Fractal generalized zone plates.

J Opt Soc Am A Opt Image Sci Vis

GROC, Departament de Física, Universitat Jaume I, E12080 Castelló, Spain.

Published: May 2009

AI Article Synopsis

  • A new type of optical device called fractal generalized zone plates is developed, using periodic diffractive elements with circular symmetry to boost the number of focus points compared to traditional fractal zone plates.
  • The research examines how these fractal optical elements focus light not just directly along the optical axis, but also nearby, resulting in derived analytical formulas for the light intensity (irradiance).
  • Numerical simulations are conducted to assess the energy efficiency of these devices when illuminated by a plane wave, showing that changes in the size of their transparent rings affect the axial light intensity.

Article Abstract

The construction of fractal generalized zone plates from a set of periodic diffractive optical elements with circular symmetry is proposed. This allows us, for instance, to increase the number of foci of a conventional fractal zone plate while keeping the self-similarity property within the axial irradiance. The focusing properties of these fractal diffractive optical elements for points not only along but also in the close vicinity of the optical axis are investigated. In both cases analytical expressions for the irradiance are derived. Numerical simulations of the energetic efficiency of fractal generalized zone plates under plane wave illumination are carried out. In addition, some effects on the axial irradiance caused by variations in the area of their transparent rings are shown.

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http://dx.doi.org/10.1364/josaa.26.001161DOI Listing

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