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

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  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).

1997

1991

M. E. R. Walford and J. F. Nye, J. Glaciol. 37, 107 (1991).

1986

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1986).

J. J. Stamnes, Waves in Focal Regions (IOP, Bristol, UK, 1986).

1981

J. J. Stamnes and B. Spjelkavik, Opt. Commun. 40, 81 (1981).

1974

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).

Beijersbergen, M. W.

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

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

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).

Berry, M. V.

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1986).

Bouwmeester, D.

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).

Karman, G. P.

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

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

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).

Nye, J. F.

M. E. R. Walford and J. F. Nye, J. Glaciol. 37, 107 (1991).

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).

J. F. Nye, J. Mod. Opt. 38, 743 (1991).

J. F. Nye, “Unfolding of higher-order wave dislocations,” J. Opt. Soc. Am. A (to be published).

Spjelkavik, B.

J. J. Stamnes and B. Spjelkavik, Opt. Commun. 40, 81 (1981).

Stamnes, J. J.

J. J. Stamnes, Waves in Focal Regions (IOP, Bristol, UK, 1986).

J. J. Stamnes and B. Spjelkavik, Opt. Commun. 40, 81 (1981).

van Duijl, A.

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

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

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).

Walford, M. E. R.

M. E. R. Walford and J. F. Nye, J. Glaciol. 37, 107 (1991).

Woerdman, J. P.

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

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

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).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1986).

Appl. Opt.

J. Glaciol.

M. E. R. Walford and J. F. Nye, J. Glaciol. 37, 107 (1991).

J. Mod. Opt.

J. F. Nye, J. Mod. Opt. 38, 743 (1991).

J. Opt. Soc. Am. A

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).

J. F. Nye, “Unfolding of higher-order wave dislocations,” J. Opt. Soc. Am. A (to be published).

Opt. Commun.

J. J. Stamnes and B. Spjelkavik, Opt. Commun. 40, 81 (1981).

Opt. Lett.

Proc. R. Soc. London Ser. A

J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).

Other

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1986).

J. J. Stamnes, Waves in Focal Regions (IOP, Bristol, UK, 1986).

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