Fractal signatures in the aperiodic Fibonacci grating

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 fi...

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Bibliographic Details
Published inOptics letters Vol. 39; no. 9; p. 2557
Main Authors Verma, Rupesh, Banerjee, Varsha, Senthilkumaran, Paramasivam
Format Journal Article
LanguageEnglish
Published United States 01.05.2014
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Summary: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.
ISSN:1539-4794
DOI:10.1364/OL.39.002557