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Diffraction from fractal grating Cantor sets

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Date

2016

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Taylor&Francis LTD

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Abstract

In this paper, we have generalized the Fa-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.

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Keywords

Fractal Calculus, Fractal Fourier Transformation, Fractal Fourier Series, Fractal Laplace Transformation, Fractal Grating, Cantor Sets

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Citation

Golmankhaneh, Alireza K.; Baleanu, D., "Diffraction from fractal grating Cantor sets", Journal of Modern Optics, Vol. 64, No. 14, pp. 1364-1369, (2016).

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Source

Journal of Modern Optics

Volume

64

Issue

14

Start Page

1364

End Page

1369