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Optics Letters

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  • Vol. 28, Iss. 13 — Jul. 1, 2003
  • pp: 1078–1080

Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation

Emil Wolf  »View Author Affiliations


Optics Letters, Vol. 28, Issue 13, pp. 1078-1080 (2003)
http://dx.doi.org/10.1364/OL.28.001078


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Abstract

A method is described, based on a recently formulated unified theory of coherence and polarization, for determining the changes that the degree of polarization, the degree of coherence, and the spectrum of a random electromagnetic beam may undergo as the beam propagates. Propagation in free space as well as in linear media, both deterministic and random, is discussed.

© 2003 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(260.5430) Physical optics : Polarization

Citation
Emil Wolf, "Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation," Opt. Lett. 28, 1078-1080 (2003)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-28-13-1078


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References

  1. D. F. V. James, J. Opt. Soc. Am. A 11, 1641 (1994).
  2. F. Gori, M. Santarsiero, S. Vaclavi, R. Borghi, G. Guattari, Pure Appl. Opt. 7, 941 (1998).
  3. E. Wolf, “Unified theory of coherence and polarization of random electromagnetic beams,” Phys. Rev. Lett. (to be published).
  4. The so-called space-frequency formulation of second-order coherence theory used here is discussed, for example, in Ref. 5, Sec. 4.7.
  5. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  6. Such an expression may also be readily derived in the paraxial approximation from the two Helmholtz equations that the more general 3×3 electric coherence matrix satisfies for propagation in free space (Ref., Sec. 6.6.3).
  7. E. Wolf, Phys. Rev. Lett. 56, 1370 (1986).
  8. For a review of this subject up to 1996, see E. Wolf and D. F. V. James, Rep. Prog. Phys. 59, 771 (1996).
  9. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999), 7th ed.
  10. H. Roychowdhury and E. Wolf, “Determination of the electric cross-spectral density matrix of a random electromagnetic beam,” to be submitted to Opt. Commun.

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