Diffraction from fractal grating Cantor sets

Abstract

In this paper, we have generalized the F^α-calculus by suggesting Fourier and Laplace transformations of the function with support of the fractals set which are the subset of the real line. Using this generalization, we have found the diffraction fringes from the fractal grating Cantor sets.

Keywords:

• Fractal calculus
• fractal Fourier transformation
• fractal Fourier series
• fractal Laplace transformation
• fractal grating
• Cantor sets

Notes

No potential conflict of interest was reported by the authors.