IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i5p1198-d1084037.html
   My bibliography  Save this article

Numerical Study on the Orthogonality of the Fields Radiated by an Aperture

Author

Listed:
  • Lucas Polo-López

    (Institut d’Electronique et des Technologies du numéRique (IETR), UMR CNRS 6164, INSA Rennes, 35700 Rennes, France
    Group of RadioFrequency: Circuits and Systems (RFCAS), Escuela Politécnica Superior, Universidad Autónoma de Madrid, 28049 Madrid, Spain)

  • Juan Córcoles

    (Group of RadioFrequency: Circuits and Systems (RFCAS), Escuela Politécnica Superior, Universidad Autónoma de Madrid, 28049 Madrid, Spain)

  • Jorge A. Ruiz-Cruz

    (Group of RadioFrequency: Circuits and Systems (RFCAS), Escuela Politécnica Superior, Universidad Autónoma de Madrid, 28049 Madrid, Spain)

  • José R. Montejo-Garai

    (Information Processing and Telecommunications Center, Universidad Politécnica de Madrid, 28040 Madrid, Spain)

  • Jesús M. Rebollar

    (Information Processing and Telecommunications Center, Universidad Politécnica de Madrid, 28040 Madrid, Spain)

Abstract

This work studies the orthogonality of the fields radiated by the different modes of a radiating aperture. Waveguide modes exhibit an orthogonality property at the aperture cross-section that can be used to simplify calculations. However, it is unclear whether this property can be extended to the radiated fields produced by these same modes in apertures antennas, such as horns or open-ended waveguides. A numerical study has been carried out, analysing how the waveguide orthogonality extends to the radiated modal fields. It is observed that propagating modes and also modes that are well below cutoff follow this same behaviour. However, modes that are close to cutoff exhibit values in between those far from this transition region.

Suggested Citation

  • Lucas Polo-López & Juan Córcoles & Jorge A. Ruiz-Cruz & José R. Montejo-Garai & Jesús M. Rebollar, 2023. "Numerical Study on the Orthogonality of the Fields Radiated by an Aperture," Mathematics, MDPI, vol. 11(5), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1198-:d:1084037
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/5/1198/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/5/1198/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:5:p:1198-:d:1084037. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.