English

Fractal Generalized Zone Plates

Optics 2015-05-13 v1

Abstract

The construction of fractal generalized zone plates (FraGZPs) from a set of periodic diffractive optical elements with circular symmetry is proposed. This allows us to increase the number of foci of a conventional fractal zone plate (FraZP), 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 FraGZPs under plane wave illumination are carried out. In addition, some effects on the axial irradiance caused by the variation in area of their transparent rings are shown.

Keywords

Cite

@article{arxiv.0811.0343,
  title  = {Fractal Generalized Zone Plates},
  author = {Omel Mendoza-Yero and Mercedes Fernandez-Alonso and Gladys Minguez-Vega and Jesus Lancis and Vicent Climent and Juan A. Monsoriu},
  journal= {arXiv preprint arXiv:0811.0343},
  year   = {2015}
}

Comments

Submitted to Optics Express, 2008

R2 v1 2026-06-21T11:37:44.027Z