Abstract

A model of a three-dimensional optical structure in which the plane-parallel boundaries have intrinsic nonlinear properties is considered. The internal layer with a finite thickness is an optically transparent medium with defocusing Kerr nonlinearity; on the outside, it is in contact with dielectric linear half-spaces. The mathematical formulation of the model reduces to the nonlinear Schrödinger equation with a positive coefficient of cubic nonlinearity and with a nonlinear self-consistent potential. It is shown analytically that the system contains a nonlinear light wave propagating along the optical layer and localized in dielectric plates. The frequencies of light-field localization in this structure are obtained and the conditions for their existence are determined for different characteristics of the media and the interfaces between them. It is shown that the light field can be localized along the layers for different signs of the nonlinear response of the interfaces between layers of the three-layer structure in the case where one of them is characterized by a focusing nonlinearity; and the other, by a defocusing one.

中文翻译：

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具有散焦内层的非线性夹心型结构中界面的控制特性

摘要

考虑其中平面平行边界具有固有非线性特性的三维光学结构的模型。具有有限厚度的内层是具有Kerr非线性散焦的光学透明介质。在外部，它与电介质线性半空间接触。该模型的数学公式可简化为非线性Schrödinger方程，该方程具有正三次立方非线性系数和非线性自洽势。分析表明，该系统包含一个沿光学层传播并位于介电板中的非线性光波。获得这种结构中的光场定位频率，并为介质及其之间的界面的不同特性确定其存在的条件。结果表明，在其中三层结构之一的层具有聚焦非线性的情况下，对于三层结构的层之间的界面的非线性响应的不同符号，光场可以沿各层定位。另一种是散焦。