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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 23, Iss. 6 — Mar. 15, 1998
  • pp: 403–405

Unfolding of an unstable singularity point into a ring

G. P. Karman, A. van Duijl, and J. P. Woerdman  »View Author Affiliations


Optics Letters, Vol. 23, Issue 6, pp. 403-405 (1998)
http://dx.doi.org/10.1364/OL.23.000403


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Abstract

It is well known that phase singularities, in general lines in space, are topologically stable features of a wave field. An exception is a pointlike singularity, which is unstable and deforms into a ring or disappears when a small perturbation is applied. Recently, Nye showed how such an event can be understood as an unfolding of a higher-order dislocation [J. Opt. Soc. Am. A (to be published)]. We present an optical implementation of this model and show experimentally that the focal region of a lens contains points of zero intensity on the optical axis that deform into rings when a small amount of spherical aberration is applied to the system.

© 1998 Optical Society of america

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(350.5030) Other areas of optics : Phase
(350.7420) Other areas of optics : Waves

Citation
G. P. Karman, A. van Duijl, and J. P. Woerdman, "Unfolding of an unstable singularity point into a ring," Opt. Lett. 23, 403-405 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-6-403


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References

  1. J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
  2. G. P. Karman, M. W. Beijersbergen, A. van Duijl, and J. P. Woerdman, Opt. Lett. 22, 1503 (1997).
  3. G. P. Karman, M. W. Beijersbergen, A. van Duijl, D. Bouwmeester, and J. P. Woerdman, “Airy pattern reorganization and subwavelength structure in a focus,” J. Opt. Soc. Am. A (to be published).
  4. J. F. Nye, “Unfolding of higher-order wave dislocations,” J. Opt. Soc. Am. A (to be published).
  5. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1986).
  6. J. J. Stamnes, Waves in Focal Regions (IOP, Bristol, UK, 1986).
  7. J. F. Nye, J. Mod. Opt. 38, 743 (1991).
  8. M. E. R. Walford and J. F. Nye, J. Glaciol. 37, 107 (1991).
  9. J. J. Stamnes and B. Spjelkavik, Opt. Commun. 40, 81 (1981).
  10. G. P. Karman, A. van Duijl, M. W. Beijersbergen, and J. P. Woerdman, Appl. Opt. 36, 8091 (1997).

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