Abstract

Particularities of field (light beam) localization near a planar defect in media with an abrupt defocusing Kerr type nonlinearity is studied theoretically using a one-dimensional model based on a generalization of the nonlinear Schrödinger equation with a point potential modeling the interaction of excitations with a planar defect and a nonlinear summand in which coefficients of the linear and nonlinear response change abruptly depending on the field amplitude in the medium. It is shown that there exist two types of symmetric localized steady states in different energy ranges. The influence of the intensity of the interaction between excitations and the defect on the profile of localization of states and conditions of their existence are studied.

中文翻译：

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具有突然变化的散焦非线性响应的介质中平面缺陷附近局部状态形成的特殊性

摘要

理论上，基于一维模型，基于非线性薛定ding方程的推广，使用一维模型研究了具有突然散焦Kerr型非线性的介质中的平面缺陷附近的场（光束）局部化特性，该点模型化了激发与共振的相互作用。平面缺陷和非线性求和，其中线性和非线性响应的系数根据介质中的场振幅而突然变化。结果表明，在不同的能量范围内，存在两种对称的局部稳态。研究了激发与缺陷之间相互作用的强度对状态局部分布及其存在条件的影响。