P.D.S de Lima , E.C.M. Tinoco , M.P.M. de Sousa , J.M. de Araújo , F.A.L. Santiago , C.H.O. Costa , C.G. Bezerra
{"title":"Transmission properties of Kolakoski aperiodic phononic crystals","authors":"P.D.S de Lima , E.C.M. Tinoco , M.P.M. de Sousa , J.M. de Araújo , F.A.L. Santiago , C.H.O. Costa , C.G. Bezerra","doi":"10.1016/j.wavemoti.2025.103541","DOIUrl":null,"url":null,"abstract":"<div><div>We employ a transfer-matrix treatment to investigate the transmission, dispersion relation and localization properties of one-dimensional aperiodic phononic crystals based on the Kolakoski sequence. We consider three structural modifications (duplication, mirror, and conjugation) in lead-epoxy-composed materials embedded within an aluminium matrix. Our numerical experiments focus on longitudinal elastic wave propagation in an ultrasound frequency regime for different incident angles. The number of perfect transmission peaks and the band gaps distribution sensibly varies for the modified arrangements. In particular, mirrored structures favour the appearance of perfect transmission peaks, while narrower band gaps are present in conjugated ones. Our results pave out technological applications of this new aperiodic sequence on the phononic device design.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103541"},"PeriodicalIF":2.5000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165212525000526","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
We employ a transfer-matrix treatment to investigate the transmission, dispersion relation and localization properties of one-dimensional aperiodic phononic crystals based on the Kolakoski sequence. We consider three structural modifications (duplication, mirror, and conjugation) in lead-epoxy-composed materials embedded within an aluminium matrix. Our numerical experiments focus on longitudinal elastic wave propagation in an ultrasound frequency regime for different incident angles. The number of perfect transmission peaks and the band gaps distribution sensibly varies for the modified arrangements. In particular, mirrored structures favour the appearance of perfect transmission peaks, while narrower band gaps are present in conjugated ones. Our results pave out technological applications of this new aperiodic sequence on the phononic device design.
期刊介绍：
Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics.
The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.
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