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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 11 — Nov. 1, 2004
  • pp: 2097–2102

Spatial correlation properties of focused partially coherent light

David G. Fischer and Taco D. Visser  »View Author Affiliations

JOSA A, Vol. 21, Issue 11, pp. 2097-2102 (2004)

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We investigate the spatial coherence properties in the focal region of a converging, spatially partially coherent wave field. In particular, we find that, depending on the effective coherence length of the field in the aperture, the longitudinal and transverse coherence lengths in the focal region can be either larger or smaller than the corresponding width of the intensity distribution. Also, the correlation function is shown to exhibit phase singularities.

© 2004 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory

David G. Fischer and Taco D. Visser, "Spatial correlation properties of focused partially coherent light," J. Opt. Soc. Am. A 21, 2097-2102 (2004)

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  1. W. Wang, A. T. Friberg, E. Wolf, “Focusing of partially coherent light in systems of large Fresnel number,” J. Opt. Soc. Am. A 14, 491–496 (1997). [CrossRef]
  2. A. T. Friberg, T. D. Visser, W. Wang, E. Wolf, “Focal shifts of converging diffracted waves of any state of spatial coherence,” Opt. Commun. 196, 1–7 (2001). [CrossRef]
  3. B. Lü, B. Zhang, B. Cai, “Focusing of a Gaussian Schell-model beam through a circular lens,” J. Mod. Opt. 42, 289–298 (1995). [CrossRef]
  4. T. D. Visser, G. Gbur, E. Wolf, “Effect of the state of coherence on the three-dimensional spectral intensity distribution near focus,” Opt. Commun. 213, 13–19 (2002). [CrossRef]
  5. M. Born, E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, Cambridge, UK, 1999).
  6. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
  7. M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1965), Sec. 9.6.16.
  8. H. F. Schouten, G. Gbur, T. D. Visser, E. Wolf, “Phase singularities of the coherence functions in Young’s interference pattern,” Opt. Lett. 28, 968–970 (2003). [CrossRef] [PubMed]
  9. G. Gbur, T. D. Visser, “Coherence vortices in partially coherent beams,” Opt. Commun. 222, 117–125 (2003). [CrossRef]
  10. G. Gbur, T. D. Visser, E. Wolf, “Hidden’ singularities in partially coherent wavefields,” J. Opt. A Pure Appl. Opt. 6, 5239–5242 (2004). [CrossRef]

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