We demonstrate the effect of the modulation instability of surface plasmon polariton waves in a l... more We demonstrate the effect of the modulation instability of surface plasmon polariton waves in a layer structure of subwavelength thickness. The expressions describing the dispersion and nonlinear properties of this structure are derived. It is shown that the modulation instability effect could be used for the generation of ultrashort pulse trains and the localization of optical fields with a scale less than 1 micron.
An analysis is made of multiple scattering of particles whose ranges have a power-law distributio... more An analysis is made of multiple scattering of particles whose ranges have a power-law distribution corresponding to a fractal medium. The small-angle approximation is used to derive an expression for the angular distribution of particles which have traversed a specific path. The results of numerical calculations are presented.
An approach is developed to construction of random point distribution in 3-dimensional space base... more An approach is developed to construction of random point distribution in 3-dimensional space based on the theory of branching processes. Correlation functions of all orders have been obtained in general form. The neutron and Lévy branching processes are numerically investigated. It is shown that fractal properties of the obtained distributions develop not only in the case of critical cascades but also in the case of subcritical, close to critical ones. In the last case, fractal properties appear in the limit region of distances. The difference between distributions generated by branching and nonbranching processes is discussed.
Multiple scattering of particles by a stochastic fractal, a set of point targets (atoms) randomly... more Multiple scattering of particles by a stochastic fractal, a set of point targets (atoms) randomly distributed in a space with a power correlation function, is considered. The energy and angular distributions that generalize the known Landau, Fermi, and Molière distributions are found in the low-angle approximation. The analytical results are checked by Monte Carlo numerical simulation.
The concept of global mass density (GMD) for deterministic and stochastic fractals is considered.... more The concept of global mass density (GMD) for deterministic and stochastic fractals is considered. For the construction of a stochastic fractal, the Lévy-Mandelbrot algorithm and its modification are used. The probability density of the GMD is investigated for all these cases. The important result is that this distribution has a nondegenerate limit under the following condition on the connection between the exponent of mass distribution α and fractal dimension D: D=3α.
Analysis of the spatial distribution of galaxies in the observable universe has shown that there ... more Analysis of the spatial distribution of galaxies in the observable universe has shown that there are power-law distant correlations, which means that the average number of galaxies within a sphere of radius R centered at one of the galaxies has a power-law dependence on R. The authors use the modified Mandelbrot method to analyze the fractal distribution of galaxies.
We demonstrate the effect of the modulation instability of surface plasmon polariton waves in a l... more We demonstrate the effect of the modulation instability of surface plasmon polariton waves in a layer structure of subwavelength thickness. The expressions describing the dispersion and nonlinear properties of this structure are derived. It is shown that the modulation instability effect could be used for the generation of ultrashort pulse trains and the localization of optical fields with a scale less than 1 micron.
An analysis is made of multiple scattering of particles whose ranges have a power-law distributio... more An analysis is made of multiple scattering of particles whose ranges have a power-law distribution corresponding to a fractal medium. The small-angle approximation is used to derive an expression for the angular distribution of particles which have traversed a specific path. The results of numerical calculations are presented.
An approach is developed to construction of random point distribution in 3-dimensional space base... more An approach is developed to construction of random point distribution in 3-dimensional space based on the theory of branching processes. Correlation functions of all orders have been obtained in general form. The neutron and Lévy branching processes are numerically investigated. It is shown that fractal properties of the obtained distributions develop not only in the case of critical cascades but also in the case of subcritical, close to critical ones. In the last case, fractal properties appear in the limit region of distances. The difference between distributions generated by branching and nonbranching processes is discussed.
Multiple scattering of particles by a stochastic fractal, a set of point targets (atoms) randomly... more Multiple scattering of particles by a stochastic fractal, a set of point targets (atoms) randomly distributed in a space with a power correlation function, is considered. The energy and angular distributions that generalize the known Landau, Fermi, and Molière distributions are found in the low-angle approximation. The analytical results are checked by Monte Carlo numerical simulation.
The concept of global mass density (GMD) for deterministic and stochastic fractals is considered.... more The concept of global mass density (GMD) for deterministic and stochastic fractals is considered. For the construction of a stochastic fractal, the Lévy-Mandelbrot algorithm and its modification are used. The probability density of the GMD is investigated for all these cases. The important result is that this distribution has a nondegenerate limit under the following condition on the connection between the exponent of mass distribution α and fractal dimension D: D=3α.
Analysis of the spatial distribution of galaxies in the observable universe has shown that there ... more Analysis of the spatial distribution of galaxies in the observable universe has shown that there are power-law distant correlations, which means that the average number of galaxies within a sphere of radius R centered at one of the galaxies has a power-law dependence on R. The authors use the modified Mandelbrot method to analyze the fractal distribution of galaxies.
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Papers by D Korobko