Spectral self-similarity in fractal one-dimensional photonic structures

Transmission spectra of one-dimensional fractal multilayer structures are found to exhibit self-similar properties. Self-similarity manifests itself in the shape of a transmission envelope (map of transmission dips) rather than in the map of resonance transmission peaks, as is commonly the case with...

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Bibliographic Details
Published inPhotonics and nanostructures Vol. 3; no. 2; pp. 129 - 133
Main Authors Zhukovsky, S.V., Lavrinenko, A.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2005
Subjects
Fractals
Multilayer structures
Scalability
Self-similar spectra
89.75.Da
Scalability
Multilayer structures
Self-similar spectra
Fractals
78.67.Pt
61.43.Hv
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Summary:Transmission spectra of one-dimensional fractal multilayer structures are found to exhibit self-similar properties. Self-similarity manifests itself in the shape of a transmission envelope (map of transmission dips) rather than in the map of resonance transmission peaks, as is commonly the case with spectra of quasiperiodic systems. To observe the self-similarity, one needs to apply a power transformation to the transmittance in addition to the usual frequency scaling. The values of this power as well as the scaling factor have been calculated analytically and found to depend on the geometrical parameters of the structure.
ISSN:1569-4410
1569-4429
DOI:10.1016/j.photonics.2005.09.010