Localization of electromagnetic waves in three-dimensional fractal cavities

被引:94
作者
Takeda, MW [1 ]
Kirihara, S
Miyamoto, Y
Sakoda, K
Honda, K
机构
[1] Shinshu Univ, Fac Sci, Dept Phys, Nagano 3908621, Japan
[2] Osaka Univ, Ctr Welding & Joining Res, Smart Proc Res Ctr, Osaka 5670047, Japan
[3] Natl Inst Mat Sci, Nanomat Lab, Tsukuba, Ibaraki 3050003, Japan
[4] Shinshu Univ, Fac Sci, Dept Math Sci, Nagano 3908621, Japan
关键词
D O I
10.1103/PhysRevLett.92.093902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Three-dimensional fractals called the Menger sponge, with a fractal dimension D=log20/log3, were fabricated from epoxy resin by stereolithography. Clear attenuation of both reflection and transmission intensity was observed at 12.8 GHz for a cubic specimen with an edge size of 27 mm that was constructed up to the third stage of the self-similar patterns. The electromagnetic field was found to be confined in the central part of the specimen at this frequency. The localization is not caused by the presence of a photonic band gap as in photonic crystals but should be attributed to a singular photon density of states realized in the fractal structure. This is the first report on such localization of electromagnetic waves in three-dimensional fractal cavities.
引用
收藏
页码:093902 / 1
页数:4
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