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Wave Propagation in the Cantor-Set Media: Chaos from Fractal

Propagation of waves in the Cantor-set media is investigated by a renormalization-group type method. We find fixed points for complete reflection, $T^*=0$, and for complete transmission, $T^*=1$. In addition, the wave numbers for which transmission coefficients show chaotic behaviors are reported. The results obtained are for optical waves, and they can be tested in optical experiments. Our method could be applied to any wave propagation through the Cantor set.

preprint2007arXivOpen access
Kenta EsakiMasatoshi SatoMahito Kohmoto
cond-mat.mes-hall
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Kenta EsakiMasatoshi SatoMahito Kohmoto

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