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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: Franco Gori
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 463–472

Analogies between classical scalar wave fields in any state of spatial coherence and some quantum states of light

Román Castañeda, Gustavo Cañas, and Herbert Vinck-Posada  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 463-472 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000463


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Abstract

The border between the descriptions of the classical optical fields in any state of spatial coherence and the quantum coherence state of light is revisited in the framework of the phase-space representation. Although it is established that such descriptions are not completely equivalent, the exact calculation of the marginal power spectrum leads to new analogies that suggest that some features exclusively attributed to quantum states of light can be also shared by classical optical fields due to their spatial coherence state.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.1670) Coherence and statistical optics : Coherent optical effects

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: September 13, 2011
Revised Manuscript: December 1, 2011
Manuscript Accepted: December 1, 2011
Published: March 15, 2012

Citation
Román Castañeda, Gustavo Cañas, and Herbert Vinck-Posada, "Analogies between classical scalar wave fields in any state of spatial coherence and some quantum states of light," J. Opt. Soc. Am. A 29, 463-472 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-463


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References

  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  2. R. Castañeda and J. Garca-Sucerquia, “Non-approximated numerical modeling of propagation of light in any state of spatial coherence,” Opt. Express 19, 25022–25034 (2011). It contains the complete deduction of equation 1 and the analysis of the main features of the nonparaxial phase-space representation of the optical field. [CrossRef]
  3. R. Castañeda, G. Cañas-Cardona, and J. Garcia-Sucerquia, “Radiant, virtual and dual sources of optical fields in any state of spatial coherence,” J. Opt. Soc. Am. A 27, 1322–1330 (2010). [CrossRef]
  4. R. Castañeda, H. Muñuz-Ossa, and J. Garcia-Sucerquia, “Efficient numerical calculation of interference and diffraction of optical fields in any state of spatial coherence in the phase-space representation,” Appl. Opt. 49, 6063–6071 (2010). [CrossRef]
  5. R. Castañeda, “The optics of spatial coherence wavelets,” in Advances in Imaging and Electron Physics, P. W. Hawkes, ed. (Academic Press, 2010), Vol. 164, pp 29–255.
  6. R. Castañeda, H. Muñoz, and G. Cañas-Cardona, “The structured spatial coherence support,” J. Mod. Opt. 58, 962–972 (2011). [CrossRef]
  7. M. Testorf, B. Hennelly, and J. Ojeda-Castaneda, Phase-Space Optics: Fundamentals and Applications (McGraw-Hill, 2010).
  8. U. Leonhardt, Measuring the Quantum State of Light(Cambridge University, 1997).
  9. M. Born and E. Wolf, Principles of Optics6th ed. (Pergamon Press, 1993).
  10. T. Young, “The Bakerian lecture: Experiments and calculations relative to physical optics,” Phil. Trans. R. Soc. London 94, 1–16 (1804). [CrossRef]
  11. F. M. Grimaldo, Physico-Mathesis de Lumine Coloribus et Iride (Ex Typographia Haeredi Victorij Benatij, Bononiae, 1665).

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