Higher Order Reentrant Post Modes in Cylindrical Cavities
Ben T. McAllister, Yifan Shen, Graeme R. Flower, Stephen R. Parker,, and Michael E. Tobar

TL;DR
This paper introduces and characterizes higher order reentrant post modes in cylindrical cavities, expanding the understanding of their properties and potential applications in physics experiments.
Contribution
It demonstrates the existence of higher order reentrant modes derived from the $TM_{01n}$ family, providing detailed analysis of their properties and potential uses.
Findings
Higher order reentrant modes exist in cylindrical cavities.
These modes have distinct frequency tuning and quality factors.
Potential applications in fundamental physics tests are discussed.
Abstract
Reentrant cavities are microwave resonant devices employed in a number of different areas of physics. They are appealing due to their simple frequency tuning mechanism, which offers large tuning ranges. Reentrant cavities are, in essence, 3D lumped LC circuits consisting of a conducting central post embedded in a resonant cavity. The lowest order reentrant mode (which transforms from the mode) has been extensively studied in past publications. In this work we show the existence of higher order reentrant post modes (which transform from the mode family). We characterize these new modes in terms of their frequency tuning, filling factors and quality factors, as well as discuss some possible applications of these modes in fundamental physics tests. The appendix contains a comment on a paper related to this work.
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