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V. V. Yatsyk

Publications and source records attributed to V. V. Yatsyk.

3 recordsLinked to original sources

Diffraction Problem and Amplitudes-Phases Dispersion of Eigen Fields of a Nonlinear Dielectric Layer

The open nonlinear electrodynamic system - nonlinear transverse non-homogeneous dielectric layer, is an example of inorganic system having the properties of self-organization, peculiar to biological systems. The necessary precondition of effects of self-organization is the presence of a flow of energy acting in system from an external source, due to which the system gets ability to independent formation of structures. On an example of the transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer the constructive approach of the analysis of amplitudes-phases dispersion of eigen oscillation-wave fields of nonlinear object are shown. The norm of an eigen field is defined from the solution of a diffraction problem of plane waves or excitation of point or compact source of a nonlinear layer.

physics.comp-ph↗

The Numerical Simulations and Resonant Scattering of Intensive Electromagnetic Fields of Waves by Dielectric Layer with Kerr-Like Nonlinearity

On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the diffraction problem of a plane wave on the nonlinear object and the results of the numerical analysis of the nonlinear problem are shown. The nonlinear diffraction problem reduced the solutions of the systems of the non-homogeneous nonlinear equations of the second kind on the base of the iterative schemes. The results of the numerical analysis of the diffraction problem of a plane wave on the nonlinear object are shown. The effects: non-uniform shift of resonant frequency of the diffraction characteristics of a nonlinear dielectric layer; increase of the angle of the transparency of the nonlinear layer at growth of intensity of the field are found out.

physics.comp-ph↗

Numerically Analytical Methods of Solution of the Diffraction Problem on the Nonlinear Dielectric Layer

On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the diffraction problem of a plane wave on the nonlinear object are shown. The first of them based on the iterative scheme is applicable to the solution of non-homogeneous system of the second kind nonlinear equations. The second algorithm bases on construction of system of the holomorphic nonlinear equations and application of the Newtonian method for the solution of the nonlinear equations system.

physics.comp-ph↗