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

Fractal signatures in the aperiodic Fibonacci grating

Rupesh Verma, Varsha Banerjee, and Paramasivam Senthilkumaran
Opt. Lett. 39(9) 2557-2560 (2014)

Robustness of Cantor Diffractals

Rupesh Verma, Manoj Kumar Sharma, Varsha Banerjee, and Paramasivam Senthilkumaran
Opt. Express 21(7) 7951-7956 (2013)

Circular Fibonacci gratings

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Appl. Opt. 50(31) G142-G148 (2011)

Redundancy in Cantor Diffractals

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Opt. Express 20(8) 8250-8255 (2012)

Fresnel diffraction of fractal grating and self-imaging effect

Junhong Wang, Wei Zhang, Yuwei Cui, and Shuyun Teng
Appl. Opt. 53(10) 2105-2111 (2014)