Кафедра вищої математики (ВМ)

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Implementation of the extinction theorem in a problem of Airy pulse scattering by a dielectric layer
(UWBUSIS, 2016) Kuryzeva, O. V.; Tkach, A. D.; Nerukh, A. G.
A problem of Airy pulse transformation by a plane-parallel layer is considered. Solving of this problem is made by the Volterra integral equation method in two stages. Finding of an electrical field inside a layer is implemented on the first stage. The fields of reflected as well as transmitted pulses are calculated on the second stage. The virtual structure of the pulse field inside the layer consists of some terms one of which extinctions the initial pulse according to the Ewald-Oseen extinction theorem.
Spectral features of a dielectric layer in paraxial approximation
(MSMW, 2016) Kuryzheva, O.; Tkach, A.; Nerukh, A.
Spectrum of an Airy pulse scattered by a dielectric layer is investigated in paraxial approximation using an integral equation. Peculiarities of transmitted and reflected spectra are explored.
Time-spatial structure of airy pulse in non-stationary environment
(Optical and Quantum Electronics, 2018) Nerukh, A.; Kuryzheva, O.; Benson, T.
The transformation of an electromagnetic pulse in a triply asymmetric electro-dynamic problem is considered. Asymmetry is specified by an initial Airy pulse with asymmetric behaviour in the past and in the future, by the presence of a boundary between two dielectric media, and by the temporal behaviour of refractive index in one of them