Parametric Resonance of Optically Trapped Aerosols

The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over to under-damped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of over-damped systems (beads in liquid solvents), to a damped harmonic oscillator...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2007-02
Main Authors: R Di Leonardo, Ruocco, G, Leach, J, Padgett, M J, Wright, A J, Girkin, J M, Burnham, D R, McGloin, D
Format: Article
Language:English
Subjects:
Beads
Exact solutions
Harmonic oscillators
Oscillators
Power spectra
Resonant frequencies
Variations
Water drops
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over to under-damped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of over-damped systems (beads in liquid solvents), to a damped harmonic oscillator spectrum showing a resonance peak. In this later under-damped regime, we excite parametric resonance by periodically modulating the trapping power at twice the resonant frequency. The power spectra of position fluctuations are in excellent agreement with the obtained analytical solutions of a parametrically modulated Langevin equation.
ISSN:2331-8422
DOI:10.48550/arxiv.0702557