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

Lucas Polo-López, Juan Córcoles, Jorge A. Ruiz-Cruz (), José R. Montejo-Garai and Jesús M. Rebollar
Additional contact information
Lucas Polo-López: Institut d’Electronique et des Technologies du numéRique (IETR), UMR CNRS 6164, INSA Rennes, 35700 Rennes, France
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

Mathematics, 2023, vol. 11, issue 5, 1-10

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.

Keywords: antenna; aperture; orthogonality; modal field; waveguide (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/5/1198/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1198/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:5:p:1198-:d:1084037

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().