Experimental Measurement of the Generalized Stokes Parameters of a Radially Polarized Random Electromagnetic Beam
- 1 Fujian Provincial Key Laboratory of Light Propagation and Transformation, Huaqiao University, Xiamen, China
- 2 Fujian Provincial Key Laboratory of Light Propagation and Transformation, Huaqiao University, Xiamen, China
- 3 Fujian Provincial Key Laboratory of Light Propagation and Transformation, Huaqiao University, Xiamen, China
- 4 Key Laboratory of Computational Physics, Yibin University, Yibin, China
Abstract
Utilizing the Young’s double slits and Mach-Zehnder interferometer, we proposed an experimental method to measure the generalized Stokes parameters of a radially polarized random electromagnetic beam. After the partially coherent beam propagating through the Young’s double slits, the interference fringe is obtained by the help of a Mach-Zehnder interferometer consisting of apertures, quarter-wave plates and polarizers. The electric cross-spectral density matrix is detected by the coherence degree of interference fringe and the density of each single slit. The generalized Stokes parameters can be obtained from the electric cross-spectral density matrix. This experiment measures the generalized Stokes parameters of the random electromagnetic beam successfully. The results show that the spectral degree of coherence for copolarized cases ( xx and yy ) is similar with that for cross-polaried cases ( xy and yx ) for the radially polarized random electromagnetic beam. This method will help us determine the change of the polarization and coherence of the light in propagation by detecting the change of the generalized Stokes parameters.
- Wolf, E. (2003) Unified Theory of Coherence and Polarization of Random Electromagnetic Beams. Physics Letters A, 312, 263-267. http://dx.doi.org/10.1016/S0375-9601(03)00684-4
- Wolf, E. (2003) Correlation-Induced Changes in the Degree of Polarization, the Degree of Coherence, and the Spectrum of Random Electromagnetic Beams on Propagation. Optics Letters, 28, 1078-1080. http://dx.doi.org/10.1364/OL.28.001078
- Agrawal, G.P. and Wolf, E. (2009) Propagation-Induced Polarization Changes Impartially Coherent Optical Beams. Optical Society of America A, 17, 2019. http://dx.doi.org/10.1364/JOSAA.17.002019
- Wolf, E. (2007) Introduction to Theory of Coherence and Polarization of Light. Cambridge University Press, Cambridge.
- Roychowdlhury, H. and Wolf, E. (2003) Determination of the Electric Cross-Spectral Density Matrix of a Random Electromagnetic Beam. Optics Communications, 226, 57-60. http://dx.doi.org/10.1016/j.optcom.2003.07.054
- Korotkova, O. and Wolf, E. (2005) Generalized Stokes Parameters of Random Electromagnetic Beams. Optics Letters, 30, 198-200. http://dx.doi.org/10.1364/OL.30.000198
- Kanseri, B. and Kamdpal, H.C. (2008) Experimental Determination of Electric Cross-Spectral Density Matrix and Generalized Stokes Parameters for a Laser Beam. Optics Letters, 33, 2410-2412. http://dx.doi.org/10.1364/OL.33.002410
- Kanseri, B., Rath, S. and Kandpal, H.C. (2009) Direct Determination of the Generalized Stokes Parameters from the Usual Stokes Parameters. Optics Letters, 34,719-721. http://dx.doi.org/10.1364/OL.34.000719
- Dorn, R., Quabis, S. and Leuchs, G. (2003) Sharper Focus for a Radially Polarized Light Beam. Physical Review Letters, 91, 233901. http://dx.doi.org/10.1103/PhysRevLett.91.233901
- Lin, H., Jia, B.H. and Gu, M. (2011) Generation of an Axially Super-Resolved Quasi-Spherical Focal Spot Using an Amplitude-Modulated Radially Polarized Beam. Optics Letters, 36, 2471-2473. http://dx.doi.org/10.1364/OL.36.002471
- Zhang, Y., Ding, B. and Taikei, S. (2010) Trapping Two Types of Particles Using a Double-Ring-Shaped Radially Polarized Beam. Physical Review A, 81, 023831. http://dx.doi.org/10.1103/PhysRevA.81.023831
- Yan, S. and Yao, B. (2007) Radiation Forces of a Highly Focused Radially Polarized Beam on Spherical Particles. Physical Review A, 76, 053836. http://dx.doi.org/10.1103/PhysRevA.76.053836