电磁隐形衣材料参数的简单推导方法

在应用光学变换理论的过程中,往往牵涉到正交坐标系下的张量转换问题,计算比较繁杂。文中利用大学课程“电磁场与电磁波”中正交坐标系的理论,推导得到了电磁隐形衣的材料电磁参数。该方法采用变量替换,并将虚拟空间坐标系下的变量用物理空间的变量表示出来;分析得到虚拟空间中新的坐标系为正交坐标系,并给出相应基矢和拉梅系数;然后将新坐标系下电场(磁场)的旋度方程与物理空间中标准坐标系下的旋度方程对比变形,便可以得到物理空间材料的电磁参数。

A Simple Derivation Method for Material Parameters ofElectromagnetic Invisibility Cloak

In the process of applying the optical transformation theory, the tensor transformation problem in the orthogonalcoordinate system is often involved, and the calculation is complicated. In this paper, the material electromagnetic parametersof the electromagnetic cloak are derived by using the theory of the orthogonal coordinate system in the universitycourse of "Electromagnetic Field and Electromagnetic Wave". The method adopts variable substitution, and the variables inthe virtual space coordinate system are represented by the variables in the physical space; the new coordinate system in thevirtual space is an orthogonal coordinate system, and the Lame coefficient of the corresponding base vector is given. By comparingand deforming the curl equation of the electric field (magnetic field) in the coordinate system and the curl equation inthe standard coordinate system in the physical space, the electromagnetic parameters of the material in the physical space canbe obtained.