标题： 不可见斗篷中光线追踪的解析形式 显示英文标题

标题： Analytical form of light-ray tracing in invisibility cloaks

摘要： 在本文中，我们回顾了变换光学的方法，该方法可以通过基于麦克斯韦方程组形式不变性的坐标变换来构建隐形斗篷。 比较了三种不同的定义电磁场分量的方法，以消除一些模糊之处。 推导了通过任何连续径向变换函数创建的球形和圆柱形理想隐形斗篷中光束和波法线的解析表达式，并给出了其物理解释。 利用各向异性介质中的对偶原理，我们证明了光束矢量满足对应的“光束矢量薛定谔方程”，而不是通常的“波矢量薛定谔方程”。 这些结果解释了为什么波矢量映射到从虚拟空间到物理空间的光束矢量，而不是波矢量。 作为应用，我们研究了使光束函数满足调和方程的特殊变换函数。 显示英文摘要

摘要： In this paper, we review the methodology of transformation optics, which can construct invisibility cloak through the transformation of coordinates based on the form invariance of Maxwell's equations. Three different ways to define the components of electromagnetic fields are compared for removing some ambiguities. The analytical expressions of light-ray and wave-normal ray are derived in spherical and cylindrical ideal invisibility cloaks created with any continuous radial transformation functions, and their physical interpretation is also given. Using the duality principle in anisotropic media, we prove that light-ray vector satisfies "ray-vector eikonal equation" corresponding to the usual "wave-vector eikonal equation". The results interpret why the wave vector maps to the ray vector transferring from the virtual space to the physical space, but not the wave vector. As an application, we investigate the special transformation functions which make the light-ray function satisfy harmonic equation.