标题： (2+1)维电磁学中的光传播：非线性本构定律的情况 显示英文标题

标题： Light propagation in (2+1)-dimensional electrodynamics: the case of nonlinear constitutive laws

摘要： 我们仔细研究了在由完全协变电磁理论建模的非线性介质中光传播的几何特性，该介质处于$2+1$维空间中。 在设定非线性本构关系后，推导出波的相速度和极化，并对三种特殊情况进行了详细分析。 尽管存在维数约简，我们的模型仍然表现出如单向传播、可控的不透明性等现象，适用于大量介电和磁电参数。 显示英文摘要

摘要： We scrutinize the geometrical properties of light propagation inside a nonlinear medium modeled by a fully covariant electromagnetic theory in $2+1$-dimensions. After setting the nonlinear constitutive relations, the phase velocity and the polarization of waves are derived and three special cases are analyzed in details. In spite of the dimensional reduction, our model still presents phenomena like one-way propagation, controlled opacity among others for a large class of dielectric and magneto-electric parameters.