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Neumann Boundary Problem for a Rotating Spherical Cavity

In the paper, Neumann boundary value problem for a rotation spherical cavity is solved. Eigen values are calculated for different fillings of the cavity, taking into account losses in the media inside the cavity. The numerical results are presented. It is shown, that for application of a resonant rotation rate measurement of a microwave cavity it is required to excite electromagnetic field of non-zero order.