IDEAS home Printed from https://ideas.repec.org/a/taf/tewaxx/v32y2018i7p886-898.html
   My bibliography  Save this article

On the representation of electromagnetic fields in closed waveguides using four scalar potentials

Author

Listed:
  • M. D. Malykh
  • L. A. Sevastianov
  • A. A. Tiutiunnik
  • N. E. Nikolaev

Abstract

The investigation of the electromagnetic field in a regular waveguide filled with a homogeneous substance reduces to the study of two independent boundary value problems for the Helmholtz equation. In the case of a waveguide filled with an inhomogeneous substance, a relationship arises between the modes of these two problems, which in numerical experiments can not always be fully taken into account. In this paper, we will show how to rewrite the Helmholtz equations in the “Hamiltonian form” to express this connection explicitly. In this case, the problem of finding monochromatic waves in a waveguide with arbitrary filling will be reduced to an infinite system of ordinary differential equations in a properly constructed Hilbert space. The results of numerical experiments on finding normal waves, realized in the computer algebra system Sage, are presented.

Suggested Citation

  • M. D. Malykh & L. A. Sevastianov & A. A. Tiutiunnik & N. E. Nikolaev, 2018. "On the representation of electromagnetic fields in closed waveguides using four scalar potentials," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(7), pages 886-898, May.
    • Handle: RePEc:taf:tewaxx:v:32:y:2018:i:7:p:886-898
    DOI: 10.1080/09205071.2017.1409137
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/09205071.2017.1409137
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/09205071.2017.1409137?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.

    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:taf:tewaxx:v:32:y:2018:i:7:p:886-898. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/tewa .

    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.