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

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

2007-02-19

arxiv.org/abs/cond-mat/0702434v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 6 figures

Scientific paper

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.

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