Andrew M. Weiner, Editor-in-Chief
Department of Physics, Huzhou Teachers College, Huzhou 313000, China
*Corresponding author: email@example.com
The generalized Stokes parameters of 2D stochastic electromagnetic beams are developed to the 3D case, which can be addressed as certain linear combinations of the 3 × 3 cross-spectral density matrix in terms of the nine Gell-Mann matrices. Using the electromagnetic Gaussian Shell-model source as an example, we investigate their precise propagation laws of coherence properties and polarization properties with the help of the 3D generalized Stokes parameters. Some numerical examples and detailed comparisons of the obtained results with the 2D case are made. It is shown that 3D generalized Stokes parameters are required for the exact description of stochastic electromagnetic beams.
©2010 Optical Society of America
Olga Korotkova and Emil Wolf
Opt. Lett. 30(2) 198-200 (2005)
Opt. Express 18(26) 27105-27111 (2010)
Yingbin Zhu and Daomu Zhao
J. Opt. Soc. Am. A 25(8) 1944-1948 (2008)
Shijun Zhu, Lin Liu, Yahong Chen, and Yangjian Cai
J. Opt. Soc. Am. A 30(11) 2306-2313 (2013)
Min Yao, Italo Toselli, and Olga Korotkova
Opt. Express 22(26) 31608-31619 (2014)
T. Setälä, K. Lindfors, and A. T. Friberg, “Degree of polarization in 3D optical fields generated from a partially polarized plane wave,” Opt. Lett. 34(21), 3394–3396 (2009).
A. Luis, “Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices,” J. Opt. Soc. Am. A 24(4), 1063–1068 (2007).
X. Du, D. Zhao, and O. Korotkova, “Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere,” Opt. Express 15(25), 16909–16915 (2007).
A. Luis, “Degree of polarization for three-dimensional fields as a distance between correlation matrices,” Opt. Commun. 253(1-3), 10–14 (2005).
A. Luis, “Polarization distribution and degree of polarization for three-dimensional quantum light fields,” Phys. Rev. A 71(6), 063815 (2005).
O. Korotkova and E. Wolf, “Generalized stokes parameters of random electromagnetic beams,” Opt. Lett. 30(2), 198–200 (2005).
K. Duan and B. Lü, “Partially coherent vectorial nonparaxial beams,” J. Opt. Soc. Am. A 21(10), 1924–1932 (2004).
J. Tervo, T. Setälä, and A. T. Friberg, “Degree of coherence for electromagnetic fields,” Opt. Express 11(10), 1137–1143 (2003).
E. Wolf, “Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation,” Opt. Lett. 28(13), 1078–1080 (2003).
T. Setälä, M. Kaivola, and A. T. Friberg, “Degree of polarization in near fields of thermal sources: effects of surface waves,” Phys. Rev. Lett. 88(12), 123902 (2002).
L. Mandel and E. Wolf, “Spectral coherence and concept of cross-spectral purity,” J. Opt. Soc. Am. 66(6), 529 (1976).
F. Zernike, “The concept of degree of coherence and its application to optical problems,” Physica (Utrecht) 5(8), 785–795 (1938).
C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998).
OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.
Alert me when this article is cited.
Click here to see a list of articles that cite this paper
The spectral density of a stochastic electromagnetic beam in the plane z = 15zR
, The source is assumed to be a Gaussian Shell-model source with Ax
= 1.5, Ay
= 1, Bxy
= 0.3exp(iπ/6), Byx
= 0.3exp(-iπ/6), (a) f
1 = f
2 = 0.005, fxx
= 0.015, (b) f
1 = f
2 = 0.2, fxx
Download Full Size | PPT Slide | PDF
The contour graphs of the spectral densityof a stochastic electromagnetic beam in the plane z = 15zR
. The source parameters are the same as in Fig. 1(b). (a) S
, (b) S
The changes in the spectral degree of coherence along z-axis direction of a stochastic electromagnetic Gaussian Schell-model beam. The source parameters are the same as in Fig. 1 except for fxy
. Pairs of field point
(a) and (b) are the changes in the spectral degree P of polarization along z-axis direction of a stochastic electromagnetic Gaussian Schell-model beam, (c) and (d) are the transverse distribution of P in the plane z = 15zR
. The source parameters are the same as in Fig. 1 except for fαβ
showed in figures, (a) and (c) fxx
= 0.015, (b) and (d) fxx
There-dimensional distributions of spectral degree of polarization P
2D and corresponding contour graphs of a stochastic electromagnetic beam in the plane z = 15zR
and the other source parameters are the same as in Fig. 4(d).
As Fig. 5 but for P
3D, (a) Ax
= 1.5, Ay
= 1; (b) Ax
= 1, Ay
= 1; (c) Ax
= 1, Ay
Equations on this page are rendered with MathJax. Learn more.