31 May 2002 Scaling properties of multilayer fractal structures
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Abstract
Multilayer fractal structures, being a subclass of nonperiodic yet deterministic media are studied in relation to the problem of classical wave propagation. A general case of fractal multilayers is considered. Numerical calculations reveal that the geometry and optical spectra of such structures are directly connected. Namely, it has been found that structures and spectra exhibit exactly the same scaling relations, which are easily derived from the parameters used in the stack construction procedure. Sharp resonant transmission peaks are found to split when the number of generation of the fractal structure increases, and the number of components in such split multiplets is again directly linked to the stack geometrical features. Treating a multilayer structure as a complex coupled-cavity system yields straightforward physical explanations of the properties found. Likeness of fractal properties to occur in the spectra of fractal multilayers is discussed.
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S. V. Zhurkovsky, S. V. Zhurkovsky, Andrei V. Lavrinenko, Andrei V. Lavrinenko, Sergey V. Gaponenko, Sergey V. Gaponenko, } "Scaling properties of multilayer fractal structures", Proc. SPIE 4705, Saratov Fall Meeting 2001: Coherent Optics of Ordered and Random Media II, (31 May 2002); doi: 10.1117/12.469000; https://doi.org/10.1117/12.469000
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