Abstract

Models of contacting media with stepwise nonlinearity are considered in the presence of interaction of excitations with the interface as a planar defect. In such media, an instantaneous switching from one level to another occurs when the field amplitude reaches a certain threshold value. New types of localized states with specific structure and properties are found. The structure of such states is determined by the formation of domains in the near-boundary regions, in which the values of certain parameters of the media differ from those in other regions. It is shown that, in the presence of interaction of excitations with the interface, new phenomena may occur that are related to the structural features of the field of localized states. The conditions for the existence of localized states are changed. The field can be maximized not only in the near-boundary region but also at the interface between a medium with stepwise nonlinearity and a linear medium. In the medium with stepwise nonlinearity containing a planar defect, the interaction of excitations with this defect leads to a decrease in the amplitude in the plane of the defect. As the intensity of interaction with the defect increases at a fixed localization energy, the domain width increases. It is shown that the threshold value of the total energy flow starting from which localized states exist and a domain is formed can be controlled by the intensity of the interaction of excitations with the interface.

中文翻译：

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激励与非线性介质之间的界面相互作用的交换对局部状态形成的影响

摘要

在存在作为平面缺陷的界面相互作用的情况下，考虑了具有逐步非线性的接触介质模型。在这种介质中，当场幅度达到某个阈值时，会发生从一个级别到另一个级别的瞬时切换。找到具有特定结构和属性的新型局部状态。这种状态的结构是通过在边界附近区域中形成域来确定的，其中介质某些参数的值不同于其他区域中的值。结果表明，在激发与界面相互作用的情况下，可能会发生新现象，这些新现象与局域态场的结构特征有关。局部状态存在的条件发生了变化。该场不仅可以在近边界区域中最大化，而且可以在具有逐步非线性的介质和线性介质之间的界面处最大化。在包含平面缺陷的逐步非线性的介质中，激发与该缺陷的相互作用导致缺陷平面中振幅的减小。随着与缺陷的相互作用的强度在固定的定位能量下增加，畴宽度增加。结果表明，总能量流的阈值可以从激发态与界面相互作用的强度来控制，从该阈值开始存在局部状态并形成畴。激发与该缺陷的相互作用导致缺陷平面中幅度的减小。随着与缺陷的相互作用的强度在固定的定位能量下增加，畴宽度增加。结果表明，总能量流的阈值可以从激发态与界面相互作用的强度来控制，从该阈值开始存在局部状态并形成畴。激发与该缺陷的相互作用导致缺陷平面中幅度的减小。随着与缺陷相互作用的强度在固定的定位能量下增加，畴宽也增加。结果表明，总能量流的阈值可以从激发态与界面相互作用的强度来控制，从该阈值开始存在局部状态并形成畴。