Fractal superlattices are composite, aperiodic structures comprised of alternating layers of two semiconductors following the rules of a fractal set. The scattering properties of polyadic Cantor fractal superlattices with variable lacunarity are determined. The reflection coefficient as a function of the particle energy and the lacunarity parameter present tunneling curves, which may be classif...

A decrease in physical size and multiband ability are essential requirements for antenna incoming wireless devices.The antenna based on Sierpinski fractal antenna theory. Design & simulation of fractal triangle microstrip patch antenna done by using IE3D software of Zeland. In this paper, a special technique is proposed to design a new patch antenna, shapes is equilateral triangular fed by a 50...

This research involves the overlaps of antenna theory, fractal geometry, and numerical calculations. Its goal is to investigate how random or periodic antenna array geometry can be improved through the use of fractals. Using a program we developed in Matlab, we plotted the radiation of linear/planar antenna arrays. We were able to correctly analyze radiation of three two-dimensional arrays. Ano...

Vector-soliton collisions in birefringent nonlinear optical fibers are investigated. The underlying mathematical model is the non-integrable coupled nonlinear Schrödinger equations. It is shown that the exit velocity versus collision velocity graph has a fractal structure. When we zoom into different positions of this fractal, we get structures which are either a copy, a horizontal reflection o...

Osteoporosis is a condition of decreased bone mass. This leads to fragile bones which are at an increased risk for fractures, more often, it affects postmenopausal women. In this paper we propose a study of osteoporosis with the fractal dimension. After an introduction to the theory and fractal dimension, we use the box counting method for the segmentation of radiographic images, the study of t...

The fractal dimension of large-scale galaxy clustering has been reported to be roughly DF ∼ 2 from a wide range of redshift surveys. If correct, this statistic is of interest for two main reasons: fractal scaling is an implicit representation of information content, and also the value itself is a geometric signature of area. It is proposed that a fractal distribution of galaxies may thus be int...

New measurements of galaxy clustering and background radiations can provide improved constraints on the isotropy and homogeneity of the Universe on scales larger than 100 h Mpc. In particular, the angular distribution of radio sources and the X-Ray Background probe density fluctuations on scales intermediate between those explored by galaxy surveys and Cosmic Microwave Background experiments. O...

Abstract Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it. In this context we report on the fractal properties of the isochrons of some continuous-time asymptotically periodic systems. We define a global measure of phase sensitivity that we call the phase sensitivity coefficie...

Abstract. We analyze on a simple classical billiard system the onset of chaotical behaviour in different dynamical regimes. A classical version of the nuclear billiard with a 2D deep Woods-Saxon potential is used. We take into account the coupling between the single particle and the collective degrees of freedom in the presence of dissipation for several vibrational multipolarities. It is shown...