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
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)