A general model of the mutual impedance between Hertzian Dipoles

We derive a new formula describing the mutual impedance between Hertzian dipoles. The Hertzian dipole model is an antenna model describing the behaviour of very small and infinitessimally thin antennas. In a system of N such dipoles their behaviour is modeled by the impedance matrix Z. The diagonal elements of Z are the self-impedances of the dipoles, whereas the nondiagonal elements contain the respective mutual impedances between the dipoles. In the case of parallel oriented planar placed dipoles a formula describing the mutual impedance has already been derived in 2009. We extend this formula in this Thesis to arbitrary oriented and positioned Hertzian dipoles. This has applications to classical information theory, especially in the MIMO area.

Publication Details

Journal
FreiDok plus (Universitätsbibliothek Freiburg)
Published
2025-10-16
DOI
https://doi.org/10.6094/unifr/271383
Primary Topic
Antenna Design and Analysis
Type
article
Field-Weighted Citation Impact
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article

A general model of the mutual impedance between Hertzian Dipoles

FreiDok plus (Universitätsbibliothek Freiburg)
Antenna Design and Analysis
article

A general model of the mutual impedance between Hertzian Dipoles

article en

Abstract

We derive a new formula describing the mutual impedance between Hertzian dipoles. The Hertzian dipole model is an antenna model describing the behaviour of very small and infinitessimally thin antennas. In a system of N such dipoles their behaviour is modeled by the impedance matrix Z. The diagonal elements of Z are the self-impedances of the dipoles, whereas the nondiagonal elements contain the respective mutual impedances between the dipoles. In the case of parallel oriented planar placed dipoles a formula describing the mutual impedance has already been derived in 2009. We extend this formula in this Thesis to arbitrary oriented and positioned Hertzian dipoles. This has applications to classical information theory, especially in the MIMO area.

FreiDok plus (Universitätsbibliothek Freiburg)
Openalex Percentile: Top 32%
Antenna Design and Analysis
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A general model of the mutual impedance between Hertzian Dipoles · FreiDok plus (Universitätsbibliothek Freiburg) (2025) | TGRS Research Map | TGRS