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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 8 — Apr. 9, 2012
  • pp: 8250–8255

Redundancy in Cantor Diffractals

Rupesh Verma, Varsha Banerjee, and Paramasivam Senthilkumaran  »View Author Affiliations


Optics Express, Vol. 20, Issue 8, pp. 8250-8255 (2012)
http://dx.doi.org/10.1364/OE.20.008250


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Abstract

Cantor diffractals are waves that have encountered a Cantor grating. In this paper, we report an important property of Cantor diffractals, namely that of redundancy. We observe that the Fraunhofer diffraction pattern comprises of several bands, each containing complete information about the fractal aperture. This redundancy allows for a faithful reconstruction of the Cantor grating by an inverse Fourier transformation of an arbitrary band.

© 2012 OSA

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1220) Diffraction and gratings : Apertures
(090.0090) Holography : Holography
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 5, 2012
Revised Manuscript: March 1, 2012
Manuscript Accepted: March 1, 2012
Published: March 26, 2012

Citation
Rupesh Verma, Varsha Banerjee, and Paramasivam Senthilkumaran, "Redundancy in Cantor Diffractals," Opt. Express 20, 8250-8255 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-8-8250


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