56 citations · 265 across the 14 of their papers we have counts for
9 papers · 1 filter
Small-angle scattering from the Cantor surface fractal on the plane and the Koch snowflake
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
The small-angle scattering (SAS) from the Cantor surface fractal on the plane and Koch snowflake is considered. We develop the construction algorithm for the Koch snowflake, which…
The structure factor of fat deterministic Vicsek fractals: a small-angle scattering study
E. M. Anitas
We study here the small-angle scattering structure factor for deterministic fat fractals in the reciprocal space. It is shown that fat fractals are exact self-similar in the range…
Scattering from surface fractals in terms of composing mass fractals
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of…
Structural properties of fractals with positive Lebesgue measures
Eugen M. Anitas
Small-angle scattering (SAS) data which show a succession of power-law decays with decreasing values of scattering exponents, can be described in terms of fractal structures with p…
Small-angle scattering from fat fractals
Eugen M. Anitas
A number of experimental small-angle scattering (SAS) data are characterized by a succession of power-law decays with arbitrarily decreasing values of scattering exponents. To desc…
Small-angle scattering from three-phase systems: Investigation of the crossover between mass fractal regimes
Eugen M. Anitas, Alexander Yu. Cherny, Vladimir A. Osipov +1
In this paper, we construct a three-phase model (that is, a system consisting of three homogeneous regions with various scattering length densities), which illustrate the behavior…
Small-angle scattering from multi-phase fractals
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various scattering exponents whose val…
Deterministic fractals: extracting additional information from small-angle scattering data
A. Yu. Cherny, E. M. Anitas, V. A. Osipov +1
The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodi…
The scattering from generalized Cantor fractals
A. Yu. Cherny, E. M. Anitas, A. I. Kuklin +2
We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimensio…