IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/2096058.html
   My bibliography  Save this article

Topological Derivative for Imaging of Thin Electromagnetic Inhomogeneity: Least Condition of Incident Directions

Author

Listed:
  • Won-Kwang Park

Abstract

It is well-known that using topological derivative is an effective noniterative technique for imaging of crack-like electromagnetic inhomogeneity with small thickness when small number of incident directions are applied. However, there is no theoretical investigation about the configuration of the range of incident directions. In this paper, we carefully explore the mathematical structure of topological derivative imaging functional by establishing a relationship with an infinite series of Bessel functions of integer order of the first kind. Based on this, we identify the condition of the range of incident directions and it is highly depending on the shape of unknown defect. Results of numerical simulations with noisy data support our identification.

Suggested Citation

  • Won-Kwang Park, 2018. "Topological Derivative for Imaging of Thin Electromagnetic Inhomogeneity: Least Condition of Incident Directions," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-8, February.
    • Handle: RePEc:hin:jnlamp:2096058
    DOI: 10.1155/2018/2096058
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2018/2096058.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2018/2096058.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/2096058?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:jnlamp:2096058. 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.