Acoustic Band Gap Extension in One-Dimensional Solid/Fluid Phononic Crystal Heterostructure

Q1 Mathematics
X. Xiao, R. Chen
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引用次数: 3

Abstract

The propagation of elastic longitudinal waves in one-dimensional (1D) phononic crystals (PNCs) consisting of alternating solid and fluid media is comprehensively analyzed in theory. We demonstrate the acoustic band gap (ABG) structure determined by the dispersion relation for longitudinal waves at normal incidence. According to the band structure, we design a sub-PNC by setting a reasonable thickness ratio of fluid and solid media, and then form a phononic heterostructure by merging this PNC and other PNC designed in advance. We have shown that the wide band gap exists in such a phononic heterostructure for elastic longitudinal waves at normal incidence. For oblique incidence, the wide band gap shifts towards high frequency regions, meanwhile a low-frequency band gap is split.
一维固体/流体声子晶体异质结构的能带扩展
从理论上全面分析了弹性纵波在由固体和流体交替介质组成的一维声子晶体中的传播。本文研究了由垂直入射纵波色散关系决定的声波带隙结构。根据能带结构,我们通过设定合理的流固介质厚度比设计了一个子PNC,然后将该PNC与之前设计的其他PNC合并形成声子异质结构。我们已经证明,在这种声子异质结构中,弹性纵波在法向入射时存在宽带隙。斜入射时,宽带隙向高频区偏移,低频带隙分裂。
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来源期刊
CiteScore
3.90
自引率
0.00%
发文量
0
审稿时长
4.5 months
期刊介绍: Currently known as Journal of Theoretical and Computational Acoustics (JTCA).The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations. The journal strives to be flexible in the type of high quality papers it publishes and their format. Equally desirable are Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational acoustics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research in which other than strictly computational arguments may be important in establishing a basis for further developments. Tutorial review papers, covering some of the important issues in Computational Mathematical Methods, Scientific Computing, and their applications. Short notes, which present specific new results and techniques in a brief communication. The journal will occasionally publish significant contributions which are larger than the usual format for regular papers. Special issues which report results of high quality workshops in related areas and monographs of significant contributions in the Series of Computational Acoustics will also be published.
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