Fractal Dimension of the Cantor Moiré Structures
نویسندگان
چکیده
In a recently published paper (J. of Modern Optics 50 (9) (2003) 1477-1486) a qualitative analysis of the moiré effect observed by superposing two grids containing Cantor fractal structures was presented. It was shown that the moiré 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 moiré pattern. In this work it is shown that these Cantor moiré 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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