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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. 16, Iss. 8 — Aug. 1, 1999
  • pp: 1970–1973

Interference between two diffraction fields with a common caustic region

Gabriel Martı́nez-Niconoff, Javier Muñoz-Lopez, and Alejandro Cornejo-Rodriguez  »View Author Affiliations


JOSA A, Vol. 16, Issue 8, pp. 1970-1973 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001970


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Abstract

We describe the interference between two caustics of diffraction fields that are generated in a double-curve-shaped-slit interferometer. One of the slits is obtained from the other through a projective mapping in the normal direction. In this way the diffraction fields present the same caustic region because the slit functions have a common evolute. Catastrophe functions are used for describing the optical path length of the rays involved. We show that the phase difference between the diffracted rays can also be considered a catastrophe function, which permits us to describe the geometry of the interference pattern because its singular points correspond to organized regions of the interference pattern. Experimental results are shown.

© 1999 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1960) Diffraction and gratings : Diffraction theory
(080.1510) Geometric optics : Propagation methods
(260.3160) Physical optics : Interference

History
Original Manuscript: November 2, 1998
Revised Manuscript: January 19, 1999
Manuscript Accepted: January 19, 1999
Published: August 1, 1999

Citation
Gabriel Martı́nez-Niconoff, Javier Muñoz-Lopez, and Alejandro Cornejo-Rodriguez, "Interference between two diffraction fields with a common caustic region," J. Opt. Soc. Am. A 16, 1970-1973 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-8-1970

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