Optical diffraction fields have in general a spatial complex structure and some times can generate focusing regions, in this work we describe the focusing region associated with highly symmetric transmittances, analyzing its associated phase function. We show that generic features can be studied from a differential equation for a focusing geometry, which is obtained through angular representation for diffraction fields, according to the choice of the parameters involved, the diffraction field presents a new focusing region whose geometry and spatial evolution can be described with the only analysis of the phase singularities avoiding the integral representation.

Date Published: 26 September 2013
PDF: 9 pages
Proc. SPIE 8855, Optics and Photonics for Information Processing VII, 88550W (26 September 2013); doi: 10.1117/12.2024337

Published in SPIE Proceedings Vol. 8855:
Optics and Photonics for Information Processing VII
Khan M. Iftekharuddin; Abdul A. S. Awwal; Andrés Márquez, Editor(s)