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
Diffraction and Gratings
Original Manuscript: January 15, 2014
Revised Manuscript: March 18, 2014
Manuscript Accepted: March 23, 2014
Published: April 17, 2014
Rupesh Verma, Varsha Banerjee, and Paramasivam Senthilkumaran, "Fractal signatures in the aperiodic Fibonacci grating," Opt. Lett. 39, 2557-2560 (2014)