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第 42 卷 第 3 期 Vol. 42, No. 3
2023 年 5 月 Journal of Applied Acoustics May, 2023
⋄ 研究报告 ⋄
相位失配弹性平板复合波导中的缺陷态 ∗
宋 乐 1 张乔木 2 刘 欢 3 樊亚仙 1,2 陶智勇 1,2†
(1 广西无线宽带通信与信号处理重点实验室 桂林电子科技大学 桂林 541004)
(2 桂林电子科技大学海洋工程学院 北海 536000)
(3 哈尔滨工程大学物理与光电工程学院 哈尔滨 150001)
摘要:为了在弹性波波导中实现缺陷态的调控,该文基于相位失配原理设计了一种周期性平板波导结构。以
正弦边界弹性波导为例,通过连接具有不同相位的两段波导结构,形成了弹性板中不同程度的缺陷,并分析了
其谱带特性和能量局域化特征。结果表明,禁带中存在两个不同模式的缺陷态,其以透射峰形式出现并随着相
位的改变产生频移。与此同时,两个缺陷态在空间上对应的应力场和位移场分布也具有不同的模态特征。该
文提出的复合弹性波导缺陷态调控方法,不仅为研究弹性波与结构之间的内在联系提供了关键的理论支持,
也为实际弹性波探测器件的设计提供重要参考。
关键词:弹性波;缺陷态;应力分布;局域化;模场调控
中图法分类号: TB535 文献标识码: A 文章编号: 1000-310X(2023)03-0604-07
DOI: 10.11684/j.issn.1000-310X.2023.03.019
Defect states in elastic plate waveguides induced by phase mismatch
SONG Le 1 ZHANG Qiaomu 2 LIU Huan 3 FAN Yaxian 1,2 TAO Zhiyong 1,2
(1 Guangxi Key Laboratory of Wireless Wideband Communication and Signal Processing, Guilin University of Electronic
Technology, Guilin 541004, China)
(2 College of Ocean Engineering, Guilin University of Electronic Technology, Beihai 536000, China)
(3 College of Physics and Optoelectronic Engineering, Harbin Engineering University, Harbin 150001, China)
Abstract: In order to control defect states in elastic waveguides, a periodic flat waveguide structure is designed
based on the phase mismatch principle. Taking the elastic waveguide with sine boundaries as an example,
by connecting two waveguides with different phases, different degrees of defects are formed in the elastic
plate, and its spectral band characteristics and energy localization characteristics are analyzed. The results
show that there are two defect states with different modes in the band gap, which appear in the form of
transmission peaks and produce the frequency shift with the change of phase. At the same time, the distribution
of stress and displacement fields corresponding to the two defect states in the space domain also have different
modal characteristics. In this paper, the study of regulating characteristics in composite waveguides provides
the theoretical support for establishing the internal relationship between elastic waves and structures, which
provides the essential references for practical elastic wave detector design.
Keywords: Elastic waves; Defect modes; Stress distribution; Localization; Mode field regulation
2022-06-21 收稿; 2022-08-08 定稿
广西自然科学基金项目 (2021GXNSFDA075006, 2021GXNSFAA220086), 国家自然科学基金项目 (12064005), 桂林电子科技大学研
∗
究生创新计划资助项目 (2021YCXS034)
作者简介: 宋乐 (1997– ), 男, 河北承德人, 硕士研究生, 研究方向: 信号与信息处理。
† 通信作者 E-mail: zytao@guet.edu.cn