGBs with astigmatic aberration propagate through atmospheric turbulence.