An arbitrarily shaped cloak with nonsingular and homogeneous parameters designed using a twofold transformation

An arbitrarily shaped cloak with nonsingular and homogeneous parameters designed using a twofold transformation
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DOI:
10.1088/2040-8978/12/9/095103
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发表时间:
2010-09-01
期刊:
影响因子:
2.1
通讯作者:
Tang, Xiaohong
Tang, Xiaohong
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Han, Tiancheng;Qiu, Chengwei;Tang, Xiaohong

文献摘要

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通过将任意N边多边形区域划分为N个三角形区域,采用独立的双重空间压缩,并对多边形斗篷的内边界进行平滑处理,得到了一种具有非奇异性和齐次参数的任意非对称斗篷.在每个三角形区域中,首先沿三角形的一侧沿着拉伸一个小线段;然后沿另一侧沿着进行第二次变换以创建配对三角形。因此,内边界将是连续的,并且采取与外边界类似的形状。建议的斗篷是非奇异的,而且每个区域的斗篷是由均匀的材料。
An arbitrarily asymmetrical cloak with nonsingular and homogeneous parameters is obtained by dividing an arbitrary N-sided polygonal region into N triangular regions, applying an independent twofold spatial compression, and smoothing the inner boundary of the polygonal cloak. In each triangular region, a small line segment is first stretched along one side of the triangle; this is followed by a second transformation along the other side which is carried out to create a pairing triangle. The inner boundary will thus be continuous and take a shape similar to the outer boundary. The proposed cloak is nonsingular and moreover each region of the cloak is composed of homogeneous materials.