In the present work, we study the rotations of the polarization of light propagating in right and left-handed films and layered structures. Through the use of complex values representing the rotations we analyze the transmission (Faraday effect) and reflections (Kerr effect) of light. It is shown that the real and imaginary parts of the complex angle of Faraday and Kerr rotations are odd and even functions for the refractive index n, respectively. In the thin film case with left-handed materials there are large resonant enhancements of the reflected Kerr angle that could be obtained experimentally. In the magnetic clock approach, used in the tunneling time problem, two characteristic time components are related to the real and imaginary portions of the complex Faraday rotation angle . The complex angle at the different propagation regimes through a finite stack of alternating right and left-handed materials is analyzed in detail. We found that, in spite of the fact that Re(θ) in the forbidden gap is almost zero, the Im(θ) changes drastically in both value and sign.

中文翻译：

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左右手薄膜和分层材料中的法拉第和克尔效应

在当前的工作中，我们研究在右手和左手的薄膜以及分层结构中传播的光的偏振旋转。通过使用表示旋转的复数值，我们分析了光的透射率（法拉第效应）和反射率（克尔效应）。结果表明，法拉第旋转和克尔旋转的复角的实部和虚部对于折射率n是奇数和偶数函数， 分别。在具有左手材料的薄膜情况下，可以通过实验获得反射克尔角的较大共振增强。在隧道时间问题中使用的电磁时钟方法中，两个特征时间分量与复法拉第旋转角的实部和虚部有关。详细分析了通过交替交替使用右手和左手材料的有限堆栈在不同传播方式下的复角。我们发现，尽管禁忌间隙中的Re（θ）几乎为零，但Im（θ）的值和符号都急剧变化。