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.

Graphical abstract

中文翻译：

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晶体中存在表面相互作用时局部化的特点是特征在于Kerr非线性的跳跃变化

摘要

我们提出了一种新的非线性模型，该模型描述了取决于磁场振幅的Kerr非线性系数的急剧变化。考虑了与表面的激发相互作用。以精确的分析形式发现了位于表面附近的三种新型表面状态，它们将线性介质和具有建议的非线性类型的晶体分开。在以正（自聚焦）非线性为特征的晶体中存在一种表面状态，在以负（散焦）非线性为特征的晶体中存在两种表面状态。根据激励和表面之间的相互作用强度，分析了非线性表面状态的结构，表面域形成的特殊性和潮流重新分布。

图形概要