An analysis of a cylindrical cavity with radial vanes

An analysis is given for evaluating the resonance frequencies of modes of lower orders in a cylindrical cavity having radial vanes. The procedure involves the use of variational methods for obtaining successively better approximations to the resonance frequencies and the field configurations. The trial field is chosen to satisfy the boundary conditions at the vanes. This makes the procedure valid even when the perturbations introduced by the vanes are large. Thus good agreement is obtained between computed and experimentally observed resonance frequencies for varying degrees of penetration by a pair of vanes, the change in frequency produced by the vanes being up to 28%.