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Wave interaction with a fractal layer

Vladimir V. -Konotop, Zhang Fei, and Luis Vázquez
Phys. Rev. E 48, 4044 – Published 1 November 1993
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Abstract

We investigate the reflection coefficient of a fractal layer in the small-wavelength limit. Taking the layer structure simulated by a devil’s staircase on the Cantor support as an example, we find numerically that the decay of the reflection coefficient with the wave number can be approximated by a power law. We explain this phenomenon analytically based on the two-scale method.

  • Received 8 June 1992

DOI:https://doi.org/10.1103/PhysRevE.48.4044

©1993 American Physical Society

Authors & Affiliations

Vladimir V. -Konotop, Zhang Fei, and Luis Vázquez

  • Departamento de Física Teórica I, Facultad de Ciencias Físicas, Universidad Complutense, E-28040 Madrid, Spain
  • Instituto de Europa Oriental, Universidad Complutense, Somosaguas, E-28023 Madrid, Spain

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Vol. 48, Iss. 5 — November 1993

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