Europhys. Lett.
Volume 66, Number 3, May 2004
Page(s) 455 - 461
Section Interdisciplinary physics and related areas of science and technology
Published online 01 April 2004
Europhys. Lett., 66 (3) , pp. 455-461 (2004)
DOI: 10.1209/epl/i2003-10226-8

Spectral scalability as a result of geometrical self-similarity in fractal multilayers

S. V. Zhukovsky, A. V. Lavrinenko and S. V. Gaponenko

Institute of Molecular and Atomic Physics, National Academy of Sciences of Belarus Minsk 220072, Belarus

(Received 6 October 2003; accepted 3 March 2004)

The optical spectra of fractal multilayer dielectric structures have been shown to possess spectral scalability, which has been found to be directly related to the structure's spatial (geometrical) self-similarity. Phase and amplitude scaling relations, as well as effects of finite structure size, have been derived.

89.75.Da - Systems obeying scaling laws.
73.21.Ac - Multilayers.
61.43.Hv - Fractals; macroscopic aggregates (including diffusion-limited aggregates).

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