Abstract

Based on the theory of first-order Born approximation, analytical expressions for rectangular cosine-Gaussian Schell-model (RCGSM) beams scattered on a deterministic medium in the far zone are derived. In terms of the analytical formula obtained, the changes of a RCGSM beam’s scattered spectrum are numerically investigated. Results show that several parameters (including the scattering directions ${\mathrm{s}}_{\mathrm{x}}$ and ${\mathrm{s}}_{\mathrm{y}}$, effective radius $\sigma$ of the scattering medium, the initial beam’s correlation widths ${\delta }_{\mathrm{x}}$ and ${\delta }_{\mathrm{y}}$, and line width ${\mathrm{\Gamma }}_0$ of the incident spectrum) closely influence the distributions of the normalized scattered spectrum in the far zone. These features of a RCGSM beam scattered spectrum can be used to obtain information about the structure of a deterministic medium.

© 2016 Optical Society of America

Weak scattering of multi-Gaussian Schell-model vortex beams on a deterministic medium

Yuanyuan Zhang and Jianyang Zhou
J. Opt. Soc. Am. B 35(11) 2711-2717 (2018)

Experimental generation of cosine-Gaussian-correlated Schell-model beams with rectangular symmetry

Chunhao Liang, Fei Wang, Xianlong Liu, Yangjian Cai, and Olga Korotkova
Opt. Lett. 39(4) 769-772 (2014)

Scattering of multi-Gaussian Schell-model beams on a random medium

Yuanyuan Zhang and Daomu Zhao
Opt. Express 21(21) 24781-24792 (2013)

Second-order statistics of a radially polarized cosine-Gaussian correlated Schell-model beam in anisotropic turbulence

Jing Wang, Shijun Zhu, Haiyan Wang, Yangjian Cai, and Zhenhua Li
Opt. Express 24(11) 11626-11639 (2016)

Weak scattering of a random electromagnetic source of circular frames upon a deterministic medium

Xun Wang, Zhirong Liu, and Kelin Huang
J. Opt. Soc. Am. B 34(8) 1755-1764 (2017)