14 August 2001 Fraunhofer diffraction by Cantor fractals: study of their lacunarity
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Proceedings Volume 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications; (2001) https://doi.org/10.1117/12.437166
Event: IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, 2001, Tandil, Argentina
Abstract
The optical diffraction by fractal openings is increasingly being studied, because it allows to determine the properties and parameters that characterize these objects. Allain and Cloitre published the first results showing that the resulting analysis of the distribution of intensity obtained for diffraction experiments through fractal deterministic pupils permits the direct objection of the Hausdorff dimension an of other geometrical characteristic of these structures. In this work are studied, solved analytically, and characterized the lacunarity effect (epsilon) , dimension d and stage of growth k of Cantor fractal about he distribution of intensities of the diffraction pattern. In particular we make notice in the influence of lacunarity because this is one of the first works in which this geometric fractal parameter is being into consideration. The result of this study allow to say that an intimate relation exists between the distribution of the diffracted waves and the parameters that describe this kind of fractal geometry.
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Luciano Zunino, Mario Garavaglia, "Fraunhofer diffraction by Cantor fractals: study of their lacunarity", Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); doi: 10.1117/12.437166; https://doi.org/10.1117/12.437166
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