Abstract

A coaxial TEM resonant cavity, with normally conducting outer tube and end walls and a superconducting inner rod, is analysed. Assuming Rsn ∝ ω1/2 and Rss ∝ ω2, the surface-resistance cross-over frequency fc for the two conductors is used as a figure of merit and an expression for the unloaded Q-factor is derived. Graphs are presented that enable the Q-factors of mixed-conductor, all-superconductor and all-normal conductor cavities to be compared easily as a function of resonance frequency over the range 106 <f < 1012 Hz with 108 <fc <1011 Hz as a parameter. The graphs can be used for cavity design either to maximise the Q-factor or to maximise the sensitivity of the Q-factor to variation in crossover frequency.

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