Fractal Dimension of the Cantor Moire Structures

Details Fractal Dimension of the Cantor Moire Structures Fractal Dimension of the Cantor Moire Structures

2005-01-19

arxiv.org/abs/physics/0501101v1

Physics

Optics

15 pages, 9 figures, submitted to Optics Communications for considering its publications

Scientific paper

In a recently published paper (J. of Modern Optics 50 (9) (2003) 1477-1486) a qualitative analysis of the moire effect observed by superposing two grids containing Cantor fractal structures was presented. It was shown that the moire effect is sensible to variations in the order of growth, dimension and lacunarity of the Cantor fractal. It was also verified that self-similarity of the original fractal is inherited by the moire pattern. In this work it is shown that these Cantor moire structures are also fractals and the fractal dimension associated with them is theoretically determined and experimentally measured attending the size of rhombuses in the different orders of growth.

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