Abstract A theoretical model is proposed to study the propagation of monochromatic electromagnetic plane waves through very thin slabs having gain or loss. The analysis is based on solving the differential equations directly and applying the appropriate boundary conditions. The optical response of the slabs is considered in the linear and nonlinear regimes with a Kerr-type nonlinearity. A number of relations between the real and imaginary parts of the dielectric function are derived in order that useful effects related to the non-Hermiticity of the system be presented. The transmission of plane waves through a system consisting of two thin slabs satisfying the condition of Parity-Time symmetry is also considered.

中文翻译：

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电磁波通过非常薄的非厄米板传播

摘要 提出了一个理论模型来研究单色电磁平面波通过具有增益或损耗的极薄板的传播。该分析基于直接求解微分方程并应用适当的边界条件。在具有克尔型非线性的线性和非线性区域中考虑板的光学响应。导出介电函数的实部和虚部之间的许多关系，以便呈现与系统的非厄米性相关的有用效果。还考虑了平面波通过满足奇偶时间对称条件的两个薄板组成的系统的传输。