Abstract

A model is proposed in which localized light propagation is described by the nonlinear Schrödinger equation with abruptly varying parameters and a positive coefficient of quadratic nonlinearity, as well as with a point potential simulating the interaction of excitations with the interface between waveguide layers. An exact solution of the equation is found and its parameters are analyzed depending on the intensity of this interaction and the field amplitude at a defect. It is shown that the field amplitude at the defect decreases when the wave interacts with the interface between the waveguide layers. Changes in the properties of the region near the boundary are described, which are associated with features of the field structure in the localized light beam.

中文翻译：

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自聚焦非线性介质界面附近光学特性的变化取决于局域光束的强度

摘要

提出了一种模型，其中局部光传播由非线性薛定谔方程描述，该方程具有突然变化的参数和二次非线性的正系数，以及模拟激发与波导层之间界面的相互作用的点电位。找到方程的精确解，并根据这种相互作用的强度和缺陷处的场幅度分析其参数。结果表明，当波与波导层之间的界面相互作用时，缺陷处的场幅度减小。描述了边界附近区域特性的变化，这与局部光束中的场结构特征相关。