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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 13 — Jul. 1, 2013
  • pp: 2301–2303

Van Cittert–Zernike theorem with Stokes parameters

Jani Tervo, Tero Setälä, Jari Turunen, and Ari T. Friberg  »View Author Affiliations

Optics Letters, Vol. 38, Issue 13, pp. 2301-2303 (2013)

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We formulate the van Cittert–Zernike theorem for spatially incoherent partially polarized sources in terms of the traditional polarization (one-point) Stokes parameters and the coherence (two-point) Stokes parameters. This leads to a physically insightful connection between the source polarization and the field coherence. We show that the far-zone coherence is given by a Fourier relation of the source-plane polarization and apply the results to investigate the far-zone properties of a field emitted by an incoherent source limited by an annular aperture.

© 2013 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1220) Diffraction and gratings : Apertures
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: April 23, 2013
Manuscript Accepted: May 20, 2013
Published: June 26, 2013

Jani Tervo, Tero Setälä, Jari Turunen, and Ari T. Friberg, "Van Cittert–Zernike theorem with Stokes parameters," Opt. Lett. 38, 2301-2303 (2013)

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  1. P. H. van Cittert, Physica 1, 201 (1934). [CrossRef]
  2. F. Zernike, Physica 5, 785 (1938). [CrossRef]
  3. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  4. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).
  5. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, and B. J. Thompson, The New Physical Optics Notebook: Tutorials in Fourier Optics (SPIE, 1989).
  6. J. C. Leader, J. Opt. Soc. Am. 68, 1332 (1978). [CrossRef]
  7. A. D. Jacobson, IEEE Trans. Antennas Propag. 15, 24 (1967). [CrossRef]
  8. F. Gori, M. Santarsiero, R. Borghi, and G. Piquero, Opt. Lett. 25, 1291 (2000). [CrossRef]
  9. M. A. Alonso, O. Korotkova, and E. Wolf, J. Mod. Opt. 53, 969 (2006). [CrossRef]
  10. A. S. Ostrovsky, G. Martínez-Niconoff, P. Martínez-Vara, and M. A. Olvera-Santamaría, Opt. Express 17, 1746 (2009). [CrossRef]
  11. T. Shirai, Opt. Lett. 34, 3761 (2009). [CrossRef]
  12. O. G. Rodríguez-Herrera and J. S. Tyo, J. Opt. Soc. Am. A 29, 1939 (2012). [CrossRef]
  13. O. Korotkova and E. Wolf, Opt. Lett. 30, 198 (2005). [CrossRef]
  14. J. Tervo, T. Setälä, and A. T. Friberg, Opt. Express 11, 1137 (2003). [CrossRef]
  15. T. Setälä, J. Tervo, and A. T. Friberg, Opt. Lett. 29, 328 (2004). [CrossRef]
  16. J. Tervo, T. Setälä, and A. T. Friberg, J. Opt. Soc. Am. A 21, 2205 (2004). [CrossRef]
  17. T. Setälä, J. Tervo, and A. T. Friberg, Opt. Lett. 31, 2208 (2006). [CrossRef]
  18. T. Setälä, J. Tervo, and A. T. Friberg, Opt. Lett. 31, 2669 (2006). [CrossRef]
  19. T. Setälä, F. Nunziata, and A. T. Friberg, Opt. Lett. 34, 2924 (2009). [CrossRef]
  20. M. Santarsiero, V. Ramírez-Sanchez, and R. Borghi, J. Opt. Soc. Am. A 27, 1450 (2010). [CrossRef]
  21. S. B. Saghunathan, T. van Dijk, E. J. G. Peterman, and T. D. Visser, Opt. Lett. 35, 4166 (2010). [CrossRef]

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Fig. 1. Fig. 2.

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