dorsal/arxiv
View SchemaFractal Dimension of the Cantor Moire Structures
| Authors | Luciano Zunino, Mario Garavaglia |
|---|---|
| Categories | |
| ArXiv ID | physics/0501101 |
| URL | https://arxiv.org/abs/physics/0501101 |
Abstract
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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"abstract": "In a recently published paper (J. of Modern Optics 50 (9) (2003) 1477-1486) a\nqualitative analysis of the moire effect observed by superposing two grids\ncontaining Cantor fractal structures was presented. It was shown that the moire\neffect is sensible to variations in the order of growth, dimension and\nlacunarity of the Cantor fractal. It was also verified that self-similarity of\nthe original fractal is inherited by the moire pattern. In this work it is\nshown that these Cantor moire structures are also fractals and the fractal\ndimension associated with them is theoretically determined and experimentally\nmeasured attending the size of rhombuses in the different orders of growth.",
"arxiv_id": "physics/0501101",
"authors": [
"Luciano Zunino",
"Mario Garavaglia"
],
"categories": [
"physics.optics"
],
"title": "Fractal Dimension of the Cantor Moire Structures",
"url": "https://arxiv.org/abs/physics/0501101"
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