https://doi.org/10.1140/epjb/e2020-10316-x
Regular Article
Peculiarities of localization in the presence of surface interaction in the crystal characterized by the jump change in Kerr nonlinearity
Belgorod State Technological University named after V.G. Shukhov 308012,
Kostukova St. 46,
Belgorod, Russia
a e-mail: savotchenkose@mail.ru
Received:
23
June
2020
Received in final form:
4
August
2020
Accepted:
12
August
2020
Published online: 21 September 2020
We propose the new model of nonlinearity describing a sharp change in Kerr nonlinearity coefficients in dependence on the field amplitude. The excitation interaction with surface is taken into account. Three new types of surface states localized near the surface separated the linear medium and the crystal with proposed type of nonlinearity, are found in exact analytical forms. One type of the surface states exists in the crystal characterized by positive (self-focusing) nonlinearity and two types of the surface states exist in the crystals characterized by negative (defocusing) nonlinearity. The structure of nonlinear surface states, peculiarities of the surface domain formation and power flow redistributions were analyzed in dependence on intensity of interaction between excitations and surface.
Key words: Solid State and Materials
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020