A tensor method is used to formulate the on-axis scintillation index for an elliptical Gaussian beam (EGB; astigmatic Gaussian beam) propagating in a weak turbulent atmosphere. Variations of the on-axis scintillation of an EGB are studied. It is interesting to find that the scintillation index of an EGB can be smaller than that of a circular Gaussian beam in a weakly turbulent atmosphere under certain conditions and is closely related to the ratio of the beam waist size along the long axis to that along the short axis of the EGB, the wavelength, and the structure constant of the turbulent atmosphere.
© 2007 Optical Society of America
Atmospheric and oceanic optics
Original Manuscript: May 17, 2007
Revised Manuscript: June 14, 2007
Manuscript Accepted: June 17, 2007
Published: August 6, 2007
Yangjian Cai, Yuntian Chen, Halil T. Eyyuboglu, and Yahya Baykal, "Scintillation index of elliptical Gaussian beam in turbulent atmosphere," Opt. Lett. 32, 2405-2407 (2007)