Elastic Purcell effect
Abstract
In this work, we introduce an elastic analog of the Purcell effect and show theoretically that spherical nanoparticles can serve as tunable and robust antennas for modifying the emission from localized elastic sources. This effect can be qualitatively described by introducing elastic counterparts of the familiar electromagnetic parameters: local density of elastic states, elastic Purcell factor, and effective volume of elastic modes. To illustrate our framework, we consider the example of a submicron gold sphere as a generic elastic GHz antenna and find that shear and mixed modes of low orders in such systems offer considerable elastic Purcell factors. This formalism opens pathways towards extended control over dissipation of vibrations in various optomechanical systems and contributes to closing the gap between classical and quantum-mechanical treatments of phonons localized in elastic nanoresonators.
Cite
@article{arxiv.1802.02038,
title = {Elastic Purcell effect},
author = {Mikołaj K. Schmidt and L. G. Helt and Christopher G. Poulton and M. J. Steel},
journal= {arXiv preprint arXiv:1802.02038},
year = {2018}
}
Comments
In the revised version we discuss elastic response of a submicron gold nanoparticle with resonant response in GHz