2001, Volume 4, Number 4, pp.383-389
Non-conventional layered dielectric media, including quasi-periodic Fibonacci stacks
and model fractal Cantor-like structures are analyzed in terms of their spectral properties.
Optical transmission spectra for such media are found to exhibit scalability and self-similarity.
For Cantor structures, strong correlation between geometrical and spectral properties is discovered.
Fractal behavior of Cantor spectra are discussed and investigated. Qualitative estimation reveals that the
spectral curve represents a fractal with a dimension between 1 and 2, while
the transmission peaks are distributed in a non-fractal way. The results obtained are
also applicable for the eigenvalue problem in a Cantor-like potential, as well as
to propagation of elastic waves in stratified media
Key words: dielectric multilayers, cantor structures, fractal spectra, PBGs
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