Research Article
Year 2023,
Volume: 27 Issue: 3, 670 - 679, 30.06.2023
Abstract
References
- E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Physical Review, vol. 40, no. 5, pp. 749-759, 1932.
- M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” Journal of the Optical Society of America A, vol. 3, no. 8, pp. 1227-1238, 1986.
- S. B. Mehta, C. J. R. Sheppard, “Partially coherent microscope in phase space,” Journal of the Optical Society of America. A, Optics, image science, and vision, vol. 35, no. 8, pp. 1272-1282, 2018.
- D. Dragoman, “Applications of the Wigner distribution function in signal processing,” EURASIP Journal on Advances in Signal Processing, vol. 10, pp. 1520–1534, 2005.
- D. Mendlovic, Z. Zalevsky, H. M. Ozaktas, “Wigner-related phase spaces for signal processing and their optical implementation,” Journal of the Optical Society of America A; vol. 17, no. 12, pp. 2339-2354, 2000.
- D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform,” Applied Optics, vol. 33, no. 26, pp. 6188-6193, 1994.
- K. A. Sharma, T. G. Brown, M. A. Alonso, “Phase-space approach to lensless measurements of optical field correlations,” Optics Express, vol. 24, no. 14, pp. 16099-16110, 2016.
- A. Walther, “Radiometry and coherence,” Journal of the Optical Society of America, vol. 58, no. 9, pp. 1256-1259, 1968.
- S. Sahin, M. Zhang, Y. Chen, Y. Cai, “Transmission of a polychromatic electromagnetic multi-Gaussian Schellmodel beam in an inhomogeneous gradient-index fiber,” Journal of the Optical Society of America A, vol. 35, no. 9, pp. 1604-1611, 2018.
- O. Korotkova, L. C. Andrews, R. L. Phillips, “Model for a partially coherent Gaussian beam in atmospheric turbulence with application in Lasercom,” Optical Engineering, vol. 43, no. 2, pp. 330-341, 2004.
- J. C. Ricklin, F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” Journal of the Optical Society of America A, vol. 19, no. 9, pp. 1794-1802, 2002.
- E. Wolf, “Introduction to the Theory of Coherence and Polarization of Light,” 1st. Edition, Cambridge, UK: Cambridge University Press, 2007.
- S. Sahin, “Generalized Stokes parameters in phase space,” Optics Letters, vol. 35, no. 10, pp. 1704-1706, 2010.
- S. Cho, J. C. Petruccelli, M. A. Alonso, “Wigner functions for paraxial and nonparaxial fields,” Journal of Modern Optics, vol. 56, no. 17, pp. 1843-1852, 2009.
- M. Testorf, B. Hennelly, J. Ojeda-Castaneda, “Phase-Space Optics: Fundamentals and Applications,” 1st. Edition, New York, US: The McGraw-Hill companies, 2010.
- F. Gori, M. Santarsiero, R. Borghi, V. Ramirez-Sanchez, “Realizability condition for electromagnetic Schell-model sources,” Journal of the Optical Society of America A, vol. 25, no. 5, pp. 1016-1021, 2008.
- H. Mao, Y. Chen, C. Liang, L. Chen, Y. Cai, S. A. Ponomarenko, “Self-steering partially coherent vector beams,” Optics Express; vol. 27, no. 10, pp. 14353-14368, 2019.
- T. Ari, A. T. Friberg, “Phase-space methods for partially coherent wavefields,” in AIP Conference Proceedings, Ensenada, Mexico, 1980, pp. 313-331.
- A. Wax, J. E. Thomas, “Optical heterodyne imaging and Wigner phase space distributions,” Optics Letters, vol. 21, no. 18, pp. 1427-1429, 1996.
- A. C´amara, J. A. Rodrigo, T. Alieva, “Optical coherenscopy based on phase-space tomography,” Optics Express, vol. 21, no. 11, 13169-13183, 2013.
The Effect of Anisotropic Gaussian Schell-Model Sources in Generalized Phase Space Stokes Parameters
Abstract
Phase-space transforms describe spatial and angular information about light sources where one example is the Wigner functions in wave optics. Stokes parameters, on the other hand, supply information about the polarization of light beams. The generalized phase space Stokes parameters of 2D stochastic electromagnetic beams are already developed. In this article, the application of anisotropic light sources in generalized phase space Stokes parameters is theoretically investigated and numerically analyzed. There are several different ways of studying electromagnetic light beams depending on the spatial domain. But, most measure of the polarization of random light fields is carried out within the Stokes parameters context. In this account we study the electromagnetism, Stokes parameters, phase space, and the anisotropy properties of random light beams at once. We find here that when an anisotropy introduced in phase space then the cross terms of the Wigner matrix depart from the diagonal terms, which is not the same in configuration space. As a result, anisotropy has a different effect in Phase space, i.e. an anisotropic source introduces a phase and a variance change only in the cross terms of Wigner matrix. This is due to the use of anisotropy in the shifted kernel of Wigner transform.
References
- E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Physical Review, vol. 40, no. 5, pp. 749-759, 1932.
- M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” Journal of the Optical Society of America A, vol. 3, no. 8, pp. 1227-1238, 1986.
- S. B. Mehta, C. J. R. Sheppard, “Partially coherent microscope in phase space,” Journal of the Optical Society of America. A, Optics, image science, and vision, vol. 35, no. 8, pp. 1272-1282, 2018.
- D. Dragoman, “Applications of the Wigner distribution function in signal processing,” EURASIP Journal on Advances in Signal Processing, vol. 10, pp. 1520–1534, 2005.
- D. Mendlovic, Z. Zalevsky, H. M. Ozaktas, “Wigner-related phase spaces for signal processing and their optical implementation,” Journal of the Optical Society of America A; vol. 17, no. 12, pp. 2339-2354, 2000.
- D. Mendlovic, H. M. Ozaktas, A. W. Lohmann, “Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform,” Applied Optics, vol. 33, no. 26, pp. 6188-6193, 1994.
- K. A. Sharma, T. G. Brown, M. A. Alonso, “Phase-space approach to lensless measurements of optical field correlations,” Optics Express, vol. 24, no. 14, pp. 16099-16110, 2016.
- A. Walther, “Radiometry and coherence,” Journal of the Optical Society of America, vol. 58, no. 9, pp. 1256-1259, 1968.
- S. Sahin, M. Zhang, Y. Chen, Y. Cai, “Transmission of a polychromatic electromagnetic multi-Gaussian Schellmodel beam in an inhomogeneous gradient-index fiber,” Journal of the Optical Society of America A, vol. 35, no. 9, pp. 1604-1611, 2018.
- O. Korotkova, L. C. Andrews, R. L. Phillips, “Model for a partially coherent Gaussian beam in atmospheric turbulence with application in Lasercom,” Optical Engineering, vol. 43, no. 2, pp. 330-341, 2004.
- J. C. Ricklin, F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” Journal of the Optical Society of America A, vol. 19, no. 9, pp. 1794-1802, 2002.
- E. Wolf, “Introduction to the Theory of Coherence and Polarization of Light,” 1st. Edition, Cambridge, UK: Cambridge University Press, 2007.
- S. Sahin, “Generalized Stokes parameters in phase space,” Optics Letters, vol. 35, no. 10, pp. 1704-1706, 2010.
- S. Cho, J. C. Petruccelli, M. A. Alonso, “Wigner functions for paraxial and nonparaxial fields,” Journal of Modern Optics, vol. 56, no. 17, pp. 1843-1852, 2009.
- M. Testorf, B. Hennelly, J. Ojeda-Castaneda, “Phase-Space Optics: Fundamentals and Applications,” 1st. Edition, New York, US: The McGraw-Hill companies, 2010.
- F. Gori, M. Santarsiero, R. Borghi, V. Ramirez-Sanchez, “Realizability condition for electromagnetic Schell-model sources,” Journal of the Optical Society of America A, vol. 25, no. 5, pp. 1016-1021, 2008.
- H. Mao, Y. Chen, C. Liang, L. Chen, Y. Cai, S. A. Ponomarenko, “Self-steering partially coherent vector beams,” Optics Express; vol. 27, no. 10, pp. 14353-14368, 2019.
- T. Ari, A. T. Friberg, “Phase-space methods for partially coherent wavefields,” in AIP Conference Proceedings, Ensenada, Mexico, 1980, pp. 313-331.
- A. Wax, J. E. Thomas, “Optical heterodyne imaging and Wigner phase space distributions,” Optics Letters, vol. 21, no. 18, pp. 1427-1429, 1996.
- A. C´amara, J. A. Rodrigo, T. Alieva, “Optical coherenscopy based on phase-space tomography,” Optics Express, vol. 21, no. 11, 13169-13183, 2013.
There are 20 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Metrology, Applied and Industrial Physics |
| Journal Section | Research Articles |
| Authors | |
| Early Pub Date | June 22, 2023 |
| Publication Date | June 30, 2023 |
| Submission Date | August 13, 2022 |
| Acceptance Date | April 2, 2023 |
| Published in Issue | Year 2023 Volume: 27 Issue: 3 |
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