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.

arXiv commentIn the revised version we discuss elastic response of a submicron gold nanoparticle with resonant response in GHz

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Cited by in corpus (5)

• Nanoscale design of the local density of optical states
• Quasinormal mode theory of elastic Purcell factors and Fano resonances of optomechanical beams
• Near-field acoustic imaging with a caged bubble
• Acoustic diamond resonators with ultra-small mode volumes
• Quasinormal mode representation of radiating resonators in open phononic systems