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Whispering gallery like modes in quartz energy trapping resonators

The modes of the resonators with geometries conforming to the lateral anisotropy of the plates have many very interesting properties that result from a higher symmetry in a particular axis system. When they are excited by sectored elliptical electrodes they can a have a very reduced displacement in their central region. The modes with m-fold symmetry can be efficiently excited by the choice of the electrode parameters. In plane resonators, they can be selectively excited, in the resonators with the non-spherical contour less modes are excited than in usual plano-convex resonators. The resonators using the unspherical contours related to the lateral anisotropy can now be easily obtained using the recent technology. Both types have the potential to constitute very efficient new approaches towards resonators with reduced acoustic dissipation since their mode shapes can minimise the influence of the acoustic losses due to the energy transfer to the fixations. The bevelled resonators using such contours should also present a great interest.