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

Zhang，Youqi1; Xia，Rongyu1; Xu，Jie1; Huang，Kefu2; Li，Zheng1

2023-08-01

10.1007/s10483-023-3011-7

Applied Mathematics and Mechanics (English Edition)   Impact Factor & Quartile

0253-4827

1573-2754

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.

electromechanical coupling metamaterial O353 phononic crystal piezoelectricity Stroh formalism surface wave

SCI

English

Others

Mathematics ; Mechanics

Mathematics, Applied ; Mechanics

WOS:001040313800004

SHANGHAI UNIV

ENGINEERING

2-s2.0-85166273342

Scopus

1.State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Engineering Science,Peking University,Beijing,100871,China
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,Guangdong Province,518055,China

Zhang，Youqi,Xia，Rongyu,Xu，Jie,et al. Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits[J]. Applied Mathematics and Mechanics (English Edition),2023,44(8):1287-1304.

Zhang，Youqi,Xia，Rongyu,Xu，Jie,Huang，Kefu,&Li，Zheng.(2023).Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits.Applied Mathematics and Mechanics (English Edition),44(8),1287-1304.

Zhang，Youqi,et al."Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits".Applied Mathematics and Mechanics (English Edition) 44.8(2023):1287-1304.