Based on the complex Gaussian expansion method for two dimensional rectangular hard-edged aperture, the analytical formulas for the generalized Stokes parameters of random electromagnetic beams through a paraxial ABCD optical system with rectangular hard-edged aperture are derived. With the help of the analytical formulae, the changes in statistical properties of rectangular hard-edge diffracted random electromagnetic beams, such as in the spectral density, in the spectral degree of coherence, in the polarization properties and so on, can be determined. Numerical examples of such changes are presented and discussed.

© 2010 OSA

1. C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998).
2. J. Eillis and A. Dogariu, “Complex degree of mutual polarization,” Opt. Lett. 29, 2205 (2004).
3. O. Korotkova and E. Wolf, “Generalized stokes parameters of random electromagnetic beams,” Opt. Lett. 30(2), 198–200 (2005). [CrossRef] [PubMed]
4. Y. Zhu and D. Zhao, “Generalized Stokes parameters of a stochastic electromagnetic beam propagation through a paraxial ABCD optical system,” J. Opt. Soc. Am. A 25(8), 1944 (2008). [CrossRef]
5. J. Tervo, T. Setälä, A. Roueff, P. Réfrégier, and A. T. Friberg, “Two-point Stokes parameters: interpretation and properties,” Opt. Lett. 34(20), 3074–3076 (2009). [CrossRef] [PubMed]
6. B. Kanseri, S. Rath, and H. C. Kandpal, “Direct determination of the generalized Stokes parameters from the usual Stokes parameters,” Opt. Lett. 34(6), 719–721 (2009). [CrossRef] [PubMed]
7. S. Sahin, “Generalized Stokes parameters in phase space,” Opt. Lett. 35(10), 1704–1706 (2010). [CrossRef] [PubMed]
8. Z. Mei, “Generalized Stokes parameters of three-dimensional stochastic electromagnetic beams,” Opt. Express 18(22), 22826 (2010). [CrossRef] [PubMed]
9. Z. Mei and J. Gu, “Rectangular hard-edged aperture diffracted Laguerre–Gaussian beams,” Appl. Phys. B 99(3), 571–578 (2010). [CrossRef]
10. J. J. Wen and M. A. Breazeale, “A diffracton beam field expressed as the superposition of Gaussian beams,” J. Acoust. Soc. Am. 83(5), 1752 (1988). [CrossRef]
11. 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). [CrossRef] [PubMed]
12. L. Mandel, and E. Wolf, Optical Coherence and Quantum Optics, Cambridge Univ. Press, England, 1995.

Appl. Phys. B

• Z. Mei and J. Gu, “Rectangular hard-edged aperture diffracted Laguerre–Gaussian beams,” Appl. Phys. B 99(3), 571–578 (2010). [CrossRef]

J. Acoust. Soc. Am.

• J. J. Wen and M. A. Breazeale, “A diffracton beam field expressed as the superposition of Gaussian beams,” J. Acoust. Soc. Am. 83(5), 1752 (1988). [CrossRef]

J. Opt. Soc. Am. A

• Y. Zhu and D. Zhao, “Generalized Stokes parameters of a stochastic electromagnetic beam propagation through a paraxial ABCD optical system,” J. Opt. Soc. Am. A 25(8), 1944 (2008). [CrossRef]

Opt. Express

• Z. Mei, “Generalized Stokes parameters of three-dimensional stochastic electromagnetic beams,” Opt. Express 18(22), 22826 (2010). [CrossRef] [PubMed]
• 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). [CrossRef] [PubMed]

Opt. Lett.

• J. Eillis and A. Dogariu, “Complex degree of mutual polarization,” Opt. Lett. 29, 2205 (2004).
• O. Korotkova and E. Wolf, “Generalized stokes parameters of random electromagnetic beams,” Opt. Lett. 30(2), 198–200 (2005). [CrossRef] [PubMed]
• J. Tervo, T. Setälä, A. Roueff, P. Réfrégier, and A. T. Friberg, “Two-point Stokes parameters: interpretation and properties,” Opt. Lett. 34(20), 3074–3076 (2009). [CrossRef] [PubMed]
• B. Kanseri, S. Rath, and H. C. Kandpal, “Direct determination of the generalized Stokes parameters from the usual Stokes parameters,” Opt. Lett. 34(6), 719–721 (2009). [CrossRef] [PubMed]
• S. Sahin, “Generalized Stokes parameters in phase space,” Opt. Lett. 35(10), 1704–1706 (2010). [CrossRef] [PubMed]

Other

• C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, New York, 1998).
• L. Mandel, and E. Wolf, Optical Coherence and Quantum Optics, Cambridge Univ. Press, England, 1995.

Click here to see a list of articles that cite this paper

Related Journal Articles

• Propagation-induced polarization changes in partially coherent optical beams (JOSAA)
• Generalized Stokes parameters of random electromagnetic beams (OL)
• Coherence-induced polarization changes in light beams (OL)
• Effects of astigmatism on spectra, coherence and polarization of stochastic electromagnetic beams passing through an astigmatic optical system (OE)
• Spectral Stokes singularities of stochastic electromagnetic beams (OL)

Related Conference Papers

• Demonstration of a fourth order polarimeter using quadratic nonlinear detection
• Electromagnetic Spatial Coherence Wavelets and Radiometry
• Electromagnetic Spatial Coherence Wavelets and Radiometry
• Electromagnetic Coherence and Pancharatnam--Berry Phase in Young's Interference Experiment
• Propagation of Partially Coherent, Partially Polarized Fields via a Wigner Representation in Direction and Angular Momentum