Localization of electromagnetic waves in three-dimensional fractal cavities

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 const...

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Bibliographic Details
Published in:Physical review letters 2004-03, Vol.92 (9), p.093902-093902, Article 093902
Main Authors: Takeda, Mitsuo Wada, Kirihara, Soshu, Miyamoto, Yoshinari, Sakoda, Kazuaki, Honda, Katsuya
Format: Article
Language:English
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.92.093902