Topology Optimization of High-Performance Optomechanical Resonator.

High quality mechanical resonators are critical for driving advances in quantum information technologies, precision sensing, and optomechanics. However, achieving compact resonator designs that maintain high performance is a key challenge. In this study, a new class of compact resonators optimized to operate at higher-order eigenmodes is presented, achieving both high frequencies and enhanced quality factor-frequency (Qf) products. By employing topology optimization to maximize the damping dilution factor, these resonators achieve minimized edge bending losses and enhanced intrinsic damping. Their high-(Qf) performance and compact form factor position these resonators as promising candidates for applications in quantum information transduction, advanced optomechanical systems, and next-generation sensing technologies.