{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/impedance-and-voltage-power-spectra-of-a","title":"Impedance and voltage power spectra of a monopole antenna in a warm plasma -- derivation and application to CubeSats","arxiv_id":"1909.06786","date":"2019-09-15","proceeding":null,"authors":["Ronald Maj","Iver H. Cairns","M. M. Martinović"],"abstract":"The impedance for a monopole antenna is derived and compared with the cases for wire dipole and double-sphere antennas. This derivation produces a new expression for the monopole antenna response function, $F_{m1}(x)$. The monopole, wire dipole, and double-sphere response functions are compared by modeling an antenna in Earth's ionospheric plasma (i.e. electrostatic and collisionless) and predicting the antenna capacitance and voltage power spectra for quasi-thermal noise (QTN) and shot noise. The monopole antenna current distribution is assumed to be a half-triangular current distribution (considering only the positive half of the triangular distribution). The predictions for the shot noise and capacitance presented problems, as the integral over wavenumber-space or $k$-space did not converge for large values of $k$. The derived expression therefore remains a current problem and necessitates future work to determine a more general expression. In this paper we bring the problem of an appropriate analytic monopole antenna response function to the attention of the community and outline a number of tests that can be used to verify any future expression.","url_abs":"http://arxiv.org/abs/1909.06786v1","url_pdf":"http://arxiv.org/pdf/1909.06786v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"impedance-and-voltage-power-spectra-of-a","repo_url":"https://github.com/ronaldmaj/Monopole_Paper_Calc_Fig_Script","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}