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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 6 — Mar. 24, 2014
  • pp: 6495–6510

Argand-plane vorticity singularities in complex scalar optical fields: An experimental study using optical speckle

Freda Rothschild, Alexis I. Bishop, Marcus J. Kitchen, and David M. Paganin  »View Author Affiliations


Optics Express, Vol. 22, Issue 6, pp. 6495-6510 (2014)
http://dx.doi.org/10.1364/OE.22.006495


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Abstract

The Cornu spiral is, in essence, the image resulting from an Argand-plane map associated with monochromatic complex scalar plane waves diffracting from an infinite edge. Argand-plane maps can be useful in the analysis of more general optical fields. We experimentally study particular features of Argand-plane mappings known as “vorticity singularities” that are associated with mapping continuous single-valued complex scalar speckle fields to the Argand plane. Vorticity singularities possess a hierarchy of Argand-plane catastrophes including the fold, cusp and elliptic umbilic. We also confirm their connection to vortices in two-dimensional complex scalar waves. The study of vorticity singularities may also have implications for higher-dimensional fields such as coherence functions and multi-component fields such as vector and spinor fields.

© 2014 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(350.6980) Other areas of optics : Transforms
(110.3175) Imaging systems : Interferometric imaging
(110.4153) Imaging systems : Motion estimation and optical flow
(050.4865) Diffraction and gratings : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: February 3, 2014
Revised Manuscript: March 2, 2014
Manuscript Accepted: March 3, 2014
Published: March 12, 2014

Citation
Freda Rothschild, Alexis I. Bishop, Marcus J. Kitchen, and David M. Paganin, "Argand-plane vorticity singularities in complex scalar optical fields: An experimental study using optical speckle," Opt. Express 22, 6495-6510 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-6-6495


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