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Optical properties and Poincaré mapping in spherical multilayered systems: periodic, quasiperiodic, and disordered
Author(s) -
DíazdeAnda A.,
NájeraVilleda M.,
Burlak Gennadiy,
ZamudioLara A.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3215
Subject(s) - quasiperiodic function , stack (abstract data type) , transmittance , mathematics , position (finance) , transfer matrix , similarity (geometry) , spectral line , spectrum (functional analysis) , transmission (telecommunications) , mathematical analysis , matrix (chemical analysis) , optics , physics , quantum mechanics , chemistry , image (mathematics) , electrical engineering , finance , artificial intelligence , computer science , economics , computer vision , programming language , engineering , chromatography
We systematically studied the optical properties (narrows peaks position) of the transmission spectra for microspheres coated by a multilayered stack. Three different sequences of spherical stack—periodic, quasiperiodic, and disordered—are studied by the transfer matrix approach. Dependence of the number of resonances in the transmission spectrum as function of number of layers in the stack is numerically investigated with details. It is shown that characteristic shape of the recursive return map forms well‐defined ordered spectrum in the state space. The shape of such structures is different for different frequency ranges and various spherical quantum numbers. For quasiperiodic case, the latter leads to a specific signature of studied sequences and generates the self‐similarity in the transmittance spectra. Copyright © 2014 John Wiley & Sons, Ltd.