Abstract

The general formulae for second-order moments of Schell-model beams with various correlation functions in atmospheric turbulence are derived and validated by the Bessel–Gaussian Schell-model beams and cosine-Gaussian-correlated Schell-model beams. Our finding shows that the second-order moments of partially coherent Schell-model beams are related to the second-order partial derivatives of source spectral degree of coherence at the origin. The formulae we provide are much more convenient to analyze and research propagation problems in turbulence.

© 2017 Optical Society of America

Propagation of multi-cosine-Laguerre-Gaussian correlated Schell-model beams in free space and atmospheric turbulence

Jie Zhu, Xiaoli Li, Huiqin Tang, and Kaicheng Zhu
Opt. Express 25(17) 20071-20086 (2017)

Second-order statistics of a twisted Gaussian Schell-model beam in turbulent atmosphere

Fei Wang and Yangjian Cai
Opt. Express 18(24) 24661-24672 (2010)

Evolution properties of Bessel-Gaussian Schell-model beams in non-Kolmogorov turbulence

Xiaoyang Wang, Mingwu Yao, Zhiliang Qiu, Xiang Yi, and Zengji Liu
Opt. Express 23(10) 12508-12523 (2015)

Second moments of partially coherent beams in atmospheric turbulence

Youquan Dan and Bin Zhang
Opt. Lett. 34(5) 563-565 (2009)

Second-order moments of a twisted Gaussian Schell-model beam in anisotropic turbulence

Jing Wang, Haiyan Wang, Shijun Zhu, and Zhenhua Li
J. Opt. Soc. Am. A 35(7) 1173-1179 (2018)