Derivation of the Antenna Contribution to the Reverberation-Chamber $Q$-factor based on Antenna Scattering-Matrix Theory

[2403.09894] Derivation of the Antenna Contribution to the Reverberation-Chamber $Q$-factor based on Antenna Scattering-Matrix Theory Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Applied Physics arXiv:2403.09894 (physics) [Submitted on 14 Mar 2024 ( v1 ), last revised 20 May 2026 (this version, v3)] Title: Derivation of the Antenna Contribution to the Reverberation-Chamber $Q$-factor based on Antenna Scattering-Matrix Theory Authors: Julien de Rosny , Youssef Rammal , Ismaïl Ahmed Bouha , François Sarrazin View a PDF of the paper titled Derivation of the Antenna Contribution to the Reverberation-Chamber $Q$-factor based on Antenna Scattering-Matrix Theory, by Julien de Rosny and 2 other authors View PDF HTML (experimental) Abstract: A radio antenna is primarily designed to convert electromagnetic waves into electrical current and vice versa. However, a part of the incident wavefield is scattered due to structural effects andreflection at the antenna's electrical port. Because the reflected power depends on the load impedance, an antenna can also be referred to as a loaded scatterer. Its interaction with electromagnetic waves is characterized by absorption and scattering cross-sections (ACS and SCS). When immersed in a diffuse field, such as the one generated within a reverberation chamber (RC), the impact of the loaded antenna is determined by averaging these properties over incident angles. Of particular interest is the averaged ACS from which one can derive the antenna contribution to the RC quality factor (Q-factor). Current formulations rely on different power budget analyses which do not account for wave interferences between the ingoing and outgoing fields. Moreover, existing formulations consistently neglect the structural component. In this paper, we introduce a rigorous formulation of the antenna contribution to the RC Q-factor which takes into account the aforementioned effects. The antenna is modeled using the scattering-matrix theory, which linearly links the ingoing and outgoing waves in terms of spherical harmonics expansion. The derived theory is validated using several numerical simulations based on a Method-of-Moment code. The model's ability to retrieve antenna properties from multiple Q-factor estimations in an RC is then demonstrated. All results are compared with existing formulations. Subjects: Applied Physics (physics.app-ph) Cite as: arXiv:2403.09894 [physics.app-ph] (or arXiv:2403.09894v3 [physics.app-ph] for this version) https://doi.org/10.48550/arXiv.2403.09894 Focus to learn more arXiv-issued DOI via DataCite Submission history From: François Sarrazin [ view email ] [v1] Thu, 14 Mar 2024 22:01:00 UTC (297 KB) [v2] Fri, 1 May 2026 09:24:47 UTC (1,713 KB) [v3] Wed, 20 May 2026 08:09:59 UTC (1,713 KB) Full-text links: Access Paper: View a PDF of the paper titled Derivation of the Antenna Contribution to the Reverberation-Chamber $Q$-factor based on Antenna Scattering-Matrix Theory, by Julien de Rosny and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.app-ph < prev | next > new | recent | 2024-03 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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