Abstract
The eigenfrequencies of axisymmetric, hard‐walled acoustic cavity resonators have been calculated by using an integral‐equation representation of the Helmholtz equation with Neumann boundary conditions. For axisymmetric shapes, the integral equation is one‐dimensional. Numerical results have been obtained for a perfect sphere, and for slightly deformed spheres, and for cylinders with an internal sphere on axis. The results for slightly deformed spheres are in close agreement with the predictions of boundary‐shape perturbation theory, from which they typically differ by less than 6 parts in 106. The results for cylinders with internal spheres are in excellent agreement with measurements [M. Barmatz et al., J. Acoust. Soc. Am. 73, 725–732 (1983)].
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