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

Abstract

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.