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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 7 — Jul. 1, 2014
  • pp: 1473–1480

Analysis of Fibonacci gratings and their diffraction patterns

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


JOSA A, Vol. 31, Issue 7, pp. 1473-1480 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001473


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Abstract

Aperiodic and fractal optical elements are proving to be promising candidates in image-forming devices. In this paper, we analyze the diffraction patterns of Fibonacci gratings (FbGs), which are prototypical examples of aperiodicity. They exhibit novel characteristics such as redundancy and robustness that keep their imaging characteristics intact even when there is significant loss of information. FbGs also contain fractal signatures and are characterized by a fractal dimension. Our study suggests that aperiodic gratings may be better than their fractal counterparts in technologies based on such architectures. We also identify the demarcating features of aperiodic and fractal diffraction, which have been rather fuzzy in the literature so far.

© 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: March 31, 2014
Manuscript Accepted: May 8, 2014
Published: June 13, 2014

Citation
Rupesh Verma, Manoj Kumar Sharma, Paramasivam Senthilkumaran, and Varsha Banerjee, "Analysis of Fibonacci gratings and their diffraction patterns," J. Opt. Soc. Am. A 31, 1473-1480 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-7-1473

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