56 citations · 210 across the 10 of their papers we have counts for
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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…
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…
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…