Optical Memory and Neural Networks

, Volume 27, Issue 1, pp 1–9 | Cite as

Fractal Cylindrical Fracxicon

  • S. N. Khonina
  • S. G. Volotovskiy


The paper presents the results of a numerical study of a new optical element–the fractal fracxicon. The fracxicon is an element whose phase function is a fractional power of spatial coordinates. With the power of phase function being less than two (sub-linearly chirped), a fracxicon corresponds to a fractional axicon and provides self-focusing features similar to mirror/specular Airy beams. When the power is greater than two (super-linearly chirped), a fracxicon corresponds to a generalized lens and provides self-focusing, which is faster and sharper than a lens provides. A fractal fracxicon generates beams that exhibit such properties as self-similarity and self-focusing. This type of optical elements can be used as versatile tools in the field of optical micromanipulation and data encoding.


fractals fractional axicon generalized lens fracxicon chirping self-focusing fractional Fourier transform 


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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.IPSI RAS, Branch of the FSRC “Crystallography and Photonics” RASSamaraRussia

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