Publication: Diffraction by Cantor fractal zone plates
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2005-12-15
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Rodrigo Martín-Romo, José Augusto
Alieva, Tatiana Krasheninnikova
Davis, Jeffrey A.
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Taylor and Francis Ltd.
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Abstract
The paper reports studies, both experimental and using numerical simulation, of the Fresnel diffraction by recently introduced fractal zone plates associated with triadic and quintic Cantor sets. The evolution of the intensity patterns at planes transversal to the propagation direction is presented. A series of conventional and doughnut-like foci are observed around the principal focus. The position, depth and size of the foci depend on similarity dimensions and the fractal level of the encoded fractal structures, both directly related to the number of the corresponding Fresnel zones.
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© 2005 Taylor & Francis.
Research supported by projects TIC2002-1846 and TIC2002-11581-E Ministerio de Educación y Ciencia, Spain. T. Alieva acknowledges receipt of a ‘‘Ramón y Cajal’’ grant from Ministerio de Educación y Ciencia, Spain. The authors acknowledge the technical support of Hamamatsu (R. Díaz) in providing the CCD camera for these experiments.
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