Localization of electromagnetic waves in three-dimensional fractal cavities.
Localization of electromagnetic waves in three-dimensional fractal cavities.
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DOI：
10.1103/physrevlett.92.093902
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发表时间：
2004-03
影响因子：
8.6
通讯作者：
M. Takeda;S. Kirihara;Y. Miyamoto;K. Sakoda;K. Honda
中科院分区：
文献类型：
--
作者：
M. Takeda;S. Kirihara;Y. Miyamoto;K. Sakoda;K. Honda
三维分形称为门格尔海绵，具有分形维数D=log（20/log（3），由环氧树脂通过立体光刻制造。在12.8 GHz下观察到反射和透射强度的明显衰减，用于具有27 mm的边缘尺寸的立方体试样，其被构造为自相似图案的第三阶段。在此频率下，发现电磁场被限制在样品的中心部分。局域化不是由光子晶体中的光子带隙的存在引起的，而是应该归因于在分形结构中实现的奇异光子态密度。这是第一次报告，这样的三维分形腔中的电磁波的本地化。
Three-dimensional fractals called the Menger sponge, with a fractal dimension D=log(20/log(3, 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.