Self-similar structures occur naturally and have been employed to engineer exotic physical properties. Here we show that acoustic modes of a fractal-like system of tensioned strings can display increased mechanical quality factors due to the enhancement of dissipation dilution. We describe a realistic resonator design in which the quality factor of the fundamental mode is enhanced by as much as two orders of magnitude compared to a simple string with the same size and tension. Our findings can open new avenues in force sensing, cavity quantum optomechanics and experiments with suspended test masses.
@article{arxiv.1912.07439,
title = {Fractal-like mechanical resonators with soft-clamped fundamental mode},
author = {Sergey A. Fedorov and Alberto Beccari and Nils J. Engelsen and Tobias J. Kippenberg},
journal= {arXiv preprint arXiv:1912.07439},
year = {2020}
}