OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 8 — Aug. 1, 2002
  • pp: 1694–1700

Singular behavior of the spectrum in the neighborhood of focus

Greg Gbur, Taco D. Visser, and Emil Wolf  »View Author Affiliations


JOSA A, Vol. 19, Issue 8, pp. 1694-1700 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001694


View Full Text Article

Enhanced HTML    Acrobat PDF (238 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In a recent paper [Phys. Rev. Lett. 88, 013901 (2002)] it was shown that when a convergent spatially coherent polychromatic wave is diffracted at an aperture, remarkable spectral changes take place on axis in the neighborhood of certain points near the geometrical focus. In particular, it was shown that the spectrum is redshifted at some points, blueshifted at others, and split into two lines elsewhere. In the present paper we extend the analysis and show that similar changes take place in the focal plane, in the neighborhood of the dark rings of the Airy pattern.

© 2002 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(260.1960) Physical optics : Diffraction theory
(300.6170) Spectroscopy : Spectra

History
Original Manuscript: January 18, 2002
Manuscript Accepted: March 12, 2002
Published: August 1, 2002

Citation
Greg Gbur, Taco D. Visser, and Emil Wolf, "Singular behavior of the spectrum in the neighborhood of focus," J. Opt. Soc. Am. A 19, 1694-1700 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1694


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A pioneering paper on this subject is due to J. F. Nye, M. V. Berry, “Dislocation in wavetrains,” Proc. R. Soc. London Ser. A 336, 165–190 (1974). [CrossRef]
  2. For a review of singular optics see, for example, M. S. Soskin, M. V. Vasnetsov, “Singular optics,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 2001), Vol. 42, pp. 219–276.
  3. M. V. Berry, A. N. Wilson, “Black-and-white fringes and the colors of caustics,” Appl. Opt. 33, 4714–4718 (1994). [CrossRef] [PubMed]
  4. M. V. Berry, S. Klein, “Colored diffraction catastrophes,” Proc. Natl. Acad. Sci. U.S.A. 93, 2614–2619 (1996). [CrossRef] [PubMed]
  5. G. Gbur, T. D. Visser, E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. 88, 013901 (2002). [CrossRef] [PubMed]
  6. G. Popescu, A. Dogariu, “Spectral anomalies at wave-front dislocations,” Phys. Rev. Lett. 88, 183902 (2002). [CrossRef] [PubMed]
  7. M. Born, E. Wolf, Principles of Optics, 7th (expanded) ed. (Cambridge U. Press, Cambridge, UK, 1999).
  8. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).
  9. V. A. Pas’ko, M. S. Soskin, M. V. Vasnetsov, “Transversal optical vortex,” Opt. Commun. 198, 49–56 (2001). [CrossRef]
  10. The term “intensity” is used in optics with several different meanings. In this paper we mean by it the frequency-integrated spectrum, as indicated in Eq. (27).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited