Electromagnetic fields and boundary conditions at the interface of generalized transformation media
Electromagnetic fields and boundary conditions at the interface of generalized transformation media
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广义变换介质界面处的电磁场和边界条件
DOI：
10.1103/physreva.80.063835
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发表时间：
2009
影响因子：
2.9
通讯作者：
L. Bergamin
中科院分区：
文献类型：
--
作者：
L. Bergamin
在本文中，研究了两种变换介质之间或变换介质与真空之间的界面。严格从变换光学的角度来看，此类界面处的边界条件的后果可以通过两种不同的方式解决。首先，我们分析一类受限的无反射界面，变换光学工具允许通过麦克斯韦方程组的相同真空解来描述界面两侧的电磁场。第二步，我们检查两个任意转换介质之间的界面。该分析被扩展到作者最近提出的变换光学的概括。作为基本应用，它展示了如何通过使用广义变换光学以完全几何的方式理解真空与具有任意且独立的介电常数和磁导率的均匀各向同性介质之间的界面处的反射和折射的标准定律。
In this paper, the interface between two transformation media or between a transformation medium and vacuum is studied. Strictly from the transformation optics point of view, the consequences of the boundary conditions at such interfaces are addressed in two different ways. First, we analyze a restricted class of reflectionless interfaces, for which the tools of transformation optics allow to describe the electromagnetic fields on both sides of the interface by means of the same vacuum solution of the Maxwell equations. In a second step, we examine interfaces between two arbitrary transformation media. This analysis is extended to the recently suggested generalization of transformation optics by the author. As a basic application it is shown how the standard law of reflection and refraction at an interface between vacuum and a homogeneous and isotropic medium with arbitrary and independent permittivity and permeability can be understood in a completely geometric way by the use of generalized transformation optics.