Cloak for curvilinearly anisotropic media in conduction

Cloak for curvilinearly anisotropic media in conduction
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DOI:
10.1063/1.2988181
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发表时间:
2008-09-15
影响因子:
4
通讯作者:
Chen, Jun-Shan
Chen, Jun-Shan
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chen, Tungyang;Weng, Chung-Ning;Chen, Jun-Shan

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我们探索在电导率背景下用曲线各向异性背景材料隐藏区域的可能性。具有曲线各向异性的材料在特定曲线坐标下具有恒定的特性。对于圆柱形和球形各向异性固体,斗篷中心和材料坐标原点通常不重合。我们证明,结合从斗篷中心到材料原点的刚体平移,先前的坐标变换过程仍然适用。但现在变形后的材质规格取决于斗篷中心的位置。通过有限元模拟验证了斗篷参数的有效性。 (c) 2008 年美国物理研究所。
We explore the possibility to cloak a region in curvilinearly anisotropic background materials in the context of conductivity. Materials with curvilinear anisotropy possess constant properties in specific curvilinear coordinate. For cylindrically and spherically anisotropic solids, the cloak center and the origin of material coordinate are generally not collocated. We show that in combination with a rigid-body translation from the cloak center to the material origin, the previous coordinate transformation procedure remains applicable. But now the transformed material specifications depend on the position of cloak center. The validity of the cloak parameters is verified by finite element simulations. (c) 2008 American Institute of Physics.