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Optics Letters

Optics Letters


  • 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)

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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

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)

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  2. G. P. Karman, M. W. Beijersbergen, A. van Duijl, and J. P. Woerdman, Opt. Lett. 22, 1503 (1997).
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  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).
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  10. G. P. Karman, A. van Duijl, M. W. Beijersbergen, and J. P. Woerdman, Appl. Opt. 36, 8091 (1997).

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