一种无奇异参数椭圆柱形电磁隐身斗篷的设计基础理论

目的研究无奇异参数的椭圆柱形超材料电磁隐身斗篷的设计方法。方法应用变换光学原理建立空间变换坐标表达式,推导出该斗篷的电磁参数张量,再采用Matlab软件验证所推导张量的无奇异性,最后采用有限元仿真软件验证该斗篷的电磁隐身性能。结果椭圆柱形斗篷具备良好的电磁隐身性能,并且其电磁参数张量的各个分量均无奇异性。结论设计出的空间坐标变换方式能够从理论上实现无奇异参数的超材料电磁隐身斗篷,这种方法也拓展了变换光学原理在超材料隐身装置设计方面的应用。

A Design Fundamental Theory of Elliptic Cylindrical Invisible Cloak with Non-singular Electromagnetic Tensors

Objective To study the design methods of elliptic cylindrical invisible cloak with non-singular electromagnetic tensors. Methods Based on the transformation optics theory, the coordinate expressions of space transformation were built, in order to deduce the electromagnetic tensors of the cloak. Then the non-singularities of the tensors were validated by Matlab software. Finally, simulation software based on finite element method was used to verify the electromagnetic invisible property of the cloak. Results The elliptic cylindrical cloak had good electromagnetic invisible property, and the electromagnetic tensors of the cloak were all non-singular. Conclusion Metamaterial electromagnetic invisible cloak with non-singular tensors could be theoretically realized by the space coordinate transformation designed. This non-singular method exploited the application of transformation optics theory in designing the metamaterial invisible devices.