论文标题
移动介质中诱导电磁场的几何形状
The geometry of induced electromagnetic fields in moving media
论文作者
论文摘要
在本手稿中，我们为诱导的电磁场及其在移动介质中的相应本构关系提供了完全几何公式。为此，我们向读者提供了一个简短的几何摘要，以说明如何将矢量计算电磁理论嵌入较大的差分形式的语言中。然后，我们考虑\ emph {metric}的类别构成关系，描述了电磁场传播的介质。如在实验室\ emph {rest}框架中所示，我们明确地在移动介质中明确获得了诱导场的组件。这使我们可以阅读有关移动介质的允许性，渗透性和磁电矩阵的表达式
In this manuscript we provide a fully geometric formulation for the induced electromagnetic fields and their corresponding constitutive relations in moving media. To this end, we present the reader with a brief geometric summary to show how vector calculus electromagnetic theory is embedded in the more general language of differential forms. Then, we consider the class of \emph{metric} constitutive relations describing the medium in which electromagnetic fields propagate. We explicitly obtain the components of the induced fields in a moving medium, as seen in the the lab \emph{rest} frame. This allows us to read the expressions for the permitivity, permeability and magnetoelectric matrices for the moving medium which, in turn, can be interpreted as a different physical material from the lab point of view
