IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i1p145-d1311935.html
   My bibliography  Save this article

Influence of Homo- and Hetero-Junctions on the Propagation Characteristics of Radially Propagated Cylindrical Surface Acoustic Waves in a Piezoelectric Semiconductor Semi-Infinite Medium

Author

Listed:
  • Xiao Guo

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Yilin Wang

    (School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Chunyu Xu

    (Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China)

  • Zibo Wei

    (Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China)

  • Chenxi Ding

    (School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

This paper theoretically investigates the influence of homo- and hetero-junctions on the propagation characteristics of radially propagated cylindrical surface acoustic waves in a piezoelectric semiconductor semi-infinite medium. First, the basic equations of the piezoelectric semiconductor semi-infinite medium are mathematically derived. Then, based on these basic equations and the transfer matrix method, two equivalent mathematical models are established concerning the propagation of radially propagated cylindrical surface acoustic waves in this piezoelectric semiconductor semi-infinite medium. Based on the surface and interface effect theory, the homo- or hetero-junction is theoretically treated as a two-dimensional electrically imperfect interface in the first mathematical model. To legitimately confirm the interface characteristic lengths that appear in the electrically imperfect interface conditions, the homo- or hetero-junction is equivalently treated as a functional gradient thin layer in the second mathematical model. Finally, based on these two mathematical models, the dispersion and attenuation curves of radially propagated cylindrical surface acoustic waves are numerically calculated to discuss the influence of the homo- and hetero-junctions on the dispersion and attenuation characteristics of radially propagated cylindrical surface acoustic waves. The interface characteristic lengths are legitimately confirmed through the comparison of dispersion and attenuation curves calculated using the two equivalent mathematical models. As piezoelectric semiconductor energy harvesters usually work under elastic deformation, the establishment of mathematical models and the revelation of physical mechanisms are both fundamental to the analysis and optimization of micro-scale surface acoustic wave resonators, energy harvesters, and acoustic wave amplification based on the propagation of surface acoustic waves.

Suggested Citation

  • Xiao Guo & Yilin Wang & Chunyu Xu & Zibo Wei & Chenxi Ding, 2024. "Influence of Homo- and Hetero-Junctions on the Propagation Characteristics of Radially Propagated Cylindrical Surface Acoustic Waves in a Piezoelectric Semiconductor Semi-Infinite Medium," Mathematics, MDPI, vol. 12(1), pages 1-32, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:1:p:145-:d:1311935
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/1/145/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/1/145/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:1:p:145-:d:1311935. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.