IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6434607.html
   My bibliography  Save this article

Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem

Author

Listed:
  • Jiyu Sun
  • Yuhui Han

Abstract

Recently, a new method, called the extended sampling method (ESM), was proposed for the inverse scattering problems. Similar to the classical linear sampling method (LSM), the ESM is simple to implement and fast. Compared to the LSM which uses full-aperture scattering data, the ESM only uses the scattering data of one incident wave. In this paper, we generalize the ESM for the inverse acoustic source problems. We show that the indicator function of ESM, which is defined using the approximated solutions of some linear ill-posed integral equations, is small when the support of the source is contained in the sampling disc and is large when the source is outside. This behavior is similar to the ESM for the inverse scattering problem. Numerical examples are presented to show the effectiveness of the method.

Suggested Citation

  • Jiyu Sun & Yuhui Han, 2020. "Two-Step Extended Sampling Method for the Inverse Acoustic Source Problem," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-8, February.
    • Handle: RePEc:hin:jnlmpe:6434607
    DOI: 10.1155/2020/6434607
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/6434607.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/6434607.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/6434607?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:6434607. 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.