# Topology Optimization of High‐Performance Optomechanical Resonator

## TL;DR

This paper introduces compact mechanical resonators with high performance for quantum and sensing applications.

## Contribution

The novel use of topology optimization to enhance resonator performance at higher-order eigenmodes.

## Key findings

- Resonators achieve high frequencies and enhanced Qf products through topology optimization.
- Edge bending losses are minimized, improving damping and intrinsic performance.

## Abstract

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.

Compact mechanical resonators designed to operate at higher‐order modes are presented, achieving high frequencies and enhanced quality factor‐frequency (Qf) products. Using topology optimization, edge losses are reduced and damping is improved. These resonators offer strong performance in a small footprint, making them ideal for quantum transduction, optomechanics, and advanced sensing applications.