IDEAS home Printed from https://ideas.repec.org/a/spr/pardea/v1y2020i6d10.1007_s42985-020-00043-x.html
   My bibliography  Save this article

Asymptotic modelling of Skin-effects in coaxial cables

Author

Listed:
  • Geoffrey Beck

    (IMB-Institut de Mathématiques de Bordeaux)

  • Sébastien Imperiale

    (Inria Saclay-Ile-de-France
    LMS, Ecole Polytechnique, CNRS, Université Paris-Saclay)

  • Patrick Joly

    (POems, Inria Saclay-Ile-de-France, CNRS, ENSTA)

Abstract

In this work we tackle the modeling of non-perfectly conducting thin coaxial cables. From the non-dimensionnalised 3D Maxwell’s equations, we derive, by asymptotic analysis with respect to the (small) transverse dimension of the cable, a simplified effective 1D model and an effective reconstruction procedure of the electric and magnetic fields. The derived effective model involves a fractional time derivatives that accounts for the so-called skin effects in highly conducting regions.

Suggested Citation

  • Geoffrey Beck & Sébastien Imperiale & Patrick Joly, 2020. "Asymptotic modelling of Skin-effects in coaxial cables," Partial Differential Equations and Applications, Springer, vol. 1(6), pages 1-34, December.
    • Handle: RePEc:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00043-x
    DOI: 10.1007/s42985-020-00043-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s42985-020-00043-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s42985-020-00043-x?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:spr:pardea:v:1:y:2020:i:6:d:10.1007_s42985-020-00043-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.