Abstract

On the basis of the generalized diffraction integral formula for an ABCD optical system in the spatial domain, a propagation law for the generalized Stokes parameters of a stochastic electromagnetic beam passing through an ABCD optical system is obtained. We describe the Stokes parameters of the source as linear combinations of the elements of the cross-spectral density matrix, and study the changes in the spectral degree of polarization and in the state of the polarization ellipse of a stochastic electromagnetic Gaussian Schell-model beam propagating through a gradient-index fiber with the help of generalized Stokes parameters and the cross-spectral density matrix. The medium has significant effect on the change of the spectral degree of polarization. However, when the correlation coefficients of the source satisfy the relation ${\delta }_{xx}={\delta }_{yy}={\delta }_{xy}={\delta }_{yx}$, the medium does not influence the spectral degree of polarization.

© 2008 Optical Society of America

Changes in the polarization and coherence of a random electromagnetic beam propagating through a misaligned optical system

Xinyue Du and Daomu Zhao
J. Opt. Soc. Am. A 25(3) 773-779 (2008)

Propagation of a random electromagnetic beam through a misaligned optical system in turbulent atmosphere

Yingbin Zhu and Daomu Zhao
J. Opt. Soc. Am. A 25(10) 2408-2414 (2008)

Criterion for keeping completely unpolarized or completely polarized stochastic electromagnetic Gaussian Schell-model beams on propagation

Xinyue Du and Daomu Zhao
Opt. Express 16(20) 16172-16180 (2008)

Propagation of stochastic Gaussian-Schell model array beams in turbulent atmosphere

Yingbin Zhu, Daomu Zhao, and Xinyue Du
Opt. Express 16(22) 18437-18442 (2008)

State of polarization and propagation factor of a stochastic electromagnetic beam in a gradient-index fiber

Shijun Zhu, Lin Liu, Yahong Chen, and Yangjian Cai
J. Opt. Soc. Am. A 30(11) 2306-2313 (2013)