基于线变换的椭圆柱外隐身斗篷的设计研究
Design and study of elliptical cylinder external cloak based on line-transformation
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摘要: 基于线变换方法与互补媒质理论提出了线变换下的椭圆柱外隐身斗篷,并得到了相应外隐身斗篷材料本构参数张量的表达式.根据导出的本构参数张量,利用电磁仿真软件分别对不同长度线段的外斗篷进行了仿真验证,仿真结果证实了所得到的本构参数张量的正确性.这种外斗篷的材料参数只在轴向变化,横向参数为常数,易于用超介质制备.考虑到损耗对隐身效果的影响,得到了引入损耗后的外斗篷磁场分布.最后给出了本构参数的分布.本文的研究为利用超介质制备外隐身斗篷提供了一种新的可行的方法.Abstract: Electromagnetic external cloak is an important device, which can make an object outside its domain invisible, meanwhile the object can exchange information with the outer region. Based on line-transformation and the concept of complementary medium, an elliptical cylindrical external cloak with only axial parameter changed is designed in this paper. The expressions of material parameters are derived, and then the performance of the elliptical cylindrical external cloak is simulated using the full wave simulation software. The results obtained confirm the correctness of constitutive parameters tensor. In addition, the effects of loss on performation of external cloak are investigated. Finally, the distribution of constitutive tensors is also investigated. This work provide a feasible way to fabricate matematerial-assisted elliptical cylindcial external cloak.
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