Nonsingularity in two-dimensional cylindrical invisible cloaks

The method of designing electromagnetic invisible cloaks is usually based on the form-invariance of Maxwell＇s equations in coordinate transformation. The exterior boundary of a cylindrical invisible cloak is unchanged and the interior boundary is extended from that of a point to that of a cylindrica...

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Bibliographic Details
Published in:Chinese physics B 2010-06, Vol.19 (6), p.293-296
Main Author: 王新华 屈绍波 夏颂 五斌科 徐卓 马华 王甲富 顾超 吴翔 鲁磊 周航
Format: Article
Language:English
Subjects:
Boundaries
Coordinate transformations
Exteriors
Mathematical analysis
Maxwell's equations
Simulation
Singularities
Transformations
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Summary:The method of designing electromagnetic invisible cloaks is usually based on the form-invariance of Maxwell＇s equations in coordinate transformation. The exterior boundary of a cylindrical invisible cloak is unchanged and the interior boundary is extended from that of a point to that of a cylindrical region in coordination transformation. This transformation process makes perfect cloaks, but it causes singularity in the constitutive material parameters of cloaks. This singularity makes the cloaks impossible to realize in practice. In order to remove this singularity, this paper sets a small cylindrical region replacing a point in the space transformation. The cylindrical region is so small that it does not affect the invisibility effects, but it can remove the singularity for material parameters. Full wave simulations based on the finite element method were used to verify the designed cloaks.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/6/064102