{"title":"Statistics of Lyapunov exponent in random Fibonacci multilayer","authors":"Pasquale Falcone and Luigi Moretti","doi":"10.1088/2040-8986/ad699d","DOIUrl":null,"url":null,"abstract":"We numerically investigated the localization properties of band-gap and band-edge modes in a one-dimensional random Fibonacci optical multilayer. The statistics of the Lyapunov exponent (LE) reveal distinct behaviors of localization effects for band-edge and band-gap modes as function of disorder strength. In particular, a deviation from the single parameter scaling theory (SPST) of localization was observed within a frequency window corresponding to the band-gap of an ordered Fibonacci multilayer. Different band-gaps show different SPST dynamics. To provide a physical explanation for the violation of SPST, a close correlation between the frequency distribution of the resonant modes in the band-gap and the variance of the LE has been found. The spatial distribution of resonant modes has been reported and discussed. Finally, the dynamics of the gap closing of the two main band-gaps as function of the disorder strength has been analyzed.","PeriodicalId":16775,"journal":{"name":"Journal of Optics","volume":"12 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Optics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/2040-8986/ad699d","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
We numerically investigated the localization properties of band-gap and band-edge modes in a one-dimensional random Fibonacci optical multilayer. The statistics of the Lyapunov exponent (LE) reveal distinct behaviors of localization effects for band-edge and band-gap modes as function of disorder strength. In particular, a deviation from the single parameter scaling theory (SPST) of localization was observed within a frequency window corresponding to the band-gap of an ordered Fibonacci multilayer. Different band-gaps show different SPST dynamics. To provide a physical explanation for the violation of SPST, a close correlation between the frequency distribution of the resonant modes in the band-gap and the variance of the LE has been found. The spatial distribution of resonant modes has been reported and discussed. Finally, the dynamics of the gap closing of the two main band-gaps as function of the disorder strength has been analyzed.
期刊介绍：
Journal of Optics publishes new experimental and theoretical research across all areas of pure and applied optics, both modern and classical. Research areas are categorised as:
Nanophotonics and plasmonics
Metamaterials and structured photonic materials
Quantum photonics
Biophotonics
Light-matter interactions
Nonlinear and ultrafast optics
Propagation, diffraction and scattering
Optical communication
Integrated optics
Photovoltaics and energy harvesting
We discourage incremental advances, purely numerical simulations without any validation, or research without a strong optics advance, e.g. computer algorithms applied to optical and imaging processes, equipment designs or material fabrication.
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