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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 9 — May. 1, 2014
  • pp: 2557–2560

Fractal signatures in the aperiodic Fibonacci grating

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


Optics Letters, Vol. 39, Issue 9, pp. 2557-2560 (2014)
http://dx.doi.org/10.1364/OL.39.002557


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Abstract

The Fibonacci grating (FbG) is an archetypal example of aperiodicity and self-similarity. While aperiodicity distinguishes it from a fractal, self-similarity identifies it with a fractal. Our paper investigates the outcome of these complementary features on the FbG diffraction profile (FbGDP). We find that the FbGDP has unique characteristics (e.g., no reduction in intensity with increasing generations), in addition to fractal signatures (e.g., a non-integer fractal dimension). These make the Fibonacci architecture potentially useful in image forming devices and other emerging technologies.

© 2014 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1220) Diffraction and gratings : Apertures
(290.0290) Scattering : Scattering

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 15, 2014
Revised Manuscript: March 18, 2014
Manuscript Accepted: March 23, 2014
Published: April 17, 2014

Citation
Rupesh Verma, Varsha Banerjee, and Paramasivam Senthilkumaran, "Fractal signatures in the aperiodic Fibonacci grating," Opt. Lett. 39, 2557-2560 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-9-2557


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