Peculiarities of localization in the presence of surface interaction in the crystal characterized by the jump change in
- PDF / 1,638,801 Bytes
- 12 Pages / 595.276 x 785.197 pts Page_size
- 51 Downloads / 190 Views
THE EUROPEAN PHYSICAL JOURNAL B
Regular Article
Peculiarities of localization in the presence of surface interaction in the crystal characterized by the jump change in Kerr nonlinearity Sergey E. Savotchenko a Belgorod State Technological University named after V.G. Shukhov 308012, Kostukova St. 46, Belgorod, Russia
Received 23 June 2020 / Received in final form 4 August 2020 / Accepted 12 August 2020 Published online 21 September 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 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.
1 Introduction The theoretical study of nonlinear surface waves has been carried out for a long time [1–15]. Such studies have been developing in the direction of studying the influence of various parameters on the controlled localization of light beams along surfaces [16–22]. Particular attention is paid to the possibility of controlling the localization parameters by the input field intensity [23,24]. It was noted that the high intensity light beam propagating along the surface could change the properties of the medium in the regions near the surface [25,26]. The surface optical domain forms near the surface of nonlinear crystals characterized by abruptly changing dielectric constant depending on the field amplitude [27,28]. The dielectric permittivity in semiconductors in the exciton region of the spectrum at high intensity levels changes almost stepwise depending on the amplitude of the electric field when exciton-exciton interactions are taken into account [28]. The dielectric constant is almost independent on the field amplitude outside this spectrum region. In order to theoretically investigate nonlinear effects, it were used different models of nonlinearities, such as photorefractive nonlinearity [29–39], “sharp” stepwise nonlinearity [28,29,40–44], saturable nonlinearity [45–50] and another form of nonlinearity [51–59]. Saturable nonlinearity coincides with Kerr-type nonlinearity (where the dielectric constant/refractive index depends on the square a
e-mail: [email protected]
of the amplitude of the electric field [60–62]) at low intensities. Such type of nonlinearity describes the smooth change of refractive index between two its values depending on the e
Data Loading...
