Design Space Exploration of Hemi-Toroidal Fused Quartz Shell Resonators

This paper discusses the selection of parameters for the geometry of micro glass-blown hemi-toroidal Fused Quartz (FQ) resonators. Comprehensive Finite Element (FE) simulations were performed to explore the design space of the shell resonators, focusing on frequency scaling of the operational resonance mode and the spurious resonance modes (tilt, rocking, out-of-plane, and torsional), as a function of shell geometry. It was demonstrated that a separation between resonance frequencies and mode-ordering can be achieved through optimization of the shell geometry at the different range of frequencies.