Abstract:
The features of localization of excitations in a three-layer structure in which linear media are separated by boundaries with their own nonlinear response have been examined. It is shown that in the three-layer structure under consideration, localized states of two types can exist that differ in the distribution of the field in the inner layer, as well as in the frequency range of existence. Dispersion relations have been obtained that determine the energy dependence on system parameters in each case. The damping factors of surface waves are obtained in an explicit form. The conditions of the field localization are specified, depending on the characteristics of the layers and their interfaces. The energies of localized states have been found that do not exist in a symmetric structure without a wave interacting with the interfaces of the layers. Moreover, the presence of a nonlinear response of the boundaries is mandatory. It is shown that the interaction of a wave with the interfaces of the layers can lead to the absence of a localized state in a one-dimensional symmetric potential well with infinitely high walls and a nonlinear response. The influence of the media parameters and their interfaces on the flux carried by surface waves has been analyzed.
Citation:
S. E. Savotchenko, “Localization of excitations in a layered structure with interfaces characterized by a nonlinear response”, Fizika Tverdogo Tela, 61:3 (2019), 571–580; Phys. Solid State, 61:3 (2019), 440–449
\Bibitem{Sav19}
\by S.~E.~Savotchenko
\paper Localization of excitations in a layered structure with interfaces characterized by a nonlinear response
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 3
\pages 571--580
\mathnet{http://mi.mathnet.ru/ftt8898}
\crossref{https://doi.org/10.21883/FTT.2019.03.47253.288}
\elib{https://elibrary.ru/item.asp?id=37478690}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 3
\pages 440--449
\crossref{https://doi.org/10.1134/S1063783419030296}
Linking options:
https://www.mathnet.ru/eng/ftt8898
https://www.mathnet.ru/eng/ftt/v61/i3/p571
This publication is cited in the following 3 articles:
S. E. Savotchenko, “Features of the bound state formation near a nonlinear defect in the presence of a homogeneous external field”, Eur. Phys. J. Plus, 137:7 (2022)
S. E. Savotchenko, “Nonlinear surface waves propagating along composite waveguide consisting of nonlinear defocusing media separated by interfaces with nonlinear response”, J. Nonlinear Optic. Phys. Mat., 29:01n02 (2020), 2050002
S. E. Savotchenko, “Peculiarities of localization of excitations near the interlayer between nonlinear focusing media under conditions of nonlinear interactions with layer interfaces”, Phys. Solid State, 62:3 (2020), 514–518
Citation in format AMSBIB
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