Abstract
In this paper the resonant frequency of the nosed-in cavity is studied as a function of the cavity dimensions. Maxwell's differential equations and boundary conditions are converted into an integral equation which is solved approximately by the Ritz variational method. The size and shape of the cavity are fixed by specification of the dimensions (cf. Fig. 1) r1 and r2, the inner and outer radii; εI, the post length and εII, the gap space. If the cavity is to resonate to the wave-length λ, only three of its dimensions can be given independently; the fourth will be a function of the given three and the wave number k=2π/λ. For fixed r1/r2 the dependence of kεI on kεII is calculated with a precision of 1 percent.
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