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25 April 2024
 
  » pubmed » pmid15089465

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Localization of electromagnetic waves in three-dimensional fractal cavities
Mitsuo Wada Takeda ; Soshu Kirihara ; Yoshinari Miyamoto ; Kazuaki Sakoda ; Katsuya Honda ;
Date 5 Mar 2004
Journal Phys Rev Lett, 92 (9), 093902
AbstractThree-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.
Source PubMed, pmid15089465
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