Parametric resonance of optically trapped aerosols

R. Di Leonardo; G. Ruocco; J. Leach; M. J. Padgett; A. J. Wright; J. M. Girkin; D. R. Burnham; D. McGloin

doi:10.1103/PhysRevLett.99.010601

Parametric resonance of optically trapped aerosols

R. Di Leonardo^*, G. Ruocco, J. Leach, M. J. Padgett, A. J. Wright, J. M. Girkin, D. R. Burnham, D. McGloin

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over- to underdamped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of overdamped systems (beads in liquid solvents) to a damped harmonic oscillator spectrum showing a resonance peak. In this later underdamped 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.

Original language	English
Article number	010601
Number of pages	4
Journal	Physical Review Letters
Volume	99
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevLett.99.010601 https://doi.org/10.1103/PhysRevLett.99.029902
Publication status	Published - 6 Jul 2007

Bibliographical note

Erratum: Parametric resonance of optically trapped aerosols (Physical Review Letters (2007) 90 (010601)) This Letter was published online on 5 July 2007 with a formatting error resulting in Figs. 2 and 3 being inversely placed in the sequence of figures. The figure placement has been corrected as of 6 July 2007. The figures are correct in the printed version of the journal.

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title = "Parametric resonance of optically trapped aerosols",

abstract = "The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over- to underdamped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of overdamped systems (beads in liquid solvents) to a damped harmonic oscillator spectrum showing a resonance peak. In this later underdamped 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.",

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AU - Di Leonardo, R.

AU - Ruocco, G.

AU - Leach, J.

AU - Padgett, M. J.

AU - Wright, A. J.

AU - Girkin, J. M.

AU - Burnham, D. R.

AU - McGloin, D.

N1 - Erratum: Parametric resonance of optically trapped aerosols (Physical Review Letters (2007) 90 (010601)) This Letter was published online on 5 July 2007 with a formatting error resulting in Figs. 2 and 3 being inversely placed in the sequence of figures. The figure placement has been corrected as of 6 July 2007. The figures are correct in the printed version of the journal.

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N2 - The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over- to underdamped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of overdamped systems (beads in liquid solvents) to a damped harmonic oscillator spectrum showing a resonance peak. In this later underdamped 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.

AB - The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over- to underdamped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of overdamped systems (beads in liquid solvents) to a damped harmonic oscillator spectrum showing a resonance peak. In this later underdamped 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.

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Parametric resonance of optically trapped aerosols

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