Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits

IF 4.5 2区工程技术 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-07-31 DOI:10.1007/s10483-023-3011-7

Youqi Zhang, Rongyu Xia, Jie Xu, Kefu Huang, Zheng Li

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引用次数: 1

Abstract

The investigations of surface waves in the piezoelectric medium bring out great possibility in designing smart surface acoustic wave (SAW) devices. It is important to study the dispersion properties and manipulation mechanism of surface waves in the semi-infinite piezoelectric medium connected with periodic arrangement of shunting circuits. In this study, the extended Stroh formalism is developed to theoretically analyze the dispersion relations of surface waves under different external circuits. The band structures of both the Rayleigh wave and the Bleustein-Gulyaev (BG) wave can be determined and manipulated with proper electrical boundary conditions. Furthermore, the electromechanical coupling effects on the band structures of surface waves are discussed to figure out the manipulation mechanism of adjusting electric circuit. The results indicate that the proposed method can explain the propagation behaviors of surface waves under the periodic electrical boundary conditions, and can provide an important theoretical guidance for designing novel SAW devices and exploring extensive applications in practice.

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具有周期分流电路的压电介质中表面波的理论分析

对压电介质中表面波的研究为设计智能声表面波器件提供了巨大的可能性。研究并联电路周期性排列的半无限压电介质中表面波的色散特性和操纵机制具有重要意义。在本研究中，发展了扩展的Stroh形式来从理论上分析不同外部电路下表面波的色散关系。瑞利波和Bleustein-Gulyaev（BG）波的能带结构都可以在适当的电边界条件下确定和操纵。此外，还讨论了机电耦合对表面波能带结构的影响，以找出调整电路的操作机制。结果表明，该方法能够解释周期性电边界条件下表面波的传播行为，为设计新型声表面波器件和探索其在实践中的广泛应用提供了重要的理论指导。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics and Mechanics-English Edition 数学-力学

CiteScore

6.70

自引率

9.10%

发文量

106

审稿时长

2.0 months

期刊介绍： Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.