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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2749–2757

Irreversible effects of random unitary transformations on coherence properties of partially polarized electromagnetic fields

Philippe Réfrégier and Alfredo Luis  »View Author Affiliations


JOSA A, Vol. 25, Issue 11, pp. 2749-2757 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002749


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Abstract

We demonstrate monotonic, irreversible effects on the entropy, the degree of polarization, and different degrees of coherence when random, energy-preserving unitary transformations are applied to vectorial electromagnetic fields.

© 2008 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(260.5430) Physical optics : Polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: July 9, 2008
Manuscript Accepted: August 14, 2008
Published: October 16, 2008

Citation
Philippe Réfrégier and Alfredo Luis, "Irreversible effects of random unitary transformations on coherence properties of partially polarized electromagnetic fields," J. Opt. Soc. Am. A 25, 2749-2757 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-11-2749


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References

  1. E. Wolf, “Unified theory of coherence and polarization of random electromagnetic beams,” Phys. Lett. A 312, 263-267 (2003). [CrossRef]
  2. J. Tervo, T. Setälä, and A. T. Friberg, “Degree of coherence of electromagnetic fields,” Opt. Express 11, 1137-1142 (2003). [CrossRef] [PubMed]
  3. J. Tervo, T. Setälä, and A. T. Friberg, “Theory of partially coherent electromagnetic fields in the space-frequency domain,” J. Opt. Soc. Am. A 21, 2205-2215 (2004). [CrossRef]
  4. T. Setälä, J. Tervo, and A. T. Friberg, “Complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 328-330 (2004). [CrossRef] [PubMed]
  5. F. Gori, M. Santarsiero, R. Simon, G. Piquero, R. Borghi, and G. Guattari, “Coherent-mode decomposition of partially polarized, partially coherent sources,” J. Opt. Soc. Am. A 20, 78-84 (2003). [CrossRef]
  6. G. S. Agarwal, A. Dogariu, T. D. Visser, and E. Wolf, “Generation of complete coherence in Young's interference experiment with random mutually uncorrelated electromagnetic beams,” Opt. Lett. 30, 120-122 (2005). [CrossRef] [PubMed]
  7. Ph. Réfrégier and F. Goudail, “Invariant degrees of coherence of partially polarized light,” Opt. Express 13, 6051-6060 (2005). [CrossRef] [PubMed]
  8. Ph. Réfrégier, “Mutual information-based degrees of coherence of partially polarized light with Gaussian fluctuations,” Opt. Lett. 30, 3117-3119 (2005). [CrossRef] [PubMed]
  9. Ph. Réfrégier and J. Morio, “Shannon entropy of partially polarized and partially coherent light with Gaussian fluctuations,” J. Opt. Soc. Am. A 23, 3036-3044 (2006). [CrossRef]
  10. F. Gori, M. Santarsiero, R. Borghi, and E. Wolf, “Effect of coherence on the degree of polarization in a Young interference pattern,” Opt. Lett. 31, 688-670 (2006). [CrossRef] [PubMed]
  11. T. Setälä, J. Tervo, and A. T. Friberg, “Stokes parameters and polarization contrasts in Young's interference experiment,” Opt. Lett. 31, 2208-2210 (2006). [CrossRef] [PubMed]
  12. T. Setälä, J. Tervo, and A. T. Friberg, “Contrasts of Stokes parameters in Young's interference experiment and electromagnetic degree of coherence,” Opt. Lett. 31, 2669-2671 (2006). [CrossRef] [PubMed]
  13. F. Gori, M. Santarsiero, and R. Borghi, “Maximizing Young's fringe visibility through reversible optical transformations,” Opt. Lett. 32, 588-590 (2007). [CrossRef] [PubMed]
  14. A. Luis, “Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices,” J. Opt. Soc. Am. A 24, 1063-1068 (2007). [CrossRef]
  15. R. Martinez-Herrero and P. M. Mejías, “Maximum visibility under unitary transformations in two-pinhole interference for electromagnetic fields,” Opt. Lett. 32, 1471-1473 (2007). [CrossRef] [PubMed]
  16. R. Martinez-Herrero and P. M. Mejías, “Relation between degrees of coherence for electromagnetic fields,” Opt. Lett. 32, 1504-1506 (2007). [CrossRef] [PubMed]
  17. T. Shirai and E. Wolf, “Coherence and polarization of electromagnetic beams modulated by random phase screens and their changes on propagation in free space,” J. Opt. Soc. Am. A 21, 1907-1916 (2004). [CrossRef]
  18. P. Réfrégier, “Irreversible effects of random modulation on coherence properties of partially polarized light,” Opt. Lett. 33, 636-638 (2008). [CrossRef] [PubMed]
  19. J. W. Goodman, “Some first-order properties of light waves,” in Statistical Optics (Wiley, 1985), pp. 116-156.
  20. L. Mandel and E. Wolf, “Second-order coherence theory of scalar wavefields,” in Optical Coherence and Quantum Optics (Cambridge U. Press, 1995), pp. 160-170.
  21. R. Barakat, “N-fold polarization measures and associated thermodynamic entropy of N partially coherent pencils of radiation,” Opt. Acta 30, 1171-1182 (1983). [CrossRef]
  22. A. Renyi, “On the measures of entropy and information,” in Proceedings of the 4th Berkeley Symposium on Mathematics and Staticstical Probability (University of California Press, 1961), Vol. 1, pp. 547-561.
  23. Ph. Réfrégier, F. Goudail, P. Chavel, and A. Friberg, “Entropy of partially polarized light and application to statistical processing techniques,” J. Opt. Soc. Am. A 21, 2124-2134 (2004). [CrossRef]
  24. T. M. Cover and J. A. Thomas, “Entropy, relative entropy and mutual information,” in Elements of Information Theory (Wiley-Interscience, 1991), pp. 18-26.
  25. A. Luis, “Maximum visibility in interferometers illuminated by vectorial waves,” Opt. Lett. 32, 2191-2193 (2007). [CrossRef] [PubMed]
  26. Ph. Réfrégier and A. Roueff, “Visibility interference fringes optimization on a single beam in the case of partially polarized and partially coherent light,” Opt. Lett. 32, 1366-1368 (2007). [CrossRef] [PubMed]
  27. C. Brosseau, “Polarization and the radiation field,” in Fundamentals of Polarized Light--A Statistical Approach (Wiley, 1998), pp. 67-176.

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