Journal ArticleDOI
Koch fractals in physical optics and their Fraunhofer diffraction patterns
TLDR
An overview of the utilization of fractals in physical optics, especially of Koch fractals and their diffractals, is given in this paper, where the most typical Koch curves are also depicted.About:
This article is published in Optik.The article was published on 2010-01-01. It has received 23 citations till now. The article focuses on the topics: Fraunhofer diffraction & Fresnel diffraction.read more
Citations
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Journal ArticleDOI
Crashworthiness behavior of Koch fractal structures
TL;DR: In this article, a new crush absorber design based on the Koch fractal (KF) geometry was proposed to improve energy absorption performance. But the performance of the three designs of Koch structures, one single-wall and two hybrid, was investigated by experimental testing and computational modelling.
Posted Content
Boundary element methods for acoustic scattering by fractal screens.
TL;DR: In this paper, boundary element methods for time-harmonic scattering in a fractal planar screen are studied. But the authors consider two distinct cases: (i) a relatively open subset of the hyperplane with fractal boundary, and (ii) a compact fractal subset with empty interior.
Journal ArticleDOI
Boundary element methods for acoustic scattering by fractal screens
TL;DR: In this paper, boundary element methods for time-harmonic scattering in planar planar grids are studied, and sufficient conditions on the mesh sizes guaranteeing convergence to the limiting fractal solution are provided.
Journal ArticleDOI
Fractal Cylindrical Fracxicon
TL;DR: The paper presents the results of a numerical study of a new optical element–the fractal fracxicon, an element whose phase function is a fractional power of spatial coordinates that generates beams that exhibit such properties as self-similarity and self-focusing.
Journal ArticleDOI
Robustness and spatial multiplexing via diffractal architectures.
Matthew Moocarme,Luat T. Vuong +1 more
TL;DR: This work shows that this specific architecture enables robust signal transmission and spatial multiplexing: arbitrary parts of a diffractal contain sufficient information to recreate the entire original sparse signal.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Book
Fractals Everywhere
TL;DR: Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
Book
Fractals: Form, Chance and Dimension
TL;DR: Fractals as mentioned in this paper is a new field of mathematics that models the most interdisciplinary grab-bag of naturally occurring forms, such as coastlines and clouds, crystals, snowflakes and cosmological structures.
Related Papers (5)
Fraunhofer diffraction patterns generated by Cantor phase gratings
Silvia Ledesma,Claudio Iemmi +1 more