Parametric resonance of optically trapped aerosols

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

    Research output: Contribution to journalArticle

    57 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. 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. © 2007 The American Physical Society
    Original languageEnglish
    Pages (from-to)010601-1-010601-4
    JournalPhysical Review Letters
    Volume99
    Issue number1
    DOIs
    Publication statusPublished - 2007

    Fingerprint

    aerosols
    beads
    harmonic oscillators
    resonant frequencies
    power spectra
    trapping
    oscillations
    liquids
    water

    Keywords

    • Aerosols
    • Lasers and laser optics
    • Laser trapping
    • Optical tweezers

    Cite this

    Di Leonardo, R., Ruocco, G., Leach, J., Padgett, M. J., Wright, A. J., Girkin, J. M., ... McGloin, D. (2007). Parametric resonance of optically trapped aerosols. Physical Review Letters, 99(1), 010601-1-010601-4. https://doi.org/10.1103/PhysRevLett.99.010601
    Di Leonardo, R. ; Ruocco, G. ; Leach, J. ; Padgett, M. J. ; Wright, A. J. ; Girkin, J. M. ; Burnham, Daniel ; McGloin, D. / Parametric resonance of optically trapped aerosols. In: Physical Review Letters. 2007 ; Vol. 99, No. 1. pp. 010601-1-010601-4.
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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. 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. {\circledC} 2007 The American Physical Society",
    keywords = "Aerosols, Lasers and laser optics, Laser trapping, Optical tweezers",
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    Di Leonardo, R, Ruocco, G, Leach, J, Padgett, MJ, Wright, AJ, Girkin, JM, Burnham, D & McGloin, D 2007, 'Parametric resonance of optically trapped aerosols', Physical Review Letters, vol. 99, no. 1, pp. 010601-1-010601-4. https://doi.org/10.1103/PhysRevLett.99.010601

    Parametric resonance of optically trapped aerosols. / Di Leonardo, R.; Ruocco, G.; Leach, J.; Padgett, M. J.; Wright, A. J.; Girkin, J. M.; Burnham, Daniel; McGloin, D.

    In: Physical Review Letters, Vol. 99, No. 1, 2007, p. 010601-1-010601-4.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Parametric resonance of optically trapped aerosols

    AU - Di Leonardo, R.

    AU - Ruocco, G.

    AU - Leach, J.

    AU - Padgett, M. J.

    AU - Wright, A. J.

    AU - Girkin, J. M.

    AU - Burnham, Daniel

    AU - McGloin, D.

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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. 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. © 2007 The American Physical Society

    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. 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. © 2007 The American Physical Society

    KW - Aerosols

    KW - Lasers and laser optics

    KW - Laser trapping

    KW - Optical tweezers

    U2 - 10.1103/PhysRevLett.99.010601

    DO - 10.1103/PhysRevLett.99.010601

    M3 - Article

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    JO - Physical Review Letters

    JF - Physical Review Letters

    SN - 0031-9007

    IS - 1

    ER -

    Di Leonardo R, Ruocco G, Leach J, Padgett MJ, Wright AJ, Girkin JM et al. Parametric resonance of optically trapped aerosols. Physical Review Letters. 2007;99(1):010601-1-010601-4. https://doi.org/10.1103/PhysRevLett.99.010601