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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 5 — Mar. 1, 2012
  • pp: 963–965

Statistical similarity and cross-spectral purity of stationary stochastic fields

Mayukh Lahiri and Emil Wolf  »View Author Affiliations


Optics Letters, Vol. 37, Issue 5, pp. 963-965 (2012)
http://dx.doi.org/10.1364/OL.37.000963


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Abstract

In practical situations, one often generates a beam by superposition of two or more light beams. The beam generated by superposition displays, in general, different spectral properties than do the original beams. However, there are some optical beams, called cross-spectrally pure beams, which can generate a light beam of identical spectral distribution on superposition. The relationship between cross-spectral purity and spatial coherence has been the subject of investigations for some time. Recently, a concept of so-called statistical similarity has been introduced which provides a new way to elucidate complete spatial coherence. In this Letter, we discuss some implications of statistical similarity of an optical field on its cross-spectral purity.

© 2012 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(260.0260) Physical optics : Physical optics

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: September 28, 2011
Manuscript Accepted: December 22, 2011
Published: February 29, 2012

Citation
Mayukh Lahiri and Emil Wolf, "Statistical similarity and cross-spectral purity of stationary stochastic fields," Opt. Lett. 37, 963-965 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-5-963


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References

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  8. The concept of “statistical similarity” originated in the work of Verdet [12,13], who estimated the size of the region on Earth’s surface throughout which vibrations of sunlight fluctuate in unison. His result is in agreement with the order of magnitude of coherence-area of sunlight on the Earth’s surface, as estimated by modern coherence theory [14].
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  12. E. Verdet, Leçons d’Optique Physique, Vol. 1 (L’Imprimierie Impériale, 1869).
  13. E. Verdet, Annales Scientifiques de l’E.N.S. 2, 291 (1865).
  14. G. S. Agarwal, G. Gbur, and E. Wolf, Opt. Lett. 29, 459 (2004). [CrossRef]

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