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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1132–1138

Unfolding of higher-order wave dislocations

J. F. Nye  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1132-1138 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001132


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Abstract

Wave dislocation reactions, for example, one dislocation splitting into three, are organized by dislocations of higher order. A reaction can be regarded as an unfolding of a higher-order dislocation, rather as singularities in catastrophe theory unfold into clusters of lower-order ones. The paper lists the forms of the first few higher-order wave dislocations. It shows how the reaction reported by Karman [Opt. Lett. 22, 1503 (1997)], in which an Airy dark ring surrounding a focus splits into three, followed by the annihilation of an inner fourth ring by the central ring, is part of the unfolding of a fourth-order dislocation.

© 1998 Optical Society of America

OCIS Codes
(080.3630) Geometric optics : Lenses
(220.2560) Optical design and fabrication : Propagating methods
(350.7420) Other areas of optics : Waves

History
Original Manuscript: September 3, 1997
Revised Manuscript: December 15, 1997
Manuscript Accepted: December 23, 1997
Published: May 1, 1998

Citation
J. F. Nye, "Unfolding of higher-order wave dislocations," J. Opt. Soc. Am. A 15, 1132-1138 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1132

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