IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/863086.html
   My bibliography  Save this article

The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data

Author

Listed:
  • Yao Mao
  • Yongguang Chen
  • Jun Guo

Abstract

We consider the acoustic scattering problem from a crack which has Dirichlet boundary condition on one side and impedance boundary condition on the other side. The inverse scattering problem in this paper tries to determine the shape of the crack and the surface impedance coefficient from the near-field measurements of the scattered waves, while the source point is placed on a closed curve. We firstly establish a near-field operator and focus on the operator’s mathematical analysis. Secondly, we obtain a uniqueness theorem for the shape and surface impedance. Finally, by using the operator’s properties and modified linear sampling method, we reconstruct the shape and surface impedance.

Suggested Citation

  • Yao Mao & Yongguang Chen & Jun Guo, 2015. "The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:863086
    DOI: 10.1155/2015/863086
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/863086.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/863086.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/863086?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:863086. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.