Resonant Frequencies and Fields in a Cavity Containing a Magnetoplasma Dielectric

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Abstract
The problem of a microwave cavity filled with a uniform, cold magnetoplasma is solved exactly. The results are a set of three nonlinear simultaneous equations for the frequency and two spatial parameters. Explict expressions for all field components for oscillations of a circular cylindrical cavity are given. Numerical results are given showing frequencies and spatial parameters of eight resonant modes in a particular cavity with the cyclotron frequency equal to the unloaded TE111 frequency. Four of the modes correspond to the TE111 resonance and four correspond to the TM111 resonance. In addition, there is a plasma type of resonance at a frequency below the plasma frequency and below the whistler resonance.

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