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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 15 — Aug. 1, 2012
  • pp: 3183–3185

Propagation of cross-spectral densities from spherical sources

R. Borghi, F. Gori, O. Korotkova, and M. Santarsiero  »View Author Affiliations

Optics Letters, Vol. 37, Issue 15, pp. 3183-3185 (2012)

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We show that the cross-spectral density in the far zone of a homogeneous spherical source can be described as a low-pass filtered version of that existing across the source surface. We prove that, to an excellent approximation, the corresponding filter with respect to a (normalized) spatial frequency ξ has a functional structure of the form 1ξ2, for 0ξ1. The cases of spatially incoherent and Lambertian sources are treated as significant examples.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Coherence and Statistical Optics

Original Manuscript: June 14, 2012
Manuscript Accepted: June 26, 2012
Published: July 25, 2012

R. Borghi, F. Gori, O. Korotkova, and M. Santarsiero, "Propagation of cross-spectral densities from spherical sources," Opt. Lett. 37, 3183-3185 (2012)

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  1. G. S. Agarwal, G. Gbur, and E. Wolf, Opt. Lett. 29, 459 (2004). [CrossRef]
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  3. Digital Library of Mathematical Functions. Release date 2012-03-23. National Institute of Standards and Technology, from http://dlmf.nist.gov/ .
  4. F. Gori, Opt. Lett. 30, 2840 (2005). [CrossRef]
  5. F. Gori and O. Korotkova, Opt. Commun. 282, 3859 (2009). [CrossRef]
  6. I. S. Gradshteyn and I. M. Rhyzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, 1994).
  7. C. M. Bender and S. A. Orszag, Advanced Mathematical Method for Scientists and Engineers (McGraw-Hill, 1978).
  8. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1984).
  9. T. Setälä, J. Lindberg, K. Blomstedt, J. Tervo, and A. Friberg, Phys. Rev. E 71, 036618 (2005). [CrossRef]

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Fig. 1. Fig. 2.

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