The barrel shaped resonator for the photon storage ring

The eigenmodes of a barrel shaped resonator are analyzed to optimize the optical cavity of the photon storage ring. The results are obtained by the Galerkin technique and the quasi-optics approximation. It is shown that there are two types of eigenmodes in the system: the quasi-E and quasi-H modes. The dependences of the mode losses and the field distribution on the resonator geometry and wall impedances are examined. The effects of intermodal coupling are considered.