基于线性变换的分区均匀材料电磁旋转衣设计

Rotators with Homogeneous Materials Based on Linear Transformation

基于坐标变换的光学变换理论已经提出有好多年了,随之基于这种理论的各种新型电磁器件被提出,电磁旋转衣便是其中之一。电磁旋转衣可以实现光学幻觉效果,即如果将一个物体放入电磁旋转衣内部,那么人们从外界看到的将是物体旋转后的样子,然而这种电磁旋转衣的电参数(相对介电常数,相对磁导率)是非均匀各向异性的,这给实现造成了很大的困难。该文通过将旋转衣区域分成很多三角形,这样便可以通过线性变换将虚拟空间的三角形变形到物理空间中的三角形,随着三角形形状的变化,电磁旋转衣内边界旋转,从而完成电磁旋转衣的设计。基于这种线性方法得出的电磁旋转衣的电参数是分区均匀各向异性的,与传统的非均匀电参数的电磁旋转衣相比,大大降低了实现难度,计算机仿真结果验证了这种设计方法的正确性。

Optical transformation based on coordinate transformation have proposed a few years,then kinds of new electromagnetic devices based on the theory have been put forward,rotators is one of these devices. Rotators can achieve the optical illusion effect. If put something in rotator,people can see the thing after rotation. However,the electrical parameters( the relative permittivity and the relative permittivity) is inhomogeneous and anisotropic. It is difficult to achieve it. This paper divide the region of rotator into many triangles. The triangle in virtual space become into the triangle in physical using linear transformation. With the change of the shape of these triangles,the inner boundary of rotaror rotate,then complete the design of the rotator. The electrical parameters of this rotator is homogeneous and anisotropic in the subarea. Compare with traditional rotators with inhomogeneous electrical parameters,this greatly reduces the difficulty of implementation. Computer simulation results verify the correctness of this design method.