OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (239 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. V. Gaponov-Grekhov, M. I. Rabinovich, Nonlinearities in Action (Springer-Verlag, Berlin, 1991), p. 25.
  2. B. J. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Am. 52, 16 (1962). [CrossRef]
  3. Y. A. Kratsov, Y. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, Berlin, 1990), pp. 29–40.
  4. G. Martı́nez-Niconoff, “Interference between caustics of diffraction fields,” Opt. Lett. 23, 750–752 (1998). [CrossRef]
  5. G. Martı́nez-Niconoff, J. Carranza-Gallardo, A. Cornejo-Rodriguez, “Caustics of diffraction fields,” Opt. Commun. 114, 194–198 (1995). [CrossRef]
  6. V. I. Arnold, Singularities of Caustics and Wave Fronts (Kluwer Academic, Dordrecht, The Netherlands, 1990) p. 17.
  7. M. V. Berry, C. Upstill, “Catastrophe optics: morphologies of caustics and their diffraction patterns,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1980), Vol. XVIII, p. 259.
  8. N. Piskunov, Calculo Diferencial e Integral (Mir, Moscow, 1977), p. 216.
  9. R. Gilmore, Catastrophe Theory for Scientists and Engineers (Wiley, New York, 1981), p. 319.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited