Abstract

The possibilities of formation and detection of the electromagnetic soliton-like wave in superlattices based on semi-Dirac crystals have been considered. The field of soliton-like wave obeys the d’Alembert equation which takes into account the current induced in superlattice by this wave. Resulting equation has the form of nonlinear Klein-Gordon equation. Some approximate methods of finding of kink solutions of obtained equation have been reviewed. The dependence of kinks parameters on the structure parameters of material has been analyzed. The new periodical solutions of considered equation have been found. The dependence of period of nonlinear electromagnetic wave which propagates in superlattice on the nonlinearity parameter has been studied. The phenomena of spontaneous doubling of frequency and spontaneous rectification of nonlinear wave in superlattice have been predicted.

Graphical abstract

中文翻译：

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具有超晶格的半狄拉克纳米结构中的非线性电磁波

摘要

已经考虑了在基于半狄拉克晶体的超晶格中形成和检测类电磁孤波的可能性。类孤波的场服从d'Alembert方程，该方程考虑了该波在超晶格中感应的电流。所得方程具有非线性Klein-Gordon方程的形式。对获得的方程的扭结解的一些近似方法进行了综述。分析了扭结参数对材料结构参数的依赖性。已经找到了考虑方程的新周期解。研究了超晶格中传播的非线性电磁波周期与非线性参数的关系。

图形概要