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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 2 — Feb. 1, 2011
  • pp: 210–213

Self-similar focusing with generalized devil’s lenses

Cristina Casanova, Walter D. Furlan, Laura Remón, Arnau Calatayud, Juan A. Monsoriu, and Omel Mendoza-Yero  »View Author Affiliations

JOSA A, Vol. 28, Issue 2, pp. 210-213 (2011)

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We introduce the generalized devil’s lenses (GDLs) as a new family of diffractive kinoform lenses whose structure is based on the generalized Cantor set. The focusing properties of different members of this family are analyzed. It is shown that under plane wave illumination the GDLs give a single main focus surrounded by many subsidiary foci. It is shown that the total number of subsidiary foci is higher than the number of foci corresponding to conventional devil’s lenses; however, the self-similar behavior of the axial irradiance is preserved to some extent.

© 2011 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1965) Diffraction and gratings : Diffractive lenses

ToC Category:
Diffraction and Gratings

Original Manuscript: September 28, 2010
Manuscript Accepted: November 21, 2010
Published: January 26, 2011

Cristina Casanova, Walter D. Furlan, Laura Remón, Arnau Calatayud, Juan A. Monsoriu, and Omel Mendoza-Yero, "Self-similar focusing with generalized devil’s lenses," J. Opt. Soc. Am. A 28, 210-213 (2011)

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